{ "problem_id": "auto_problem_094", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "correct_answer": "Optimal feasible solution found via LP", "tree_type": "modification", "root_id": "node_0", "total_nodes": 3486, "max_depth": 8, "nodes": { "node_0": { "node_id": "node_0", "content": "INITIAL DESIGN (Trace 0)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.80 kg\n Factor of Safety: 0.76\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1": { "node_id": "node_1", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 0.76\n Max Deflection: 6.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.6167724095922, "fos_buckling": 0.7571951861455525, "fos_yielding": 1.7473531333241976, "deflection": 0.0069075624745326665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.239)" }, "parent_node_id": "node_0", "improvement_over_parent": null }, "node_2": { "node_id": "node_2", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 245.02 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.02132662015816, "fos_buckling": 1.2698056730380465, "fos_yielding": 1.7684104817113295, "deflection": 0.006354941709176645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003551)" }, "parent_node_id": "node_1", "improvement_over_parent": null }, "node_3": { "node_id": "node_3", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2688222213712, "fos_buckling": 1.5134728444279122, "fos_yielding": 2.18589985395348, "deflection": 0.005157191628548139, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_2", "improvement_over_parent": null }, "node_4": { "node_id": "node_4", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3", "improvement_over_parent": null }, "node_5": { "node_id": "node_5", "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 157.74 kg\n Factor of Safety: 0.32\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.74168222077924, "fos_buckling": 0.31774372900907843, "fos_yielding": 0.7315489606133432, "deflection": 0.019170966525122984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_6": { "node_id": "node_6", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 169.79 kg\n Factor of Safety: 0.32\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.79099472005893, "fos_buckling": 0.3176005270674387, "fos_yielding": 0.8952331484308429, "deflection": 0.016577629325051704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002733)" }, "parent_node_id": "node_5", "improvement_over_parent": null }, "node_7": { "node_id": "node_7", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n\nPerformance:\n Mass: 187.22 kg\n Factor of Safety: 0.75\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.22337350751607, "fos_buckling": 0.7530982570575024, "fos_yielding": 0.9296473233958307, "deflection": 0.008538711601998537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003530)" }, "parent_node_id": "node_6", "improvement_over_parent": null }, "node_8": { "node_id": "node_8", "content": "MODIFICATION: Increase 15 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 192.73 kg\n Factor of Safety: 0.75\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.7289207897996, "fos_buckling": 0.7539599120249535, "fos_yielding": 0.9307109764141119, "deflection": 0.008286309058788731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.342)" }, "parent_node_id": "node_7", "improvement_over_parent": null }, "node_9": { "node_id": "node_9", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 0.88\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.43119842890204, "fos_buckling": 0.8812941683664373, "fos_yielding": 1.1019461391538736, "deflection": 0.007036430376492945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_8", "improvement_over_parent": null }, "node_10": { "node_id": "node_10", "content": "MODIFICATION: Increase 10 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 237.52 kg\n Factor of Safety: 0.88\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.51504591205907, "fos_buckling": 0.8811039358300236, "fos_yielding": 1.1017082775900884, "deflection": 0.006863799546512163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.590)" }, "parent_node_id": "node_9", "improvement_over_parent": null }, "node_11": { "node_id": "node_11", "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0057)]\n\nPerformance:\n Mass: 248.17 kg\n Factor of Safety: 0.88\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.16566184066835, "fos_buckling": 0.8812748939638853, "fos_yielding": 1.1019220389677622, "deflection": 0.006371976408905903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.618)" }, "parent_node_id": "node_10", "improvement_over_parent": null }, "node_12": { "node_id": "node_12", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0073)]\n\nPerformance:\n Mass: 314.01 kg\n Factor of Safety: 1.10\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 314.0128144814188, "fos_buckling": 1.0987558065817937, "fos_yielding": 1.4062127682350976, "deflection": 0.005054898500005332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_11", "improvement_over_parent": null }, "node_13": { "node_id": "node_13", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_12", "improvement_over_parent": null }, "node_14": { "node_id": "node_14", "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 187.62 kg\n Factor of Safety: 0.88\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.6172726042582, "fos_buckling": 0.8819940549870144, "fos_yielding": 1.1026766262779208, "deflection": 0.008264934826920365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_15": { "node_id": "node_15", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 188.93 kg\n Factor of Safety: 1.01\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.9255769234633, "fos_buckling": 1.0142721855780517, "fos_yielding": 1.365307528517464, "deflection": 0.008206539522402419, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.261)" }, "parent_node_id": "node_14", "improvement_over_parent": null }, "node_16": { "node_id": "node_16", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 237.74 kg\n Factor of Safety: 1.24\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.73536368595705, "fos_buckling": 1.2377876046162, "fos_yielding": 1.716127372598293, "deflection": 0.006546032822047587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_15", "improvement_over_parent": null }, "node_17": { "node_id": "node_17", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.60 kg\n Factor of Safety: 1.36\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.60340310586037, "fos_buckling": 1.3584292761905676, "fos_yielding": 1.9160783495650997, "deflection": 0.005871664346624009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_16", "improvement_over_parent": null }, "node_18": { "node_id": "node_18", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.08 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.0793011079928, "fos_buckling": 1.5127284282484024, "fos_yielding": 2.184564578510449, "deflection": 0.0051603191485478815, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_17", "improvement_over_parent": null }, "node_19": { "node_id": "node_19", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_18", "improvement_over_parent": null }, "node_20": { "node_id": "node_20", "content": "INITIAL DESIGN (Trace 3)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 0.97\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.24143901969165, "fos_buckling": 0.9722869811993169, "fos_yielding": 1.227138590667564, "deflection": 0.007600645663789424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_21": { "node_id": "node_21", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 251.63 kg\n Factor of Safety: 1.17\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.62660393399423, "fos_buckling": 1.1735719626825472, "fos_yielding": 1.5142966381754355, "deflection": 0.006191626670990769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_20", "improvement_over_parent": null }, "node_22": { "node_id": "node_22", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 253.19 kg\n Factor of Safety: 1.31\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.1931443919403, "fos_buckling": 1.3053023417387422, "fos_yielding": 1.828268264830101, "deflection": 0.006153664566546303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.232)" }, "parent_node_id": "node_21", "improvement_over_parent": null }, "node_23": { "node_id": "node_23", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2245699093615, "fos_buckling": 1.5132805540545053, "fos_yielding": 2.1870141985845666, "deflection": 0.005157922856861696, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_22", "improvement_over_parent": null }, "node_24": { "node_id": "node_24", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_23", "improvement_over_parent": null }, "node_25": { "node_id": "node_25", "content": "INITIAL DESIGN (Trace 4)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.15 kg\n Factor of Safety: 0.85\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.153440508678, "fos_buckling": 0.8528084073033382, "fos_yielding": 1.7952787530971537, "deflection": 0.008055996033208166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_26": { "node_id": "node_26", "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 208.09 kg\n Factor of Safety: 0.85\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.09128185251456, "fos_buckling": 0.8525650183262131, "fos_yielding": 1.7950537060736176, "deflection": 0.008057032154796296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.179)" }, "parent_node_id": "node_25", "improvement_over_parent": null }, "node_27": { "node_id": "node_27", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.84 kg\n Factor of Safety: 0.97\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.83792804232596, "fos_buckling": 0.9653558967974061, "fos_yielding": 2.0847680722676936, "deflection": 0.006948304105722054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_26", "improvement_over_parent": null }, "node_28": { "node_id": "node_28", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 278.08 kg\n Factor of Safety: 1.08\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.0779895289252, "fos_buckling": 1.0788770819737865, "fos_yielding": 2.395400151560395, "deflection": 0.0060571476359939785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_27", "improvement_over_parent": null }, "node_29": { "node_id": "node_29", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 290.77 kg\n Factor of Safety: 1.23\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.76636078741376, "fos_buckling": 1.233647856544207, "fos_yielding": 2.1869499991936237, "deflection": 0.005629455219678054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_28", "improvement_over_parent": null }, "node_30": { "node_id": "node_30", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.72 kg\n Factor of Safety: 1.51\n Max Deflection: 5.37e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 297.7217675817836, "fos_buckling": 1.5108091222289834, "fos_yielding": 2.190888928127749, "deflection": 0.005368667331504461, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.399)" }, "parent_node_id": "node_29", "improvement_over_parent": null }, "node_31": { "node_id": "node_31", "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4464862922319, "fos_buckling": 1.5142421193308335, "fos_yielding": 2.187242405001525, "deflection": 0.005154219136032938, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.292)" }, "parent_node_id": "node_30", "improvement_over_parent": null }, "node_32": { "node_id": "node_32", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_31", "improvement_over_parent": null }, "node_33": { "node_id": "node_33", "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 196.65 kg\n Factor of Safety: 0.55\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.65152501376093, "fos_buckling": 0.5540268295464911, "fos_yielding": 1.7015592526301304, "deflection": 0.008487861249698317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_34": { "node_id": "node_34", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 235.37 kg\n Factor of Safety: 0.65\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.3744188625685, "fos_buckling": 0.6523020996634101, "fos_yielding": 2.035065417305975, "deflection": 0.007111269339998547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_33", "improvement_over_parent": null }, "node_35": { "node_id": "node_35", "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 242.90 kg\n Factor of Safety: 0.94\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.90430626426013, "fos_buckling": 0.9444430074388279, "fos_yielding": 2.035065417305975, "deflection": 0.0067225249098596595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.565)" }, "parent_node_id": "node_34", "improvement_over_parent": null }, "node_36": { "node_id": "node_36", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 253.68 kg\n Factor of Safety: 1.37\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.68410390695917, "fos_buckling": 1.3730497790909622, "fos_yielding": 1.8595002115637163, "deflection": 0.00622394733857256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003183)" }, "parent_node_id": "node_35", "improvement_over_parent": null }, "node_37": { "node_id": "node_37", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 257.73 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.7253745052666, "fos_buckling": 1.324978689658934, "fos_yielding": 1.8596237216939826, "deflection": 0.006047640993219633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.247)" }, "parent_node_id": "node_36", "improvement_over_parent": null }, "node_38": { "node_id": "node_38", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4787209827284, "fos_buckling": 1.5144815467834205, "fos_yielding": 2.187474294532011, "deflection": 0.00515378890408591, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_37", "improvement_over_parent": null }, "node_39": { "node_id": "node_39", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_38", "improvement_over_parent": null }, "node_40": { "node_id": "node_40", "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 197.03 kg\n Factor of Safety: 0.95\n Max Deflection: 7.63e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.02799087430105, "fos_buckling": 0.9488488987433352, "fos_yielding": 1.7106051075685584, "deflection": 7630110980361.218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_41": { "node_id": "node_41", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.53 kg\n Factor of Safety: 0.23\n Max Deflection: 1.42e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.5302213849151, "fos_buckling": 0.2308848338756099, "fos_yielding": 1.1753575413383959, "deflection": 14198646675933.844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_40", "improvement_over_parent": null }, "node_42": { "node_id": "node_42", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.91 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.91261884039426, "fos_buckling": 1.0916113606634092, "fos_yielding": 2.1924590090207268, "deflection": 0.006082460963172148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_41", "improvement_over_parent": null }, "node_43": { "node_id": "node_43", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 296.03 kg\n Factor of Safety: 1.29\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.0305740719687, "fos_buckling": 1.2885493655749662, "fos_yielding": 2.1900106885938087, "deflection": 0.005246466135519711, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_42", "improvement_over_parent": null }, "node_44": { "node_id": "node_44", "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0076)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 307.10 kg\n Factor of Safety: 1.30\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.0992789743348, "fos_buckling": 1.3028966762435663, "fos_yielding": 2.2159930016182603, "deflection": 0.005166343481962695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.497)" }, "parent_node_id": "node_43", "improvement_over_parent": null }, "node_45": { "node_id": "node_45", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_44", "improvement_over_parent": null }, "node_46": { "node_id": "node_46", "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 105.09 kg\n Factor of Safety: 0.03\n Max Deflection: 7.30e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.08529253315704, "fos_buckling": 0.031933896586700386, "fos_yielding": 0.14860709519394186, "deflection": 73043596501775.36, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_47": { "node_id": "node_47", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 129.16 kg\n Factor of Safety: 0.44\n Max Deflection: 6.29e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.1628611995821, "fos_buckling": 0.438541469820084, "fos_yielding": 1.2255304416771562, "deflection": 6285365045843.202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_46", "improvement_over_parent": null }, "node_48": { "node_id": "node_48", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 139.38 kg\n Factor of Safety: 0.25\n Max Deflection: 2.11e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.37690166761652, "fos_buckling": 0.2462067636634366, "fos_yielding": 0.7233747077423015, "deflection": 0.02105342746269648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002151)" }, "parent_node_id": "node_47", "improvement_over_parent": null }, "node_49": { "node_id": "node_49", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n\nPerformance:\n Mass: 162.71 kg\n Factor of Safety: 0.28\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.7055676764289, "fos_buckling": 0.28295013572717453, "fos_yielding": 0.8426014209426628, "deflection": 0.018073360009540226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_48", "improvement_over_parent": null }, "node_50": { "node_id": "node_50", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 193.02 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.01668048789077, "fos_buckling": 0.32880389548209804, "fos_yielding": 0.9967352827835705, "deflection": 0.015277380182788446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_49", "improvement_over_parent": null }, "node_51": { "node_id": "node_51", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 225.49 kg\n Factor of Safety: 0.38\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.48937583763663, "fos_buckling": 0.3755755023419786, "fos_yielding": 1.1608928254991444, "deflection": 0.01311602161966781, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_50", "improvement_over_parent": null }, "node_52": { "node_id": "node_52", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.44 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.4429505549962, "fos_buckling": 0.44538623754941825, "fos_yielding": 1.4214704991336855, "deflection": 0.01071030168919379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_51", "improvement_over_parent": null }, "node_53": { "node_id": "node_53", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5307428377723, "fos_buckling": 1.5145262167714038, "fos_yielding": 2.1877532761347354, "deflection": 0.00515300656055836, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_52", "improvement_over_parent": null }, "node_54": { "node_id": "node_54", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_53", "improvement_over_parent": null }, "node_55": { "node_id": "node_55", "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 211.26 kg\n Factor of Safety: 0.88\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.2615635983333, "fos_buckling": 0.8764951251355076, "fos_yielding": 1.694682160117405, "deflection": 0.007828307803530464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_56": { "node_id": "node_56", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.42 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.4245855170548, "fos_buckling": 1.0912313761675103, "fos_yielding": 2.2053368157742743, "deflection": 0.006036643086023183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_55", "improvement_over_parent": null }, "node_57": { "node_id": "node_57", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.02 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.016213514126, "fos_buckling": 1.0910860005959473, "fos_yielding": 2.1892710413991927, "deflection": 0.006003130502072907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.433)" }, "parent_node_id": "node_56", "improvement_over_parent": null }, "node_58": { "node_id": "node_58", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3573415195029, "fos_buckling": 1.5138335502893134, "fos_yielding": 2.1864443016779354, "deflection": 0.0051557671684015335, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_57", "improvement_over_parent": null }, "node_59": { "node_id": "node_59", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_58", "improvement_over_parent": null }, "node_60": { "node_id": "node_60", "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 180.65 kg\n Factor of Safety: 0.79\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.64984218816022, "fos_buckling": 0.7858946554564449, "fos_yielding": 1.1675113691061607, "deflection": 0.009254105591609692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_61": { "node_id": "node_61", "content": "MODIFICATION: Increase 10 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 185.80 kg\n Factor of Safety: 0.79\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.80474026140672, "fos_buckling": 0.7855957328220928, "fos_yielding": 1.142216106703365, "deflection": 0.009084486561963857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.479)" }, "parent_node_id": "node_60", "improvement_over_parent": null }, "node_62": { "node_id": "node_62", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 232.28 kg\n Factor of Safety: 0.95\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.27677365618715, "fos_buckling": 0.9468345314623221, "fos_yielding": 1.4326689035833349, "deflection": 0.007288422276787253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_61", "improvement_over_parent": null }, "node_63": { "node_id": "node_63", "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 238.91 kg\n Factor of Safety: 0.95\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.9059791643676, "fos_buckling": 0.9463745746572994, "fos_yielding": 1.4789232845344642, "deflection": 0.006944529845071428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.473)" }, "parent_node_id": "node_62", "improvement_over_parent": null }, "node_64": { "node_id": "node_64", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 244.72 kg\n Factor of Safety: 0.95\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.71708078648643, "fos_buckling": 0.9451671228410929, "fos_yielding": 1.4812292394216897, "deflection": 0.006646455273801106, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.383)" }, "parent_node_id": "node_63", "improvement_over_parent": null }, "node_65": { "node_id": "node_65", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 255.51 kg\n Factor of Safety: 1.05\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.5094079826567, "fos_buckling": 1.048553730768541, "fos_yielding": 1.4794304483874532, "deflection": 0.00615009935311815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003187)" }, "parent_node_id": "node_64", "improvement_over_parent": null }, "node_66": { "node_id": "node_66", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 300.44 kg\n Factor of Safety: 1.22\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.43822397547933, "fos_buckling": 1.2150191608674594, "fos_yielding": 1.7452855633876867, "deflection": 0.005247357835085297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_65", "improvement_over_parent": null }, "node_67": { "node_id": "node_67", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0050)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 302.83 kg\n Factor of Safety: 1.21\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.83145140339013, "fos_buckling": 1.2065271501728871, "fos_yielding": 1.7330874152870515, "deflection": 0.0051952451590392855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.497)" }, "parent_node_id": "node_66", "improvement_over_parent": null }, "node_68": { "node_id": "node_68", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_67", "improvement_over_parent": null }, "node_69": { "node_id": "node_69", "content": "INITIAL DESIGN (Trace 10)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 196.35 kg\n Factor of Safety: 0.33\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.35162043136853, "fos_buckling": 0.32650492968743067, "fos_yielding": 1.4375644736924216, "deflection": 0.01060944858764037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_70": { "node_id": "node_70", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.36 kg\n Factor of Safety: 0.88\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.35832891092863, "fos_buckling": 0.8846983785062901, "fos_yielding": 1.7225667912374087, "deflection": 0.00777385615088798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003832)" }, "parent_node_id": "node_69", "improvement_over_parent": null }, "node_71": { "node_id": "node_71", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 242.39 kg\n Factor of Safety: 0.97\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.38602568223547, "fos_buckling": 0.9730457174887809, "fos_yielding": 1.9281865610201656, "deflection": 0.006954646303417974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_70", "improvement_over_parent": null }, "node_72": { "node_id": "node_72", "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 245.78 kg\n Factor of Safety: 0.97\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.78094140375768, "fos_buckling": 0.9729229015568811, "fos_yielding": 1.9174920052882647, "deflection": 0.006926180204695786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.299)" }, "parent_node_id": "node_71", "improvement_over_parent": null }, "node_73": { "node_id": "node_73", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.78 kg\n Factor of Safety: 0.97\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.77927871385546, "fos_buckling": 0.9728144581955946, "fos_yielding": 1.9043249569216583, "deflection": 0.006889573518714855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.404)" }, "parent_node_id": "node_72", "improvement_over_parent": null }, "node_74": { "node_id": "node_74", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 263.65 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.64907186552693, "fos_buckling": 1.350081882617736, "fos_yielding": 1.9019993629910026, "deflection": 0.005914369093864686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003787)" }, "parent_node_id": "node_73", "improvement_over_parent": null }, "node_75": { "node_id": "node_75", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.72247258071553, "fos_buckling": 1.515240587786984, "fos_yielding": 2.1890941910945543, "deflection": 0.005149695121684202, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_74", "improvement_over_parent": null }, "node_76": { "node_id": "node_76", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_75", "improvement_over_parent": null }, "node_77": { "node_id": "node_77", "content": "INITIAL DESIGN (Trace 11)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 202.08 kg\n Factor of Safety: 0.04\n Max Deflection: 1.57e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.08156184020766, "fos_buckling": 0.0377262576221892, "fos_yielding": 0.12858354769704936, "deflection": 157184022845917.34, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_78": { "node_id": "node_78", "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 204.91 kg\n Factor of Safety: 0.08\n Max Deflection: 7.48e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.9104634519225, "fos_buckling": 0.07884760454318188, "fos_yielding": 0.34510927076173314, "deflection": 74770020094366.5, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.536)" }, "parent_node_id": "node_77", "improvement_over_parent": null }, "node_79": { "node_id": "node_79", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 0.06\n Max Deflection: 2.75e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.34620497635728, "fos_buckling": 0.05877226929114785, "fos_yielding": 0.2972141903878837, "deflection": 27546507221808.367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004849)" }, "parent_node_id": "node_78", "improvement_over_parent": null }, "node_80": { "node_id": "node_80", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 239.75 kg\n Factor of Safety: 0.49\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.7462516606671, "fos_buckling": 0.4893369377963882, "fos_yielding": 1.6622316922700502, "deflection": 0.008429163403431528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003382)" }, "parent_node_id": "node_79", "improvement_over_parent": null }, "node_81": { "node_id": "node_81", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 266.84 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.8431360853318, "fos_buckling": 0.5328440900067624, "fos_yielding": 1.8478895089408334, "deflection": 0.007588345917053675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_80", "improvement_over_parent": null }, "node_82": { "node_id": "node_82", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.63 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.6337636277458, "fos_buckling": 0.8899753454448157, "fos_yielding": 2.1591679211067074, "deflection": 0.006517925199228233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_81", "improvement_over_parent": null }, "node_83": { "node_id": "node_83", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 298.21 kg\n Factor of Safety: 1.48\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.207963292722, "fos_buckling": 1.4828173745765378, "fos_yielding": 2.1843451080636087, "deflection": 0.005194794805261526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_82", "improvement_over_parent": null }, "node_84": { "node_id": "node_84", "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0075)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 306.74 kg\n Factor of Safety: 1.51\n Max Deflection: 5.03e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 306.7440054613611, "fos_buckling": 1.513000732445897, "fos_yielding": 2.186691162616025, "deflection": 0.005028525294822405, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.374)" }, "parent_node_id": "node_83", "improvement_over_parent": null }, "node_85": { "node_id": "node_85", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_84", "improvement_over_parent": null }, "node_86": { "node_id": "node_86", "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.29 kg\n Factor of Safety: 0.58\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.29397181944572, "fos_buckling": 0.5780474464080764, "fos_yielding": 1.5629492908763498, "deflection": 0.0091637583105589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_87": { "node_id": "node_87", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.18 kg\n Factor of Safety: 0.69\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.1827119486207, "fos_buckling": 0.6945090425098822, "fos_yielding": 1.9507836713944555, "deflection": 0.007354423624873729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_86", "improvement_over_parent": null }, "node_88": { "node_id": "node_88", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.99 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.9869679277612, "fos_buckling": 0.8913029916778143, "fos_yielding": 2.158789410672263, "deflection": 0.006517958092549065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_87", "improvement_over_parent": null }, "node_89": { "node_id": "node_89", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 292.56 kg\n Factor of Safety: 1.43\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.56116759273743, "fos_buckling": 1.4346796850909684, "fos_yielding": 2.182563747596952, "deflection": 0.005265261177701876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_88", "improvement_over_parent": null }, "node_90": { "node_id": "node_90", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.96 kg\n Factor of Safety: 1.43\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.9599448280768, "fos_buckling": 1.43020202105003, "fos_yielding": 2.182387876194332, "deflection": 0.005218672214409632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.272)" }, "parent_node_id": "node_89", "improvement_over_parent": null }, "node_91": { "node_id": "node_91", "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0068)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 305.46 kg\n Factor of Safety: 1.42\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.4611094185606, "fos_buckling": 1.4221626178470772, "fos_yielding": 2.1602088874471037, "deflection": 0.005172730366813653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.618)" }, "parent_node_id": "node_90", "improvement_over_parent": null }, "node_92": { "node_id": "node_92", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_91", "improvement_over_parent": null }, "node_93": { "node_id": "node_93", "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 162.07 kg\n Factor of Safety: 0.44\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.06611735615843, "fos_buckling": 0.4410928534831954, "fos_yielding": 1.2320545005999037, "deflection": 11314523593664.342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_94": { "node_id": "node_94", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 206.87 kg\n Factor of Safety: 0.16\n Max Deflection: 2.43e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.86780856310943, "fos_buckling": 0.16403651291561164, "fos_yielding": 1.0432259266870776, "deflection": 24327856847048.387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_93", "improvement_over_parent": null }, "node_95": { "node_id": "node_95", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 218.14 kg\n Factor of Safety: 1.13\n Max Deflection: 5.95e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.14368953641883, "fos_buckling": 1.132495621025951, "fos_yielding": 1.5132500626938041, "deflection": 5947315711638.512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003342)" }, "parent_node_id": "node_94", "improvement_over_parent": null }, "node_96": { "node_id": "node_96", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 220.64 kg\n Factor of Safety: 1.45\n Max Deflection: 4.41e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.63512394584262, "fos_buckling": 1.4513878484531473, "fos_yielding": 1.188856761551535, "deflection": 4410968043339.139, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002073)" }, "parent_node_id": "node_95", "improvement_over_parent": null }, "node_97": { "node_id": "node_97", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 248.42 kg\n Factor of Safety: 0.53\n Max Deflection: 3.36e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.41745212234787, "fos_buckling": 0.5338178041733878, "fos_yielding": 2.1943982418026446, "deflection": 3355262116043.256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_96", "improvement_over_parent": null }, "node_98": { "node_id": "node_98", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 256.99 kg\n Factor of Safety: 0.01\n Max Deflection: 1.62e+14 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.99464581266375, "fos_buckling": 0.014428582188555234, "fos_yielding": 0.07430354759697094, "deflection": 161957587174015.97, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.504)" }, "parent_node_id": "node_97", "improvement_over_parent": null }, "node_99": { "node_id": "node_99", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 283.08 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.0824380954399, "fos_buckling": 0.9056657102681268, "fos_yielding": 2.16084032152967, "deflection": 0.005599525337054977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_98", "improvement_over_parent": null }, "node_100": { "node_id": "node_100", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3957729774667, "fos_buckling": 1.513938139160265, "fos_yielding": 2.1866926081346008, "deflection": 0.005155017772207656, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_99", "improvement_over_parent": null }, "node_101": { "node_id": "node_101", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_100", "improvement_over_parent": null }, "node_102": { "node_id": "node_102", "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 182.56 kg\n Factor of Safety: 0.80\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.55827527378975, "fos_buckling": 0.8027873931925575, "fos_yielding": 1.2344729205936376, "deflection": 0.009293531356939992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_103": { "node_id": "node_103", "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 185.78 kg\n Factor of Safety: 0.80\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.7824491288431, "fos_buckling": 0.8024973935479915, "fos_yielding": 1.2362067939073744, "deflection": 0.009209857437776359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.403)" }, "parent_node_id": "node_102", "improvement_over_parent": null }, "node_104": { "node_id": "node_104", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 207.86 kg\n Factor of Safety: 0.88\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8551487713147, "fos_buckling": 0.883588589126007, "fos_yielding": 1.3841037449807965, "deflection": 0.008244114149016811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_103", "improvement_over_parent": null }, "node_105": { "node_id": "node_105", "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 209.41 kg\n Factor of Safety: 0.88\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.40584079438383, "fos_buckling": 0.8835885891260075, "fos_yielding": 1.6952194066121704, "deflection": 0.008199946647418384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.250)" }, "parent_node_id": "node_104", "improvement_over_parent": null }, "node_106": { "node_id": "node_106", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 270.44 kg\n Factor of Safety: 1.09\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.4410761892871, "fos_buckling": 1.0910920077098674, "fos_yielding": 2.184775596017521, "deflection": 0.00637495267070456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_105", "improvement_over_parent": null }, "node_107": { "node_id": "node_107", "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 273.88 kg\n Factor of Safety: 1.09\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.8826716932212, "fos_buckling": 1.0906739941334957, "fos_yielding": 2.1863038157751356, "deflection": 0.006345885010724324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.224)" }, "parent_node_id": "node_106", "improvement_over_parent": null }, "node_108": { "node_id": "node_108", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.22 kg\n Factor of Safety: 1.57\n Max Deflection: 5.32e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.2237996985981, "fos_buckling": 1.5697407611101528, "fos_yielding": 2.1832588688735455, "deflection": 0.005315326377512056, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_107", "improvement_over_parent": null }, "node_109": { "node_id": "node_109", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.0951867089795, "fos_buckling": 1.5130310418717317, "fos_yielding": 2.1833967754064934, "deflection": 0.005160651705259366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.259)" }, "parent_node_id": "node_108", "improvement_over_parent": null }, "node_110": { "node_id": "node_110", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_109", "improvement_over_parent": null }, "node_111": { "node_id": "node_111", "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 244.47 kg\n Factor of Safety: 0.99\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.47452945424493, "fos_buckling": 0.9868126009855523, "fos_yielding": 2.1430926083979283, "deflection": 0.006644880445229477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_112": { "node_id": "node_112", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 260.60 kg\n Factor of Safety: 1.19\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.6011265247798, "fos_buckling": 1.1917257279535935, "fos_yielding": 1.9540683503070087, "deflection": 0.006156863511669477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003736)" }, "parent_node_id": "node_111", "improvement_over_parent": null }, "node_113": { "node_id": "node_113", "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 266.30 kg\n Factor of Safety: 1.24\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.29730613409447, "fos_buckling": 1.2393978943528754, "fos_yielding": 1.9571917075573817, "deflection": 0.0059167134681998275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.350)" }, "parent_node_id": "node_112", "improvement_over_parent": null }, "node_114": { "node_id": "node_114", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.86 kg\n Factor of Safety: 1.36\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8577967173477, "fos_buckling": 1.3635140612166181, "fos_yielding": 2.1871429014010757, "deflection": 0.005301734109836313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_113", "improvement_over_parent": null }, "node_115": { "node_id": "node_115", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4597465432502, "fos_buckling": 1.5137048031783205, "fos_yielding": 2.187254602481444, "deflection": 0.005153909679866742, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.200)" }, "parent_node_id": "node_114", "improvement_over_parent": null }, "node_116": { "node_id": "node_116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_115", "improvement_over_parent": null }, "node_117": { "node_id": "node_117", "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 0.71\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.96486819483926, "fos_buckling": 0.7093968474225881, "fos_yielding": 1.313066348084974, "deflection": 0.007866603311149389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_118": { "node_id": "node_118", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 204.51 kg\n Factor of Safety: 0.71\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.51164164973176, "fos_buckling": 0.7093968474225884, "fos_yielding": 1.6197343406807723, "deflection": 0.007813171927553323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.259)" }, "parent_node_id": "node_117", "improvement_over_parent": null }, "node_119": { "node_id": "node_119", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 219.71 kg\n Factor of Safety: 0.97\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.71129052838475, "fos_buckling": 0.9651586899550538, "fos_yielding": 1.6389772504728584, "deflection": 0.0072347553468629835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003272)" }, "parent_node_id": "node_118", "improvement_over_parent": null }, "node_120": { "node_id": "node_120", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 265.33 kg\n Factor of Safety: 1.14\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.32645581282674, "fos_buckling": 1.142955154683784, "fos_yielding": 1.976378969474331, "deflection": 0.00600919678149613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_119", "improvement_over_parent": null }, "node_121": { "node_id": "node_121", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 293.65 kg\n Factor of Safety: 1.25\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.65169924396764, "fos_buckling": 1.2494468193346329, "fos_yielding": 2.185372545205425, "deflection": 0.0054397315775276105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_120", "improvement_over_parent": null }, "node_122": { "node_id": "node_122", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.28353149267144, "fos_buckling": 1.5141376212605866, "fos_yielding": 2.1856050622256964, "deflection": 0.005156728290850771, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.395)" }, "parent_node_id": "node_121", "improvement_over_parent": null }, "node_123": { "node_id": "node_123", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_122", "improvement_over_parent": null }, "node_124": { "node_id": "node_124", "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 157.88 kg\n Factor of Safety: 0.37\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.88170516874882, "fos_buckling": 0.366197751693698, "fos_yielding": 0.9497087488320993, "deflection": 0.015371322106834529, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_125": { "node_id": "node_125", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 172.07 kg\n Factor of Safety: 0.37\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.0729050610525, "fos_buckling": 0.3656151152951066, "fos_yielding": 0.9201555402186581, "deflection": 0.014839952652621372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003041)" }, "parent_node_id": "node_124", "improvement_over_parent": null }, "node_126": { "node_id": "node_126", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 201.66 kg\n Factor of Safety: 0.42\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.66254858932405, "fos_buckling": 0.4187080722643963, "fos_yielding": 1.0811514861867908, "deflection": 0.012684603517104365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_125", "improvement_over_parent": null }, "node_127": { "node_id": "node_127", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 246.51 kg\n Factor of Safety: 0.49\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.5055695030008, "fos_buckling": 0.4938062667827207, "fos_yielding": 1.3270956125153663, "deflection": 0.010404081455255018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_126", "improvement_over_parent": null }, "node_128": { "node_id": "node_128", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 248.11 kg\n Factor of Safety: 0.49\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.11019798661226, "fos_buckling": 0.49368851161026694, "fos_yielding": 1.67770650652146, "deflection": 0.010000236547063031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.443)" }, "parent_node_id": "node_127", "improvement_over_parent": null }, "node_129": { "node_id": "node_129", "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 249.16 kg\n Factor of Safety: 0.49\n Max Deflection: 9.92e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.1627151867181, "fos_buckling": 0.49364990451190893, "fos_yielding": 1.677647204692276, "deflection": 0.009923695505785438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.658)" }, "parent_node_id": "node_128", "improvement_over_parent": null }, "node_130": { "node_id": "node_130", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 267.19 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.1944818719478, "fos_buckling": 0.4933194425666584, "fos_yielding": 1.6771393957512986, "deflection": 0.009480535161494956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_129", "improvement_over_parent": null }, "node_131": { "node_id": "node_131", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5768793274269, "fos_buckling": 1.5142791817202481, "fos_yielding": 2.1883779652852695, "deflection": 0.005152039867838618, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_130", "improvement_over_parent": null }, "node_132": { "node_id": "node_132", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_131", "improvement_over_parent": null }, "node_133": { "node_id": "node_133", "content": "INITIAL DESIGN (Trace 18)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 179.56 kg\n Factor of Safety: 0.82\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.56416669508982, "fos_buckling": 0.8237470857636534, "fos_yielding": 1.7185641093511796, "deflection": 0.009770925154876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_134": { "node_id": "node_134", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n\nPerformance:\n Mass: 191.84 kg\n Factor of Safety: 0.82\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.84285661471117, "fos_buckling": 0.8230001751737079, "fos_yielding": 1.7185641093511796, "deflection": 0.00876091717101602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003083)" }, "parent_node_id": "node_133", "improvement_over_parent": null }, "node_135": { "node_id": "node_135", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 235.06 kg\n Factor of Safety: 0.97\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.05618521999656, "fos_buckling": 0.9749609946391882, "fos_yielding": 2.1050476244581278, "deflection": 0.007172070839850874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_134", "improvement_over_parent": null }, "node_136": { "node_id": "node_136", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 246.20 kg\n Factor of Safety: 1.02\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.20453135757094, "fos_buckling": 1.018307809742816, "fos_yielding": 1.9566907634532227, "deflection": 0.006842527937206334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003301)" }, "parent_node_id": "node_135", "improvement_over_parent": null }, "node_137": { "node_id": "node_137", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.61 kg\n Factor of Safety: 1.36\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.61020622947586, "fos_buckling": 1.3627201816916374, "fos_yielding": 1.9233032582358474, "deflection": 0.0058498972270600936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004159)" }, "parent_node_id": "node_136", "improvement_over_parent": null }, "node_138": { "node_id": "node_138", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.493448213369, "fos_buckling": 1.514411905363146, "fos_yielding": 2.187535810047202, "deflection": 0.005153402503117353, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_137", "improvement_over_parent": null }, "node_139": { "node_id": "node_139", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_138", "improvement_over_parent": null }, "node_140": { "node_id": "node_140", "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 0.63\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.5048074177151, "fos_buckling": 0.6336891071916165, "fos_yielding": 1.4567473770617398, "deflection": 0.00962991297537621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_141": { "node_id": "node_141", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.94 kg\n Factor of Safety: 0.74\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.9441059182803, "fos_buckling": 0.7387331630099172, "fos_yielding": 1.7345253482687644, "deflection": 0.008098298581687171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_140", "improvement_over_parent": null }, "node_142": { "node_id": "node_142", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.92 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.92135141239123, "fos_buckling": 0.889600075919937, "fos_yielding": 2.1597875491336946, "deflection": 0.00651675329765326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_141", "improvement_over_parent": null }, "node_143": { "node_id": "node_143", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.49555107736745, "fos_buckling": 1.5143786137836284, "fos_yielding": 2.1875221010759245, "deflection": 0.005153427554225268, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_142", "improvement_over_parent": null }, "node_144": { "node_id": "node_144", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_143", "improvement_over_parent": null }, "node_145": { "node_id": "node_145", "content": "INITIAL DESIGN (Trace 20)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 151.07 kg\n Factor of Safety: 0.35\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.071649094443, "fos_buckling": 0.34864394809454385, "fos_yielding": 1.1124936364505853, "deflection": 0.015477562966779315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_146": { "node_id": "node_146", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 190.87 kg\n Factor of Safety: 0.43\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.87420581861278, "fos_buckling": 0.4262273854276434, "fos_yielding": 1.4031239246298053, "deflection": 0.012285757661288034, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_145", "improvement_over_parent": null }, "node_147": { "node_id": "node_147", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 221.24 kg\n Factor of Safety: 0.78\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.24331327470443, "fos_buckling": 0.7779665424695816, "fos_yielding": 1.8285407158002536, "deflection": 0.0073347587439785734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004925)" }, "parent_node_id": "node_146", "improvement_over_parent": null }, "node_148": { "node_id": "node_148", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 265.16 kg\n Factor of Safety: 0.90\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.15819666012834, "fos_buckling": 0.9047459577112643, "fos_yielding": 2.184306998102726, "deflection": 0.006140867221630917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_147", "improvement_over_parent": null }, "node_149": { "node_id": "node_149", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 283.19 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.1899633453581, "fos_buckling": 0.9059782723194113, "fos_yielding": 2.1617794089682434, "deflection": 0.00559741384922407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_148", "improvement_over_parent": null }, "node_150": { "node_id": "node_150", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5032982273849, "fos_buckling": 1.5145601497666856, "fos_yielding": 2.1876392939451197, "deflection": 0.005153108492041674, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_149", "improvement_over_parent": null }, "node_151": { "node_id": "node_151", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_150", "improvement_over_parent": null }, "node_152": { "node_id": "node_152", "content": "INITIAL DESIGN (Trace 21)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 220.13 kg\n Factor of Safety: 0.94\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.13278279079483, "fos_buckling": 0.9406423056866543, "fos_yielding": 2.0209152406039883, "deflection": 0.007577097637693613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_153": { "node_id": "node_153", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 261.22 kg\n Factor of Safety: 1.08\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.21679611747413, "fos_buckling": 1.0790934045428529, "fos_yielding": 2.3975160503086443, "deflection": 0.006408639449722342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_152", "improvement_over_parent": null }, "node_154": { "node_id": "node_154", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.25 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.2485628027039, "fos_buckling": 1.0918657013872628, "fos_yielding": 2.191268503833731, "deflection": 0.005998002193210662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_153", "improvement_over_parent": null }, "node_155": { "node_id": "node_155", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5896908080808, "fos_buckling": 1.5147637028976897, "fos_yielding": 2.188440493998151, "deflection": 0.005151601989668819, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_154", "improvement_over_parent": null }, "node_156": { "node_id": "node_156", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_155", "improvement_over_parent": null }, "node_157": { "node_id": "node_157", "content": "INITIAL DESIGN (Trace 22)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_158": { "node_id": "node_158", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 185.50 kg\n Factor of Safety: 0.47\n Max Deflection: 7.79e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.5016004469034, "fos_buckling": 0.4700052372183955, "fos_yielding": 1.1826114687892344, "deflection": 7787178448469.26, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004313)" }, "parent_node_id": "node_157", "improvement_over_parent": null }, "node_159": { "node_id": "node_159", "content": "MODIFICATION: Increase 3 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 191.05 kg\n Factor of Safety: 0.64\n Max Deflection: 1.81e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.0545777428271, "fos_buckling": 0.6419798175958382, "fos_yielding": 1.0353278122851992, "deflection": 18083283732982.723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.647)" }, "parent_node_id": "node_158", "improvement_over_parent": null }, "node_160": { "node_id": "node_160", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 193.48 kg\n Factor of Safety: 0.06\n Max Deflection: 3.75e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.48165879330608, "fos_buckling": 0.05947524590407222, "fos_yielding": 0.25883195307129986, "deflection": 37471199972126.92, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002015)" }, "parent_node_id": "node_159", "improvement_over_parent": null }, "node_161": { "node_id": "node_161", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 211.07 kg\n Factor of Safety: 0.44\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.06831103461928, "fos_buckling": 0.4394662527140918, "fos_yielding": 1.2736944188545603, "deflection": 0.01228470648157218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003828)" }, "parent_node_id": "node_160", "improvement_over_parent": null }, "node_162": { "node_id": "node_162", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 242.56 kg\n Factor of Safety: 1.01\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.55934587611233, "fos_buckling": 1.0054255063212436, "fos_yielding": 1.9278375916445725, "deflection": 0.006943872508266453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005122)" }, "parent_node_id": "node_161", "improvement_over_parent": null }, "node_163": { "node_id": "node_163", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 262.67 kg\n Factor of Safety: 1.35\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.66605327079253, "fos_buckling": 1.345874626943973, "fos_yielding": 1.8949469886352348, "deflection": 0.005936083117692579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004093)" }, "parent_node_id": "node_162", "improvement_over_parent": null }, "node_164": { "node_id": "node_164", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.55006366828604, "fos_buckling": 1.514526977423544, "fos_yielding": 2.187856958554387, "deflection": 0.005152573548401149, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_163", "improvement_over_parent": null }, "node_165": { "node_id": "node_165", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_164", "improvement_over_parent": null }, "node_166": { "node_id": "node_166", "content": "INITIAL DESIGN (Trace 23)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 175.84 kg\n Factor of Safety: 0.36\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.84249906823067, "fos_buckling": 0.3577917021091684, "fos_yielding": 1.1469531015687038, "deflection": 0.013999495109667595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_167": { "node_id": "node_167", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 0.98\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.64215356125376, "fos_buckling": 0.9775344576305343, "fos_yielding": 1.4820430567183556, "deflection": 0.0076568663891465934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003965)" }, "parent_node_id": "node_166", "improvement_over_parent": null }, "node_168": { "node_id": "node_168", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 257.13 kg\n Factor of Safety: 1.22\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.12592902044537, "fos_buckling": 1.2155886170538226, "fos_yielding": 1.8960608615063073, "deflection": 0.006001327691712233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_167", "improvement_over_parent": null }, "node_169": { "node_id": "node_169", "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0066)]\n\nPerformance:\n Mass: 265.05 kg\n Factor of Safety: 1.21\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.0549169719758, "fos_buckling": 1.2142690073421565, "fos_yielding": 1.8961264107775844, "deflection": 0.005801687362535116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.277)" }, "parent_node_id": "node_168", "improvement_over_parent": null }, "node_170": { "node_id": "node_170", "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0066)]\n\nPerformance:\n Mass: 267.98 kg\n Factor of Safety: 1.24\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.98146769455263, "fos_buckling": 1.2431591460677338, "fos_yielding": 1.8879272988299958, "deflection": 0.005776228932787791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.205)" }, "parent_node_id": "node_169", "improvement_over_parent": null }, "node_171": { "node_id": "node_171", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n\nPerformance:\n Mass: 306.88 kg\n Factor of Safety: 1.40\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.87662461133283, "fos_buckling": 1.3953206346661595, "fos_yielding": 2.1611865540220183, "deflection": 0.0050586563352469005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_170", "improvement_over_parent": null }, "node_172": { "node_id": "node_172", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_171", "improvement_over_parent": null }, "node_173": { "node_id": "node_173", "content": "INITIAL DESIGN (Trace 24)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 197.82 kg\n Factor of Safety: 0.12\n Max Deflection: 5.95e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.81708886394324, "fos_buckling": 0.12025527309317142, "fos_yielding": 0.5944283807757674, "deflection": 59533074356436.95, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_174": { "node_id": "node_174", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 210.97 kg\n Factor of Safety: 0.59\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.96950074296421, "fos_buckling": 0.5916775297397493, "fos_yielding": 1.706506805186284, "deflection": 0.014943585096158991, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003318)" }, "parent_node_id": "node_173", "improvement_over_parent": null }, "node_175": { "node_id": "node_175", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 215.25 kg\n Factor of Safety: 0.91\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.25236846072085, "fos_buckling": 0.9073268803736605, "fos_yielding": 1.711883574338895, "deflection": 0.007811242954760502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002499)" }, "parent_node_id": "node_174", "improvement_over_parent": null }, "node_176": { "node_id": "node_176", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n\nPerformance:\n Mass: 224.45 kg\n Factor of Safety: 0.87\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.4547119560178, "fos_buckling": 0.868387784992777, "fos_yielding": 1.688675685621247, "deflection": 0.0068942472594248055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.001796)" }, "parent_node_id": "node_175", "improvement_over_parent": null }, "node_177": { "node_id": "node_177", "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n\nPerformance:\n Mass: 227.90 kg\n Factor of Safety: 0.87\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.90499455750597, "fos_buckling": 0.8652526382578862, "fos_yielding": 1.688553514525422, "deflection": 0.006840740911727581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.287)" }, "parent_node_id": "node_176", "improvement_over_parent": null }, "node_178": { "node_id": "node_178", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0057)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 296.83 kg\n Factor of Safety: 1.11\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.8259885455016, "fos_buckling": 1.1112082711807072, "fos_yielding": 2.1957373402433893, "deflection": 0.005276120705492303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_177", "improvement_over_parent": null }, "node_179": { "node_id": "node_179", "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0089)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 306.56 kg\n Factor of Safety: 1.11\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.5627781649734, "fos_buckling": 1.1053939508464825, "fos_yielding": 2.1954332699920354, "deflection": 0.0052226516283440435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.558)" }, "parent_node_id": "node_178", "improvement_over_parent": null }, "node_180": { "node_id": "node_180", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_179", "improvement_over_parent": null }, "node_181": { "node_id": "node_181", "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_182": { "node_id": "node_182", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 209.19 kg\n Factor of Safety: 0.26\n Max Deflection: 2.97e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.191086285011, "fos_buckling": 0.2607382489614612, "fos_yielding": 0.6182866131631318, "deflection": 0.02969274549424172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003495)" }, "parent_node_id": "node_181", "improvement_over_parent": null }, "node_183": { "node_id": "node_183", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n\nPerformance:\n Mass: 239.78 kg\n Factor of Safety: 0.79\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.78286813236198, "fos_buckling": 0.7912211997527931, "fos_yielding": 1.8549323074632957, "deflection": 0.008390461810088875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004964)" }, "parent_node_id": "node_182", "improvement_over_parent": null }, "node_184": { "node_id": "node_184", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n\nPerformance:\n Mass: 248.85 kg\n Factor of Safety: 0.77\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.85095580253804, "fos_buckling": 0.769950067551568, "fos_yielding": 1.8246482256941832, "deflection": 0.007756341621059854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002644)" }, "parent_node_id": "node_183", "improvement_over_parent": null }, "node_185": { "node_id": "node_185", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n\nPerformance:\n Mass: 250.24 kg\n Factor of Safety: 0.76\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.23763424180015, "fos_buckling": 0.7636446419990118, "fos_yielding": 1.8242258179316548, "deflection": 0.007752498393735656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.190)" }, "parent_node_id": "node_184", "improvement_over_parent": null }, "node_186": { "node_id": "node_186", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 254.93 kg\n Factor of Safety: 1.31\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.9253576374249, "fos_buckling": 1.3135677430407224, "fos_yielding": 1.8472841267727833, "deflection": 0.006089866979580009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002754)" }, "parent_node_id": "node_185", "improvement_over_parent": null }, "node_187": { "node_id": "node_187", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0052)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1953833578565, "fos_buckling": 1.515905818447303, "fos_yielding": 2.19467413112039, "deflection": 0.005139447036273074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_186", "improvement_over_parent": null }, "node_188": { "node_id": "node_188", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_187", "improvement_over_parent": null }, "node_189": { "node_id": "node_189", "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 177.68 kg\n Factor of Safety: 0.39\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.67956924555472, "fos_buckling": 0.38532184982748086, "fos_yielding": 1.2486586270528097, "deflection": 0.014408080499460463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_190": { "node_id": "node_190", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 0.39\n Max Deflection: 1.44e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.5632993111991, "fos_buckling": 0.3852803545040405, "fos_yielding": 1.248597967847285, "deflection": 0.014409971305068032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.471)" }, "parent_node_id": "node_189", "improvement_over_parent": null }, "node_191": { "node_id": "node_191", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n\nPerformance:\n Mass: 207.57 kg\n Factor of Safety: 0.84\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.570346427, "fos_buckling": 0.8449968734207555, "fos_yielding": 1.7792428568157532, "deflection": 0.00755910597028744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004342)" }, "parent_node_id": "node_190", "improvement_over_parent": null }, "node_192": { "node_id": "node_192", "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n\nPerformance:\n Mass: 212.15 kg\n Factor of Safety: 0.84\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.1485408591264, "fos_buckling": 0.8441439483120281, "fos_yielding": 1.7792428568157532, "deflection": 0.007505117774474687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.332)" }, "parent_node_id": "node_191", "improvement_over_parent": null }, "node_193": { "node_id": "node_193", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 254.72 kg\n Factor of Safety: 0.98\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.71946176911734, "fos_buckling": 0.981897142443336, "fos_yielding": 2.1362966376955357, "deflection": 0.006272170053260199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_192", "improvement_over_parent": null }, "node_194": { "node_id": "node_194", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 270.79 kg\n Factor of Safety: 1.33\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.79042150078516, "fos_buckling": 1.3342128966019304, "fos_yielding": 1.952967654982626, "deflection": 0.0058095743783336375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003722)" }, "parent_node_id": "node_193", "improvement_over_parent": null }, "node_195": { "node_id": "node_195", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.76 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.76048639864996, "fos_buckling": 1.4655211052018555, "fos_yielding": 2.189428185734604, "deflection": 0.005191099339608024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_194", "improvement_over_parent": null }, "node_196": { "node_id": "node_196", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_195", "improvement_over_parent": null }, "node_197": { "node_id": "node_197", "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.83\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.49677018182956, "fos_buckling": 0.8333722459492336, "fos_yielding": 1.4946766284985304, "deflection": 0.008140326506333697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_198": { "node_id": "node_198", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.47 kg\n Factor of Safety: 0.92\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.46684774701322, "fos_buckling": 0.9236300796851729, "fos_yielding": 1.6697304764538068, "deflection": 0.007291311697422253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_197", "improvement_over_parent": null }, "node_199": { "node_id": "node_199", "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 226.88 kg\n Factor of Safety: 1.16\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.87912264575087, "fos_buckling": 1.1610600310222998, "fos_yielding": 1.6699761524677688, "deflection": 0.006781532012814079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.548)" }, "parent_node_id": "node_198", "improvement_over_parent": null }, "node_200": { "node_id": "node_200", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.11 kg\n Factor of Safety: 1.29\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.11087800844683, "fos_buckling": 1.2932373979539071, "fos_yielding": 1.8909316400324911, "deflection": 0.005998076321904437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_199", "improvement_over_parent": null }, "node_201": { "node_id": "node_201", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.20 kg\n Factor of Safety: 1.46\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.197125647034, "fos_buckling": 1.4603573660600184, "fos_yielding": 2.183326081735307, "deflection": 0.0052050641903592905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_200", "improvement_over_parent": null }, "node_202": { "node_id": "node_202", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31757916160785, "fos_buckling": 1.513802508918157, "fos_yielding": 2.1861389486776885, "deflection": 0.005156387843706943, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.473)" }, "parent_node_id": "node_201", "improvement_over_parent": null }, "node_203": { "node_id": "node_203", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_202", "improvement_over_parent": null }, "node_204": { "node_id": "node_204", "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.27 kg\n Factor of Safety: 1.26\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.26764082480264, "fos_buckling": 1.2566860311736696, "fos_yielding": 1.9227285299815897, "deflection": 0.006343877356061031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_205": { "node_id": "node_205", "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 262.96 kg\n Factor of Safety: 1.40\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.9593382125035, "fos_buckling": 1.4042939769486487, "fos_yielding": 1.9230280435360492, "deflection": 0.005994809103050484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.462)" }, "parent_node_id": "node_204", "improvement_over_parent": null }, "node_206": { "node_id": "node_206", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.39 kg\n Factor of Safety: 1.56\n Max Deflection: 5.28e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.38508985884414, "fos_buckling": 1.5600322686801502, "fos_yielding": 2.1872354223104185, "deflection": 0.005279155184670622, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_205", "improvement_over_parent": null }, "node_207": { "node_id": "node_207", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4732170827803, "fos_buckling": 1.5142887718769782, "fos_yielding": 2.187345182061632, "deflection": 0.0051537643275284695, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.209)" }, "parent_node_id": "node_206", "improvement_over_parent": null }, "node_208": { "node_id": "node_208", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_207", "improvement_over_parent": null }, "node_209": { "node_id": "node_209", "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.31\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.06169383285888, "fos_buckling": 0.30722116971816665, "fos_yielding": 1.1319832556778335, "deflection": 0.012651849879023182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_210": { "node_id": "node_210", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 160.77 kg\n Factor of Safety: 0.59\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.7687380064836, "fos_buckling": 0.5912932953104536, "fos_yielding": 1.3239323125965397, "deflection": 0.01071128518099269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001384)" }, "parent_node_id": "node_209", "improvement_over_parent": null }, "node_211": { "node_id": "node_211", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 206.39 kg\n Factor of Safety: 0.74\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.38799699736435, "fos_buckling": 0.7367407604620125, "fos_yielding": 1.697542624048783, "deflection": 0.008374072628145981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_210", "improvement_over_parent": null }, "node_212": { "node_id": "node_212", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 239.07 kg\n Factor of Safety: 0.83\n Max Deflection: 7.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.0726554354269, "fos_buckling": 0.8348892360503175, "fos_yielding": 1.9646487767700656, "deflection": 0.007248017081590814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_211", "improvement_over_parent": null }, "node_213": { "node_id": "node_213", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 240.74 kg\n Factor of Safety: 0.83\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.74447986744917, "fos_buckling": 0.8349948187266222, "fos_yielding": 1.9574202841165722, "deflection": 0.007226162364413098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_212", "improvement_over_parent": null }, "node_214": { "node_id": "node_214", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 265.94 kg\n Factor of Safety: 0.91\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.93710010613364, "fos_buckling": 0.9067727772960308, "fos_yielding": 2.1609620878638123, "deflection": 0.006554411888580228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_213", "improvement_over_parent": null }, "node_215": { "node_id": "node_215", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.06 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.0550553377081, "fos_buckling": 0.9056002900041226, "fos_yielding": 2.160627744307453, "deflection": 0.005600199813710729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_214", "improvement_over_parent": null }, "node_216": { "node_id": "node_216", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3683902197349, "fos_buckling": 1.5138465789657178, "fos_yielding": 2.186483795227487, "deflection": 0.005155627377022051, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_215", "improvement_over_parent": null }, "node_217": { "node_id": "node_217", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_216", "improvement_over_parent": null }, "node_218": { "node_id": "node_218", "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_219": { "node_id": "node_219", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 210.79 kg\n Factor of Safety: 0.77\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.79433280329192, "fos_buckling": 0.7699792834420526, "fos_yielding": 1.7879287685111465, "deflection": 0.007967023859468474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002688)" }, "parent_node_id": "node_218", "improvement_over_parent": null }, "node_220": { "node_id": "node_220", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 256.52 kg\n Factor of Safety: 0.91\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.516793417782, "fos_buckling": 0.9075369053147532, "fos_yielding": 2.1729222487071884, "deflection": 0.006570442046535746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_219", "improvement_over_parent": null }, "node_221": { "node_id": "node_221", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 280.86 kg\n Factor of Safety: 0.91\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.8579214231589, "fos_buckling": 0.9058685618733084, "fos_yielding": 2.1724652216730127, "deflection": 0.005623389425170309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_220", "improvement_over_parent": null }, "node_222": { "node_id": "node_222", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.17 kg\n Factor of Safety: 1.48\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.17125630518575, "fos_buckling": 1.478254977628129, "fos_yielding": 2.197438040541361, "deflection": 0.0051734598893895915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_221", "improvement_over_parent": null }, "node_223": { "node_id": "node_223", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5095552571343, "fos_buckling": 1.514472706061825, "fos_yielding": 2.1877762906143383, "deflection": 0.005152976154999704, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.248)" }, "parent_node_id": "node_222", "improvement_over_parent": null }, "node_224": { "node_id": "node_224", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_223", "improvement_over_parent": null }, "node_225": { "node_id": "node_225", "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.48 kg\n Factor of Safety: 0.30\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.4830582574713, "fos_buckling": 0.3009575718085455, "fos_yielding": 0.9178824409552738, "deflection": 0.016983244569956035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_226": { "node_id": "node_226", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 171.02 kg\n Factor of Safety: 0.30\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.01510889218025, "fos_buckling": 0.30093361299782084, "fos_yielding": 0.917814418098825, "deflection": 0.016932199360997963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.189)" }, "parent_node_id": "node_225", "improvement_over_parent": null }, "node_227": { "node_id": "node_227", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 217.10 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.10110369913113, "fos_buckling": 0.3697940674125482, "fos_yielding": 1.1594375296643187, "deflection": 0.013397221282164903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_226", "improvement_over_parent": null }, "node_228": { "node_id": "node_228", "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 221.32 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.31975920739208, "fos_buckling": 0.36973591142654116, "fos_yielding": 1.1400222507995628, "deflection": 0.013357450245947184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.277)" }, "parent_node_id": "node_227", "improvement_over_parent": null }, "node_229": { "node_id": "node_229", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 242.14 kg\n Factor of Safety: 1.26\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.13624214925042, "fos_buckling": 1.2572291895519243, "fos_yielding": 1.7477694672344095, "deflection": 0.006429162813538566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004266)" }, "parent_node_id": "node_228", "improvement_over_parent": null }, "node_230": { "node_id": "node_230", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.66442207624476, "fos_buckling": 1.5151252563158095, "fos_yielding": 2.1888126803572545, "deflection": 0.00515056305025379, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_229", "improvement_over_parent": null }, "node_231": { "node_id": "node_231", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_230", "improvement_over_parent": null }, "node_232": { "node_id": "node_232", "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 164.70 kg\n Factor of Safety: 0.26\n Max Deflection: 2.14e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.69723713360509, "fos_buckling": 0.2606396029887886, "fos_yielding": 0.739518218451364, "deflection": 0.021427809083464252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_233": { "node_id": "node_233", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n\nPerformance:\n Mass: 175.85 kg\n Factor of Safety: 0.72\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.85348988283906, "fos_buckling": 0.7202407455172132, "fos_yielding": 1.6169737752397193, "deflection": 0.009614437693707213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002212)" }, "parent_node_id": "node_232", "improvement_over_parent": null }, "node_234": { "node_id": "node_234", "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n\nPerformance:\n Mass: 182.84 kg\n Factor of Safety: 0.77\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.83521001264918, "fos_buckling": 0.77057881906002, "fos_yielding": 1.6169737752397193, "deflection": 0.008893406770847432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.650)" }, "parent_node_id": "node_233", "improvement_over_parent": null }, "node_235": { "node_id": "node_235", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 195.00 kg\n Factor of Safety: 0.79\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.99670445819652, "fos_buckling": 0.7908547210652423, "fos_yielding": 1.4762054521635086, "deflection": 0.008251591045958021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002760)" }, "parent_node_id": "node_234", "improvement_over_parent": null }, "node_236": { "node_id": "node_236", "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 0.79\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.41356968481094, "fos_buckling": 0.7887204569587746, "fos_yielding": 1.4873830938159123, "deflection": 0.008176731032111011, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.274)" }, "parent_node_id": "node_235", "improvement_over_parent": null }, "node_237": { "node_id": "node_237", "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 0.79\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.17301113935227, "fos_buckling": 0.7902961066871789, "fos_yielding": 1.4759923103562873, "deflection": 0.008128824376042012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.613)" }, "parent_node_id": "node_236", "improvement_over_parent": null }, "node_238": { "node_id": "node_238", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0050)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0052)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 249.72 kg\n Factor of Safety: 0.95\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.7179840032798, "fos_buckling": 0.9521146727557294, "fos_yielding": 1.8043263159637597, "deflection": 0.0066582525010487345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_237", "improvement_over_parent": null }, "node_239": { "node_id": "node_239", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0061)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 302.49 kg\n Factor of Safety: 1.13\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.4867490501367, "fos_buckling": 1.1330728464234583, "fos_yielding": 2.1844395043383464, "deflection": 0.0055076345190996434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_238", "improvement_over_parent": null }, "node_240": { "node_id": "node_240", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_239", "improvement_over_parent": null }, "node_241": { "node_id": "node_241", "content": "INITIAL DESIGN (Trace 33)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n\nPerformance:\n Mass: 136.35 kg\n Factor of Safety: 0.31\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.35065672658268, "fos_buckling": 0.30805529498742573, "fos_yielding": 0.9719815101717113, "deflection": 0.013762832384875353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_242": { "node_id": "node_242", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 161.17 kg\n Factor of Safety: 0.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.17128099770667, "fos_buckling": 0.35711515388096554, "fos_yielding": 1.1477816764814543, "deflection": 0.01166946418149963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_241", "improvement_over_parent": null }, "node_243": { "node_id": "node_243", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 205.49 kg\n Factor of Safety: 0.44\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.4943234180026, "fos_buckling": 0.43950230845909805, "fos_yielding": 1.4608518746138186, "deflection": 0.00918907464215201, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_242", "improvement_over_parent": null }, "node_244": { "node_id": "node_244", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 225.84 kg\n Factor of Safety: 0.90\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.84136846457304, "fos_buckling": 0.8971080565595978, "fos_yielding": 1.7297422731597405, "deflection": 0.007575304387367441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003902)" }, "parent_node_id": "node_243", "improvement_over_parent": null }, "node_245": { "node_id": "node_245", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n\nPerformance:\n Mass: 235.33 kg\n Factor of Safety: 1.16\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.32661330009077, "fos_buckling": 1.1614973167394864, "fos_yielding": 1.7278817423719575, "deflection": 0.006598751634230587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002347)" }, "parent_node_id": "node_244", "improvement_over_parent": null }, "node_246": { "node_id": "node_246", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 298.43 kg\n Factor of Safety: 1.43\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.43078881757503, "fos_buckling": 1.432678617884462, "fos_yielding": 2.1874427952592224, "deflection": 0.005228450384054939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_245", "improvement_over_parent": null }, "node_247": { "node_id": "node_247", "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0079)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 308.69 kg\n Factor of Safety: 1.44\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 308.68768002418886, "fos_buckling": 1.4418002919412198, "fos_yielding": 2.190567140247089, "deflection": 0.005024788415703768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.453)" }, "parent_node_id": "node_246", "improvement_over_parent": null }, "node_248": { "node_id": "node_248", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_247", "improvement_over_parent": null }, "node_249": { "node_id": "node_249", "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 0.53\n Max Deflection: 2.40e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.7066915251368, "fos_buckling": 0.5251005870299326, "fos_yielding": 1.0353278122851994, "deflection": 23990626506927.81, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_250": { "node_id": "node_250", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 210.28 kg\n Factor of Safety: 0.92\n Max Deflection: 4.60e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.280891190113, "fos_buckling": 0.9177351866607095, "fos_yielding": 2.0209105529930356, "deflection": 4597871623469.173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_249", "improvement_over_parent": null }, "node_251": { "node_id": "node_251", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 233.50 kg\n Factor of Safety: 0.53\n Max Deflection: 3.68e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.504411571261, "fos_buckling": 0.5338368721706739, "fos_yielding": 2.3777135231030697, "deflection": 3681613762472.828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_250", "improvement_over_parent": null }, "node_252": { "node_id": "node_252", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.54 kg\n Factor of Safety: 0.45\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.5361782564907, "fos_buckling": 0.4456562824913283, "fos_yielding": 1.8497647122289083, "deflection": 0.012053292111338244, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_251", "improvement_over_parent": null }, "node_253": { "node_id": "node_253", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.62397053926685, "fos_buckling": 0.531943272734083, "fos_yielding": 1.8473580968475656, "deflection": 0.0067038057537200085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_252", "improvement_over_parent": null }, "node_254": { "node_id": "node_254", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4145980816808, "fos_buckling": 1.5140704758672494, "fos_yielding": 2.186940056955708, "deflection": 0.005154714405106547, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_253", "improvement_over_parent": null }, "node_255": { "node_id": "node_255", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_254", "improvement_over_parent": null }, "node_256": { "node_id": "node_256", "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 249.99 kg\n Factor of Safety: 1.00\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.99061611133885, "fos_buckling": 0.9988981774694647, "fos_yielding": 2.1749835775003814, "deflection": 0.006326176747138019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_257": { "node_id": "node_257", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 266.36 kg\n Factor of Safety: 1.09\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.3592120892799, "fos_buckling": 1.090007961471656, "fos_yielding": 1.9896553106551458, "deflection": 0.005876064159994816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003797)" }, "parent_node_id": "node_256", "improvement_over_parent": null }, "node_258": { "node_id": "node_258", "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 273.93 kg\n Factor of Safety: 1.26\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.93093666201435, "fos_buckling": 1.258245354637453, "fos_yielding": 1.9849592220698111, "deflection": 0.005745391824440025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.608)" }, "parent_node_id": "node_257", "improvement_over_parent": null }, "node_259": { "node_id": "node_259", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.37\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.85853696546747, "fos_buckling": 1.3745105753043891, "fos_yielding": 2.1858660542167825, "deflection": 0.005224203937887174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_258", "improvement_over_parent": null }, "node_260": { "node_id": "node_260", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.47159205880394, "fos_buckling": 1.5142275853593816, "fos_yielding": 2.1872846891489797, "deflection": 0.005153934627111122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.447)" }, "parent_node_id": "node_259", "improvement_over_parent": null }, "node_261": { "node_id": "node_261", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_260", "improvement_over_parent": null }, "node_262": { "node_id": "node_262", "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 230.52 kg\n Factor of Safety: 1.17\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.51957679774623, "fos_buckling": 1.1748873951207974, "fos_yielding": 1.711300911760612, "deflection": 0.0067063428540643675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_263": { "node_id": "node_263", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 267.70 kg\n Factor of Safety: 1.33\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.6990630002194, "fos_buckling": 1.3317871225091646, "fos_yielding": 1.9851087404879202, "deflection": 0.005791496043633023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_262", "improvement_over_parent": null }, "node_264": { "node_id": "node_264", "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 275.16 kg\n Factor of Safety: 1.40\n Max Deflection: 5.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.1628313190176, "fos_buckling": 1.3985984626705246, "fos_yielding": 1.9847085094965444, "deflection": 0.00567165882331644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.555)" }, "parent_node_id": "node_263", "improvement_over_parent": null }, "node_265": { "node_id": "node_265", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2070967183799, "fos_buckling": 1.513180904653421, "fos_yielding": 2.185588835309302, "deflection": 0.005158063931815216, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_264", "improvement_over_parent": null }, "node_266": { "node_id": "node_266", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_265", "improvement_over_parent": null }, "node_267": { "node_id": "node_267", "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 229.10 kg\n Factor of Safety: 0.83\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.10267170521843, "fos_buckling": 0.8319639845361848, "fos_yielding": 1.9769509520320636, "deflection": 0.007157432243736049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_268": { "node_id": "node_268", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 253.99 kg\n Factor of Safety: 0.91\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.99320962827795, "fos_buckling": 0.9057904792634729, "fos_yielding": 2.186933234646189, "deflection": 0.006467243546638129, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_267", "improvement_over_parent": null }, "node_269": { "node_id": "node_269", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.02 kg\n Factor of Safety: 0.91\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.0249763135077, "fos_buckling": 0.9070252653366458, "fos_yielding": 2.162822681272024, "deflection": 0.005924825072848757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_268", "improvement_over_parent": null }, "node_270": { "node_id": "node_270", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 292.34 kg\n Factor of Safety: 1.20\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.3383111955345, "fos_buckling": 1.2025345505483436, "fos_yielding": 2.188172425032797, "deflection": 0.005497742841569039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_269", "improvement_over_parent": null }, "node_271": { "node_id": "node_271", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.57256053790354, "fos_buckling": 1.5142865769773042, "fos_yielding": 2.188466643034226, "deflection": 0.005152004244326884, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_270", "improvement_over_parent": null }, "node_272": { "node_id": "node_272", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_271", "improvement_over_parent": null }, "node_273": { "node_id": "node_273", "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.45 kg\n Factor of Safety: 0.72\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.45290482487798, "fos_buckling": 0.7173042220495249, "fos_yielding": 1.3377836936799796, "deflection": 0.009766368821059015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_274": { "node_id": "node_274", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n\nPerformance:\n Mass: 184.89 kg\n Factor of Safety: 1.00\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.8852610105564, "fos_buckling": 0.9950731434258827, "fos_yielding": 1.336207094853697, "deflection": 0.008383291693669777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002594)" }, "parent_node_id": "node_273", "improvement_over_parent": null }, "node_275": { "node_id": "node_275", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 206.48 kg\n Factor of Safety: 1.10\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.4849487392175, "fos_buckling": 1.0964837723483385, "fos_yielding": 1.4915769779217714, "deflection": 0.00751877061359376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_274", "improvement_over_parent": null }, "node_276": { "node_id": "node_276", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 239.39 kg\n Factor of Safety: 1.25\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.38691496209822, "fos_buckling": 1.2450824743634215, "fos_yielding": 1.7279516361251608, "deflection": 0.006501698256477738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_275", "improvement_over_parent": null }, "node_277": { "node_id": "node_277", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.7092324780814, "fos_buckling": 1.515250050264683, "fos_yielding": 2.189033304283402, "deflection": 0.005149868224689827, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_276", "improvement_over_parent": null }, "node_278": { "node_id": "node_278", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_277", "improvement_over_parent": null }, "node_279": { "node_id": "node_279", "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 186.85 kg\n Factor of Safety: 0.35\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.84832558167875, "fos_buckling": 0.35384522169928057, "fos_yielding": 0.6517601907461407, "deflection": 0.01827127113725969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_280": { "node_id": "node_280", "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 187.29 kg\n Factor of Safety: 0.35\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.29499569579542, "fos_buckling": 0.35383341262232393, "fos_yielding": 0.825423223031955, "deflection": 0.017273001360756973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.285)" }, "parent_node_id": "node_279", "improvement_over_parent": null }, "node_281": { "node_id": "node_281", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n\nPerformance:\n Mass: 196.90 kg\n Factor of Safety: 0.35\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.89838450533972, "fos_buckling": 0.3537065150546067, "fos_yielding": 1.0831626048205176, "deflection": 0.01610543740821327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002811)" }, "parent_node_id": "node_280", "improvement_over_parent": null }, "node_282": { "node_id": "node_282", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 234.78 kg\n Factor of Safety: 0.41\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.78437732167177, "fos_buckling": 0.4100696745009414, "fos_yielding": 1.286932276643041, "deflection": 0.013554143775808066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_281", "improvement_over_parent": null }, "node_283": { "node_id": "node_283", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.41949022177783, "fos_buckling": 0.44610504902552467, "fos_yielding": 1.423980963893336, "deflection": 0.012248917936431496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_282", "improvement_over_parent": null }, "node_284": { "node_id": "node_284", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.54 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.5374454533523, "fos_buckling": 0.4455379344900216, "fos_yielding": 1.4223037373948613, "deflection": 0.010706406371936285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_283", "improvement_over_parent": null }, "node_285": { "node_id": "node_285", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.63 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.62523773612844, "fos_buckling": 1.514933239627978, "fos_yielding": 2.1886621984045065, "deflection": 0.005151390397738251, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_284", "improvement_over_parent": null }, "node_286": { "node_id": "node_286", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_285", "improvement_over_parent": null }, "node_287": { "node_id": "node_287", "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 107.91 kg\n Factor of Safety: 0.51\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.9054096119254, "fos_buckling": 0.510235389919455, "fos_yielding": 0.8994143513632102, "deflection": 0.015340209353099536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_288": { "node_id": "node_288", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 140.88 kg\n Factor of Safety: 0.65\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.8787388557374, "fos_buckling": 0.6526104964156378, "fos_yielding": 1.1729868406928385, "deflection": 0.011774174977829028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_287", "improvement_over_parent": null }, "node_289": { "node_id": "node_289", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 174.23 kg\n Factor of Safety: 0.79\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.22678683266625, "fos_buckling": 0.7901620813028073, "fos_yielding": 1.449048072151209, "deflection": 0.009540471768971407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_288", "improvement_over_parent": null }, "node_290": { "node_id": "node_290", "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 177.53 kg\n Factor of Safety: 0.79\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.53118521400407, "fos_buckling": 0.790236840925698, "fos_yielding": 1.4656694608585468, "deflection": 0.009407357932711956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.406)" }, "parent_node_id": "node_289", "improvement_over_parent": null }, "node_291": { "node_id": "node_291", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 208.41 kg\n Factor of Safety: 0.91\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.41489062124984, "fos_buckling": 0.9097891159129844, "fos_yielding": 1.7189867148957954, "deflection": 0.008028452138959355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_290", "improvement_over_parent": null }, "node_292": { "node_id": "node_292", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 270.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.28166635539003, "fos_buckling": 1.1333034112230533, "fos_yielding": 2.2248902908656025, "deflection": 0.006214058803215659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_291", "improvement_over_parent": null }, "node_293": { "node_id": "node_293", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.48\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.505186736538, "fos_buckling": 1.4800108099223013, "fos_yielding": 2.193522442163268, "deflection": 0.005595623543078907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_292", "improvement_over_parent": null }, "node_294": { "node_id": "node_294", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3259176652008, "fos_buckling": 1.5136563742730589, "fos_yielding": 2.1861710988201724, "deflection": 0.005156114164671722, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.618)" }, "parent_node_id": "node_293", "improvement_over_parent": null }, "node_295": { "node_id": "node_295", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_294", "improvement_over_parent": null }, "node_296": { "node_id": "node_296", "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 177.54 kg\n Factor of Safety: 0.75\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.53521047280523, "fos_buckling": 0.7538920887705899, "fos_yielding": 1.388556704492628, "deflection": 0.009426742939977677, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_297": { "node_id": "node_297", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 179.34 kg\n Factor of Safety: 0.75\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.34253678307812, "fos_buckling": 0.7537902613474018, "fos_yielding": 1.42356623561146, "deflection": 0.00935883713200826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001470)" }, "parent_node_id": "node_296", "improvement_over_parent": null }, "node_298": { "node_id": "node_298", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 225.96 kg\n Factor of Safety: 0.92\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.95955975161223, "fos_buckling": 0.9193212012835594, "fos_yielding": 1.7908844702997235, "deflection": 0.007456898613522899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_297", "improvement_over_parent": null }, "node_299": { "node_id": "node_299", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 228.30 kg\n Factor of Safety: 0.92\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.29914815486833, "fos_buckling": 0.9192411125543118, "fos_yielding": 1.781205678966731, "deflection": 0.007426354887000231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.316)" }, "parent_node_id": "node_298", "improvement_over_parent": null }, "node_300": { "node_id": "node_300", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 281.40 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.39963120959595, "fos_buckling": 1.0912662323763196, "fos_yielding": 2.192084200649013, "deflection": 0.006050889074862061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_299", "improvement_over_parent": null }, "node_301": { "node_id": "node_301", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 298.52 kg\n Factor of Safety: 1.39\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.5175864411704, "fos_buckling": 1.3902109546824415, "fos_yielding": 2.1895304523557204, "deflection": 0.005209604141840451, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_300", "improvement_over_parent": null }, "node_302": { "node_id": "node_302", "content": "MODIFICATION: Increase 13 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0065)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 305.21 kg\n Factor of Safety: 1.40\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.2079979852857, "fos_buckling": 1.400489237021029, "fos_yielding": 2.20687954577422, "deflection": 0.005156061429835392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.294)" }, "parent_node_id": "node_301", "improvement_over_parent": null }, "node_303": { "node_id": "node_303", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_302", "improvement_over_parent": null }, "node_304": { "node_id": "node_304", "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.77 kg\n Factor of Safety: 1.29\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.7719837093636, "fos_buckling": 1.2868528046674703, "fos_yielding": 1.8643618649459637, "deflection": 0.005236416310700565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_305": { "node_id": "node_305", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.26345744828393, "fos_buckling": 1.5126852460823184, "fos_yielding": 2.1782560892778, "deflection": 0.005163667039283817, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.389)" }, "parent_node_id": "node_304", "improvement_over_parent": null }, "node_306": { "node_id": "node_306", "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.5526010960291, "fos_buckling": 1.5131558152833275, "fos_yielding": 2.1811256013616265, "deflection": 0.005160660217923972, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.186)" }, "parent_node_id": "node_305", "improvement_over_parent": null }, "node_307": { "node_id": "node_307", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4160863381836, "fos_buckling": 1.5140828080679012, "fos_yielding": 2.186938612530346, "deflection": 0.0051547182589118485, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.488)" }, "parent_node_id": "node_306", "improvement_over_parent": null }, "node_308": { "node_id": "node_308", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_307", "improvement_over_parent": null }, "node_309": { "node_id": "node_309", "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.62 kg\n Factor of Safety: 0.74\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.6158047419836, "fos_buckling": 0.7382562286917049, "fos_yielding": 2.218257651224553, "deflection": 0.011498739154758866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_310": { "node_id": "node_310", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 278.75 kg\n Factor of Safety: 0.91\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.7527521482948, "fos_buckling": 0.9050931890313364, "fos_yielding": 2.225099452453385, "deflection": 0.006168951325081405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002408)" }, "parent_node_id": "node_309", "improvement_over_parent": null }, "node_311": { "node_id": "node_311", "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 279.69 kg\n Factor of Safety: 0.91\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.6870518292639, "fos_buckling": 0.9051417074381238, "fos_yielding": 2.220837352267877, "deflection": 0.006161400161101532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.381)" }, "parent_node_id": "node_310", "improvement_over_parent": null }, "node_312": { "node_id": "node_312", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 302.91 kg\n Factor of Safety: 1.43\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.9105722104119, "fos_buckling": 1.4290599552219407, "fos_yielding": 2.189765076109908, "deflection": 0.005210620291037296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_311", "improvement_over_parent": null }, "node_313": { "node_id": "node_313", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_312", "improvement_over_parent": null }, "node_314": { "node_id": "node_314", "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 1.12\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.56700089763416, "fos_buckling": 1.1248442589158667, "fos_yielding": 1.5403094391129746, "deflection": 0.007905052557920634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_315": { "node_id": "node_315", "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 210.11 kg\n Factor of Safety: 1.12\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.11184666058486, "fos_buckling": 1.1248522078838152, "fos_yielding": 1.5405224743041996, "deflection": 0.007500681863169497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.475)" }, "parent_node_id": "node_314", "improvement_over_parent": null }, "node_316": { "node_id": "node_316", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 250.29 kg\n Factor of Safety: 1.31\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.28833411518113, "fos_buckling": 1.3056683055509257, "fos_yielding": 1.8330923298853206, "deflection": 0.006314600855497786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_315", "improvement_over_parent": null }, "node_317": { "node_id": "node_317", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.13 kg\n Factor of Safety: 1.51\n Max Deflection: 5.30e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.12515189367497, "fos_buckling": 1.510941478947745, "fos_yielding": 2.1878398500297007, "deflection": 0.0053018018120849315, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_316", "improvement_over_parent": null }, "node_318": { "node_id": "node_318", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.19 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.19295323614836, "fos_buckling": 1.5132033995028094, "fos_yielding": 2.1853918397499768, "deflection": 0.0051585112214018085, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.193)" }, "parent_node_id": "node_317", "improvement_over_parent": null }, "node_319": { "node_id": "node_319", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_318", "improvement_over_parent": null }, "node_320": { "node_id": "node_320", "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 197.07 kg\n Factor of Safety: 0.80\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.07348170589486, "fos_buckling": 0.8006878884898044, "fos_yielding": 1.552311712732265, "deflection": 0.008074672893858128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_321": { "node_id": "node_321", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 234.15 kg\n Factor of Safety: 0.94\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.1548442425553, "fos_buckling": 0.9400424669887972, "fos_yielding": 1.8413294029454907, "deflection": 0.0068108615390809575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_320", "improvement_over_parent": null }, "node_322": { "node_id": "node_322", "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.38 kg\n Factor of Safety: 1.01\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.37890152811298, "fos_buckling": 1.0066335899537087, "fos_yielding": 1.8374045723494747, "deflection": 0.0066620053341437955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.504)" }, "parent_node_id": "node_321", "improvement_over_parent": null }, "node_323": { "node_id": "node_323", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 286.10 kg\n Factor of Safety: 1.18\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.09669774225654, "fos_buckling": 1.1762638440528665, "fos_yielding": 2.1831028015256635, "deflection": 0.005613589453744639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_322", "improvement_over_parent": null }, "node_324": { "node_id": "node_324", "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 295.15 kg\n Factor of Safety: 1.44\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.1457467860796, "fos_buckling": 1.4401777611642328, "fos_yielding": 2.1887484268618684, "deflection": 0.005264060857845837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.582)" }, "parent_node_id": "node_323", "improvement_over_parent": null }, "node_325": { "node_id": "node_325", "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5898416706979, "fos_buckling": 1.5147908329073028, "fos_yielding": 2.188279546980382, "deflection": 0.005151830767849837, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.582)" }, "parent_node_id": "node_324", "improvement_over_parent": null }, "node_326": { "node_id": "node_326", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_325", "improvement_over_parent": null }, "node_327": { "node_id": "node_327", "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 164.97 kg\n Factor of Safety: 0.30\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.97363210069955, "fos_buckling": 0.298844056909953, "fos_yielding": 0.7435259269342133, "deflection": 0.017734979934849737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_328": { "node_id": "node_328", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 165.34 kg\n Factor of Safety: 0.30\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.33962252624443, "fos_buckling": 0.298835870839799, "fos_yielding": 0.9148691057475918, "deflection": 0.01733674341734331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.279)" }, "parent_node_id": "node_327", "improvement_over_parent": null }, "node_329": { "node_id": "node_329", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 181.61 kg\n Factor of Safety: 0.98\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.6075377332382, "fos_buckling": 0.9760528485661596, "fos_yielding": 1.3528615385809202, "deflection": 0.008455768892991994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003281)" }, "parent_node_id": "node_328", "improvement_over_parent": null }, "node_330": { "node_id": "node_330", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 225.11 kg\n Factor of Safety: 1.18\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.11487118926274, "fos_buckling": 1.1761516680123791, "fos_yielding": 1.6747039858065254, "deflection": 0.006844916978081287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_329", "improvement_over_parent": null }, "node_331": { "node_id": "node_331", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 291.57 kg\n Factor of Safety: 1.46\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.5703598338536, "fos_buckling": 1.4571849832728805, "fos_yielding": 2.1645617109013493, "deflection": 0.005312382877040197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_330", "improvement_over_parent": null }, "node_332": { "node_id": "node_332", "content": "MODIFICATION: Increase 11 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0064)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 299.15 kg\n Factor of Safety: 1.45\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.15353843469273, "fos_buckling": 1.453654649759007, "fos_yielding": 2.166390822671469, "deflection": 0.0052766846921157105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.429)" }, "parent_node_id": "node_331", "improvement_over_parent": null }, "node_333": { "node_id": "node_333", "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0064)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 304.17 kg\n Factor of Safety: 1.45\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.17156824275116, "fos_buckling": 1.4530227525204908, "fos_yielding": 2.1895385264144647, "deflection": 0.005203303694079985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.420)" }, "parent_node_id": "node_332", "improvement_over_parent": null }, "node_334": { "node_id": "node_334", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_333", "improvement_over_parent": null }, "node_335": { "node_id": "node_335", "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 212.31 kg\n Factor of Safety: 0.43\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.31435814346548, "fos_buckling": 0.42783449410985874, "fos_yielding": 1.416307776865513, "deflection": 0.008702498965584142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_336": { "node_id": "node_336", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 248.11 kg\n Factor of Safety: 0.49\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.1140961580588, "fos_buckling": 0.48644997279427055, "fos_yielding": 1.6528545489620547, "deflection": 0.007476623569639282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_335", "improvement_over_parent": null }, "node_337": { "node_id": "node_337", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.47 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.46895166952953, "fos_buckling": 0.5317100488683263, "fos_yielding": 1.8463339389757736, "deflection": 0.00670747294162729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_336", "improvement_over_parent": null }, "node_338": { "node_id": "node_338", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2595792119435, "fos_buckling": 1.5133913469656524, "fos_yielding": 2.185765810144479, "deflection": 0.005157421195995131, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_337", "improvement_over_parent": null }, "node_339": { "node_id": "node_339", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_338", "improvement_over_parent": null }, "node_340": { "node_id": "node_340", "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_341": { "node_id": "node_341", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 286.29 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.2947197179306, "fos_buckling": 1.090693797349381, "fos_yielding": 2.1896601129467936, "deflection": 0.0060045721029973135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_340", "improvement_over_parent": null }, "node_342": { "node_id": "node_342", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41267494950506, "fos_buckling": 1.5140513260232196, "fos_yielding": 2.1869390657938568, "deflection": 0.005154763213045904, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_341", "improvement_over_parent": null }, "node_343": { "node_id": "node_343", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_342", "improvement_over_parent": null }, "node_344": { "node_id": "node_344", "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 226.03 kg\n Factor of Safety: 0.79\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.0309923392886, "fos_buckling": 0.792245180991901, "fos_yielding": 1.8674781253509394, "deflection": 0.007182061838850897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_345": { "node_id": "node_345", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.93 kg\n Factor of Safety: 0.90\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.92501483250754, "fos_buckling": 0.9041117607086938, "fos_yielding": 2.1824671193760907, "deflection": 0.006146156895371851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_344", "improvement_over_parent": null }, "node_346": { "node_id": "node_346", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.24 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.23834971453437, "fos_buckling": 1.0761528404989813, "fos_yielding": 2.394602137837984, "deflection": 0.005580751608160014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_345", "improvement_over_parent": null }, "node_347": { "node_id": "node_347", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2701163997641, "fos_buckling": 1.513405035519081, "fos_yielding": 2.1857289711220442, "deflection": 0.005157352381842669, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_346", "improvement_over_parent": null }, "node_348": { "node_id": "node_348", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_347", "improvement_over_parent": null }, "node_349": { "node_id": "node_349", "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.98 kg\n Factor of Safety: 0.30\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.97948463313733, "fos_buckling": 0.30104742782634175, "fos_yielding": 0.9188199023901766, "deflection": 0.01692709727009515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_350": { "node_id": "node_350", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 187.39 kg\n Factor of Safety: 0.91\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.39291243715564, "fos_buckling": 0.9071851380573666, "fos_yielding": 1.366500545398643, "deflection": 0.008225501022138532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003312)" }, "parent_node_id": "node_349", "improvement_over_parent": null }, "node_351": { "node_id": "node_351", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 236.68 kg\n Factor of Safety: 1.12\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.68287810257183, "fos_buckling": 1.1169734163028548, "fos_yielding": 1.7237359030800383, "deflection": 0.0065377270513701825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_350", "improvement_over_parent": null }, "node_352": { "node_id": "node_352", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 267.67 kg\n Factor of Safety: 1.24\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.6711734508375, "fos_buckling": 1.24283314284127, "fos_yielding": 1.9478572025727163, "deflection": 0.005794878490526963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_351", "improvement_over_parent": null }, "node_353": { "node_id": "node_353", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.17 kg\n Factor of Safety: 1.36\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.1662408394816, "fos_buckling": 1.36217310325971, "fos_yielding": 2.168055580897075, "deflection": 0.005214600701868061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_352", "improvement_over_parent": null }, "node_354": { "node_id": "node_354", "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0070)]\n\nPerformance:\n Mass: 304.82 kg\n Factor of Safety: 1.35\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.82493074103536, "fos_buckling": 1.3518061592700539, "fos_yielding": 2.1701044396219684, "deflection": 0.0050708691638707065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.289)" }, "parent_node_id": "node_353", "improvement_over_parent": null }, "node_355": { "node_id": "node_355", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_354", "improvement_over_parent": null }, "node_356": { "node_id": "node_356", "content": "INITIAL DESIGN (Trace 51)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 152.03 kg\n Factor of Safety: 0.28\n Max Deflection: 2.27e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.02675893180043, "fos_buckling": 0.27853058336359826, "fos_yielding": 0.8365489501590346, "deflection": 0.02266301321740202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_357": { "node_id": "node_357", "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 153.24 kg\n Factor of Safety: 0.28\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.2399314581616, "fos_buckling": 0.27851792440333156, "fos_yielding": 0.8480702309720327, "deflection": 0.022592580857955492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.209)" }, "parent_node_id": "node_356", "improvement_over_parent": null }, "node_358": { "node_id": "node_358", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n\nPerformance:\n Mass: 156.45 kg\n Factor of Safety: 0.28\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.45059166196287, "fos_buckling": 0.2783839872178852, "fos_yielding": 0.8476899288596352, "deflection": 0.018483635553162518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001841)" }, "parent_node_id": "node_357", "improvement_over_parent": null }, "node_359": { "node_id": "node_359", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 200.77 kg\n Factor of Safety: 0.35\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.76960992917247, "fos_buckling": 0.3463194748331702, "fos_yielding": 1.0827510880476319, "deflection": 0.014464470502775308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_358", "improvement_over_parent": null }, "node_360": { "node_id": "node_360", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n\nPerformance:\n Mass: 220.06 kg\n Factor of Safety: 1.14\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.0610849104997, "fos_buckling": 1.1428611292399937, "fos_yielding": 1.599354731015475, "deflection": 0.007046546115158529, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003932)" }, "parent_node_id": "node_359", "improvement_over_parent": null }, "node_361": { "node_id": "node_361", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 265.15 kg\n Factor of Safety: 1.33\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.1542327702949, "fos_buckling": 1.3333870512242696, "fos_yielding": 1.924943743249124, "deflection": 0.005868441823908386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_360", "improvement_over_parent": null }, "node_362": { "node_id": "node_362", "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 270.12 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.1154349313147, "fos_buckling": 1.3774237872732698, "fos_yielding": 1.948285292910686, "deflection": 0.005775320646184217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.481)" }, "parent_node_id": "node_361", "improvement_over_parent": null }, "node_363": { "node_id": "node_363", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.06 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.0599125145128, "fos_buckling": 1.512583114905393, "fos_yielding": 2.1842677418823238, "deflection": 0.005160423673706366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_362", "improvement_over_parent": null }, "node_364": { "node_id": "node_364", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_363", "improvement_over_parent": null }, "node_365": { "node_id": "node_365", "content": "INITIAL DESIGN (Trace 52)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 239.31 kg\n Factor of Safety: 0.49\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.3108717201976, "fos_buckling": 0.49453996884660384, "fos_yielding": 1.6783330760342485, "deflection": 0.010984658952944797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_366": { "node_id": "node_366", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 242.12 kg\n Factor of Safety: 0.49\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.11512769933813, "fos_buckling": 0.4944367104283511, "fos_yielding": 1.6781748653921067, "deflection": 0.009907227007700381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_365", "improvement_over_parent": null }, "node_367": { "node_id": "node_367", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.50 kg\n Factor of Safety: 0.75\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.49752515481725, "fos_buckling": 0.7520936087945784, "fos_yielding": 2.1613521357858487, "deflection": 0.005765507263778117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_366", "improvement_over_parent": null }, "node_368": { "node_id": "node_368", "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 284.70 kg\n Factor of Safety: 0.75\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.7014499830415, "fos_buckling": 0.7524462225952329, "fos_yielding": 2.1757900403120947, "deflection": 0.005722870924748823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.272)" }, "parent_node_id": "node_367", "improvement_over_parent": null }, "node_369": { "node_id": "node_369", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 305.01 kg\n Factor of Safety: 1.41\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.01478486506835, "fos_buckling": 1.4119784389564929, "fos_yielding": 2.2056864163581875, "deflection": 0.005155405037274639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_368", "improvement_over_parent": null }, "node_370": { "node_id": "node_370", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_369", "improvement_over_parent": null }, "node_371": { "node_id": "node_371", "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n\nPerformance:\n Mass: 178.95 kg\n Factor of Safety: 0.90\n Max Deflection: 5.03e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.95102471356932, "fos_buckling": 0.9031590227991997, "fos_yielding": 1.9396357346331312, "deflection": 5029972859681.253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_372": { "node_id": "node_372", "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n\nPerformance:\n Mass: 184.19 kg\n Factor of Safety: 1.23\n Max Deflection: 4.37e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.18858063089297, "fos_buckling": 1.2336630495024152, "fos_yielding": 1.9396357346331312, "deflection": 4368790204332.273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.560)" }, "parent_node_id": "node_371", "improvement_over_parent": null }, "node_373": { "node_id": "node_373", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 205.06 kg\n Factor of Safety: 0.91\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.06378320795054, "fos_buckling": 0.910618550860082, "fos_yielding": 1.9396357346331312, "deflection": 0.007977265614834021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004011)" }, "parent_node_id": "node_372", "improvement_over_parent": null }, "node_374": { "node_id": "node_374", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 208.74 kg\n Factor of Safety: 0.91\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.73618997207134, "fos_buckling": 0.9098811742705126, "fos_yielding": 1.9396357346331312, "deflection": 0.007929157507661272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.261)" }, "parent_node_id": "node_373", "improvement_over_parent": null }, "node_375": { "node_id": "node_375", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.33 kg\n Factor of Safety: 0.92\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.3317487127339, "fos_buckling": 0.9174071084851455, "fos_yielding": 1.7733706579453206, "deflection": 0.007417081112084165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003354)" }, "parent_node_id": "node_374", "improvement_over_parent": null }, "node_376": { "node_id": "node_376", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 225.87 kg\n Factor of Safety: 0.92\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.86589681478674, "fos_buckling": 0.9171473957623949, "fos_yielding": 1.7745083593494697, "deflection": 0.007384182127877354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.196)" }, "parent_node_id": "node_375", "improvement_over_parent": null }, "node_377": { "node_id": "node_377", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.14 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.1431419137755, "fos_buckling": 1.0914832147935534, "fos_yielding": 2.1902751247766035, "deflection": 0.006000454316741503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_376", "improvement_over_parent": null }, "node_378": { "node_id": "node_378", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4842699191524, "fos_buckling": 1.5143114126459165, "fos_yielding": 2.187447489575822, "deflection": 0.005153570842508681, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_377", "improvement_over_parent": null }, "node_379": { "node_id": "node_379", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_378", "improvement_over_parent": null }, "node_380": { "node_id": "node_380", "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 183.10 kg\n Factor of Safety: 0.36\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.09776081247264, "fos_buckling": 0.3594538012252681, "fos_yielding": 1.153368165743282, "deflection": 0.013753580972194627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_381": { "node_id": "node_381", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 237.31 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.31399690056298, "fos_buckling": 0.44795666579560717, "fos_yielding": 1.491417004099496, "deflection": 0.010652306592856466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_380", "improvement_over_parent": null }, "node_382": { "node_id": "node_382", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 269.66 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.6601515181744, "fos_buckling": 1.3758891643085782, "fos_yielding": 1.9450284242612683, "deflection": 0.005784995707241299, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005273)" }, "parent_node_id": "node_381", "improvement_over_parent": null }, "node_383": { "node_id": "node_383", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5256789232137, "fos_buckling": 1.5148424638765863, "fos_yielding": 2.187609373351231, "deflection": 0.005152797017095892, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_382", "improvement_over_parent": null }, "node_384": { "node_id": "node_384", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_383", "improvement_over_parent": null }, "node_385": { "node_id": "node_385", "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 182.29 kg\n Factor of Safety: 0.24\n Max Deflection: 4.28e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.29246102453598, "fos_buckling": 0.23721541376343588, "fos_yielding": 0.5944283807757675, "deflection": 42849476486147.47, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_386": { "node_id": "node_386", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 201.15 kg\n Factor of Safety: 0.06\n Max Deflection: 3.60e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.154015363392, "fos_buckling": 0.05967004398417996, "fos_yielding": 0.29721419038788377, "deflection": 36042136603476.98, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003820)" }, "parent_node_id": "node_385", "improvement_over_parent": null }, "node_387": { "node_id": "node_387", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 222.10 kg\n Factor of Safety: 0.91\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.1017290387522, "fos_buckling": 0.9113129388133143, "fos_yielding": 1.9413111344854281, "deflection": 0.0072991668474591855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004026)" }, "parent_node_id": "node_386", "improvement_over_parent": null }, "node_388": { "node_id": "node_388", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 273.44 kg\n Factor of Safety: 1.08\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.44223385457036, "fos_buckling": 1.0770328555868347, "fos_yielding": 2.386216298569707, "deflection": 0.005950889576567748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_387", "improvement_over_parent": null }, "node_389": { "node_id": "node_389", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 291.47 kg\n Factor of Safety: 1.19\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.4740005398001, "fos_buckling": 1.185928288722985, "fos_yielding": 2.185189715850165, "deflection": 0.005526066139171473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_388", "improvement_over_parent": null }, "node_390": { "node_id": "node_390", "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2296874484687, "fos_buckling": 1.5133017657088137, "fos_yielding": 2.185505726724234, "deflection": 0.005157915935459602, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.524)" }, "parent_node_id": "node_389", "improvement_over_parent": null }, "node_391": { "node_id": "node_391", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_390", "improvement_over_parent": null }, "node_392": { "node_id": "node_392", "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 271.96 kg\n Factor of Safety: 1.08\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.9626174386603, "fos_buckling": 1.0794620642764907, "fos_yielding": 2.396528688840159, "deflection": 0.0059685184865594905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_393": { "node_id": "node_393", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.97834174021824, "fos_buckling": 1.0788295074469008, "fos_yielding": 2.3959062192813874, "deflection": 0.005969919539317007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.508)" }, "parent_node_id": "node_392", "improvement_over_parent": null }, "node_394": { "node_id": "node_394", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.16\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.010108425448, "fos_buckling": 1.1619372711344456, "fos_yielding": 2.18100278579732, "deflection": 0.005522024309775038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_393", "improvement_over_parent": null }, "node_395": { "node_id": "node_395", "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41578260607344, "fos_buckling": 1.5140679270331407, "fos_yielding": 2.1869585023781957, "deflection": 0.005154629861030673, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.618)" }, "parent_node_id": "node_394", "improvement_over_parent": null }, "node_396": { "node_id": "node_396", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_395", "improvement_over_parent": null }, "node_397": { "node_id": "node_397", "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 157.57 kg\n Factor of Safety: 0.69\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.56999513054026, "fos_buckling": 0.6899823738146362, "fos_yielding": 1.2894603429754024, "deflection": 0.010531671478351764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_398": { "node_id": "node_398", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 0.81\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.75486788058785, "fos_buckling": 0.8133786560264185, "fos_yielding": 1.2880819998499424, "deflection": 0.009077517531407987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002748)" }, "parent_node_id": "node_397", "improvement_over_parent": null }, "node_399": { "node_id": "node_399", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 216.90 kg\n Factor of Safety: 1.01\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.90286228900504, "fos_buckling": 1.005006786297341, "fos_yielding": 1.6244255342500227, "deflection": 0.007212041526596072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_398", "improvement_over_parent": null }, "node_400": { "node_id": "node_400", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 219.93 kg\n Factor of Safety: 1.07\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.92623567133603, "fos_buckling": 1.0714287835487664, "fos_yielding": 1.610269619649839, "deflection": 0.007154991649865626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.511)" }, "parent_node_id": "node_399", "improvement_over_parent": null }, "node_401": { "node_id": "node_401", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 263.61 kg\n Factor of Safety: 1.25\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.6084274852967, "fos_buckling": 1.2547393702349081, "fos_yielding": 1.9278364838284208, "deflection": 0.005988017738001466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_400", "improvement_over_parent": null }, "node_402": { "node_id": "node_402", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 267.50 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.5026299665771, "fos_buckling": 1.3665384927835, "fos_yielding": 1.929812022927223, "deflection": 0.005830896132708231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.221)" }, "parent_node_id": "node_401", "improvement_over_parent": null }, "node_403": { "node_id": "node_403", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.29356454572485, "fos_buckling": 1.5136596183111155, "fos_yielding": 2.186228162120736, "deflection": 0.005156824315673396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_402", "improvement_over_parent": null }, "node_404": { "node_id": "node_404", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_403", "improvement_over_parent": null }, "node_405": { "node_id": "node_405", "content": "INITIAL DESIGN (Trace 58)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 117.16 kg\n Factor of Safety: 0.99\n Max Deflection: 9.68e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.16138408186441, "fos_buckling": 0.9888649916628197, "fos_yielding": 1.2399755419515022, "deflection": 9679201952681.516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_406": { "node_id": "node_406", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n\nPerformance:\n Mass: 120.76 kg\n Factor of Safety: 0.54\n Max Deflection: 8.97e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.76394074508855, "fos_buckling": 0.540242612992558, "fos_yielding": 1.2399755419515022, "deflection": 8967744334641.79, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.391)" }, "parent_node_id": "node_405", "improvement_over_parent": null }, "node_407": { "node_id": "node_407", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 134.10 kg\n Factor of Safety: 0.25\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.10225770465576, "fos_buckling": 0.2527695526439509, "fos_yielding": 0.568059323218354, "deflection": 0.023630667224356538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002496)" }, "parent_node_id": "node_406", "improvement_over_parent": null }, "node_408": { "node_id": "node_408", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 154.62 kg\n Factor of Safety: 0.29\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.61548844751587, "fos_buckling": 0.28718145166739995, "fos_yielding": 0.6535677579398506, "deflection": 0.020539648394607292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_407", "improvement_over_parent": null }, "node_409": { "node_id": "node_409", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 202.23 kg\n Factor of Safety: 0.36\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.22917203993717, "fos_buckling": 0.3627691470640816, "fos_yielding": 0.8506551447107127, "deflection": 0.0157820072753821, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_408", "improvement_over_parent": null }, "node_410": { "node_id": "node_410", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 259.52 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.51993953225616, "fos_buckling": 0.44584932418732676, "fos_yielding": 1.0852601431651883, "deflection": 0.012371438102760585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_409", "improvement_over_parent": null }, "node_411": { "node_id": "node_411", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 285.61 kg\n Factor of Safety: 1.08\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.6077318150323, "fos_buckling": 1.0773580433284766, "fos_yielding": 2.39790401311189, "deflection": 0.005573736044336851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_410", "improvement_over_parent": null }, "node_412": { "node_id": "node_412", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.63949850026205, "fos_buckling": 1.515045630303816, "fos_yielding": 2.188793880236585, "deflection": 0.005151015426372621, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_411", "improvement_over_parent": null }, "node_413": { "node_id": "node_413", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_412", "improvement_over_parent": null }, "node_414": { "node_id": "node_414", "content": "INITIAL DESIGN (Trace 59)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.66 kg\n Factor of Safety: 0.92\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.66101816840575, "fos_buckling": 0.9205034569455681, "fos_yielding": 1.7076675115365503, "deflection": 0.006701376937891742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_415": { "node_id": "node_415", "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 287.76 kg\n Factor of Safety: 0.92\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.76374245705586, "fos_buckling": 0.9169400396187408, "fos_yielding": 1.682818111032061, "deflection": 0.006622960658616234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.653)" }, "parent_node_id": "node_414", "improvement_over_parent": null }, "node_416": { "node_id": "node_416", "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.35 kg\n Factor of Safety: 0.92\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.3452221203604, "fos_buckling": 0.9150716772078398, "fos_yielding": 1.6691978765056381, "deflection": 0.006580228660013444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.374)" }, "parent_node_id": "node_415", "improvement_over_parent": null }, "node_417": { "node_id": "node_417", "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.35 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.3515228906814, "fos_buckling": 0.8917215176806087, "fos_yielding": 1.6679640893836787, "deflection": 0.006570136964350414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.506)" }, "parent_node_id": "node_416", "improvement_over_parent": null }, "node_418": { "node_id": "node_418", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.93 kg\n Factor of Safety: 1.29\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.9257225556576, "fos_buckling": 1.291850688437559, "fos_yielding": 1.6894791623954062, "deflection": 0.005199764797844495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_417", "improvement_over_parent": null }, "node_419": { "node_id": "node_419", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 311.70 kg\n Factor of Safety: 1.29\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 311.69572288663636, "fos_buckling": 1.2919069320892815, "fos_yielding": 1.6895527177052059, "deflection": 0.004999649155196869, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.337)" }, "parent_node_id": "node_418", "improvement_over_parent": null }, "node_420": { "node_id": "node_420", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_419", "improvement_over_parent": null }, "node_421": { "node_id": "node_421", "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 171.32 kg\n Factor of Safety: 0.70\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.31599773477478, "fos_buckling": 0.7009001054539475, "fos_yielding": 0.8600907681591816, "deflection": 0.009171157999716023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_422": { "node_id": "node_422", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 213.63 kg\n Factor of Safety: 0.86\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.62818706282437, "fos_buckling": 0.8630431932263771, "fos_yielding": 1.0760676545115653, "deflection": 0.007374743544487741, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_421", "improvement_over_parent": null }, "node_423": { "node_id": "node_423", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 217.72 kg\n Factor of Safety: 0.86\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.71950167501623, "fos_buckling": 0.8641128035693936, "fos_yielding": 1.0774012761681457, "deflection": 0.007108057085166237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.284)" }, "parent_node_id": "node_422", "improvement_over_parent": null }, "node_424": { "node_id": "node_424", "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 220.51 kg\n Factor of Safety: 0.96\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.50850995813084, "fos_buckling": 0.9621431887974653, "fos_yielding": 1.6380510454065618, "deflection": 0.007003762965032674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.582)" }, "parent_node_id": "node_423", "improvement_over_parent": null }, "node_425": { "node_id": "node_425", "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 226.52 kg\n Factor of Safety: 1.19\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.51895216595358, "fos_buckling": 1.1878900021923386, "fos_yielding": 1.6344770917340317, "deflection": 0.006864031725925047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.567)" }, "parent_node_id": "node_424", "improvement_over_parent": null }, "node_426": { "node_id": "node_426", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.63 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.6285648623816, "fos_buckling": 1.388140757908223, "fos_yielding": 1.9651407004846015, "deflection": 0.0057232123238304435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_425", "improvement_over_parent": null }, "node_427": { "node_id": "node_427", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.63739768584173, "fos_buckling": 1.515057563857488, "fos_yielding": 2.1871270780569794, "deflection": 0.00515086452754935, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_426", "improvement_over_parent": null }, "node_428": { "node_id": "node_428", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_427", "improvement_over_parent": null }, "node_429": { "node_id": "node_429", "content": "INITIAL DESIGN (Trace 61)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.76 kg\n Factor of Safety: 0.92\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.7578475892577, "fos_buckling": 0.9217363496450984, "fos_yielding": 1.531317639615265, "deflection": 0.006687435267106423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_430": { "node_id": "node_430", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 0.89\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.0989755946346, "fos_buckling": 0.8894460026763082, "fos_yielding": 1.5296121827385631, "deflection": 0.006676781949059603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_429", "improvement_over_parent": null }, "node_431": { "node_id": "node_431", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 288.49 kg\n Factor of Safety: 0.89\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.4871863332165, "fos_buckling": 0.8932011880954193, "fos_yielding": 1.5515558926823025, "deflection": 0.006585320797900371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.597)" }, "parent_node_id": "node_430", "improvement_over_parent": null }, "node_432": { "node_id": "node_432", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 289.73 kg\n Factor of Safety: 0.89\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.7294083567039, "fos_buckling": 0.8917944982711399, "fos_yielding": 1.797196333781199, "deflection": 0.006552039004140463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.178)" }, "parent_node_id": "node_431", "improvement_over_parent": null }, "node_433": { "node_id": "node_433", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.30 kg\n Factor of Safety: 1.38\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.30360802168013, "fos_buckling": 1.375028291308839, "fos_yielding": 1.8176293399935126, "deflection": 0.005236327625977926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_432", "improvement_over_parent": null }, "node_434": { "node_id": "node_434", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 302.74 kg\n Factor of Safety: 1.38\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.7354460504123, "fos_buckling": 1.3750602691846463, "fos_yielding": 1.8176716110694355, "deflection": 0.005090291500286751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.230)" }, "parent_node_id": "node_433", "improvement_over_parent": null }, "node_435": { "node_id": "node_435", "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 310.34 kg\n Factor of Safety: 1.36\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 310.34467787682445, "fos_buckling": 1.364062362261413, "fos_yielding": 1.8031336423392368, "deflection": 0.0050546991943362105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.488)" }, "parent_node_id": "node_434", "improvement_over_parent": null }, "node_436": { "node_id": "node_436", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_435", "improvement_over_parent": null }, "node_437": { "node_id": "node_437", "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 169.90 kg\n Factor of Safety: 0.55\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.90022079714095, "fos_buckling": 0.5484846197367148, "fos_yielding": 1.45502564893866, "deflection": 0.010930899932854482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_438": { "node_id": "node_438", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 185.94 kg\n Factor of Safety: 0.80\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.93940432477382, "fos_buckling": 0.8012833846646016, "fos_yielding": 1.5106746722982265, "deflection": 0.009226440160153724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)" }, "parent_node_id": "node_437", "improvement_over_parent": null }, "node_439": { "node_id": "node_439", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 0.82\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.7483394650746, "fos_buckling": 0.8219415749426081, "fos_yielding": 1.5089220969318604, "deflection": 0.00797496787910591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003288)" }, "parent_node_id": "node_438", "improvement_over_parent": null }, "node_440": { "node_id": "node_440", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 243.28 kg\n Factor of Safety: 0.97\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.27523052453105, "fos_buckling": 0.971782708141727, "fos_yielding": 1.8083925725511112, "deflection": 0.0066629952975665535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_439", "improvement_over_parent": null }, "node_441": { "node_id": "node_441", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 293.68 kg\n Factor of Safety: 1.15\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.6759298458535, "fos_buckling": 1.151483898620163, "fos_yielding": 2.1797929822138276, "deflection": 0.00553631589034913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_440", "improvement_over_parent": null }, "node_442": { "node_id": "node_442", "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.27817917023657, "fos_buckling": 1.513513728540537, "fos_yielding": 2.185939852810923, "deflection": 0.005157021214616648, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.639)" }, "parent_node_id": "node_441", "improvement_over_parent": null }, "node_443": { "node_id": "node_443", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_442", "improvement_over_parent": null }, "node_444": { "node_id": "node_444", "content": "INITIAL DESIGN (Trace 63)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 188.11 kg\n Factor of Safety: 0.36\n Max Deflection: 4.91e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.10973973557424, "fos_buckling": 0.35840510695130434, "fos_yielding": 1.229434717617972, "deflection": 4905692643623.595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_445": { "node_id": "node_445", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 0.36\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.27972514068034, "fos_buckling": 0.3606395561703958, "fos_yielding": 1.4348644295088169, "deflection": 0.015560622500282126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001786)" }, "parent_node_id": "node_444", "improvement_over_parent": null }, "node_446": { "node_id": "node_446", "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 194.69 kg\n Factor of Safety: 0.36\n Max Deflection: 1.55e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.68708503706375, "fos_buckling": 0.36052090580321083, "fos_yielding": 1.4347589417943782, "deflection": 0.015483194541070456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.307)" }, "parent_node_id": "node_445", "improvement_over_parent": null }, "node_447": { "node_id": "node_447", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 214.88 kg\n Factor of Safety: 0.43\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.88019420876526, "fos_buckling": 0.4321686485393459, "fos_yielding": 1.433310579360393, "deflection": 0.008601013139323429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004129)" }, "parent_node_id": "node_446", "improvement_over_parent": null }, "node_448": { "node_id": "node_448", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 277.72 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.71923108918736, "fos_buckling": 0.5320930530908123, "fos_yielding": 1.848015998385193, "deflection": 0.006701587449893575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_447", "improvement_over_parent": null }, "node_449": { "node_id": "node_449", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.50985863160133, "fos_buckling": 1.5145732790084623, "fos_yielding": 2.1876883603619843, "deflection": 0.005153135545824686, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_448", "improvement_over_parent": null }, "node_450": { "node_id": "node_450", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_449", "improvement_over_parent": null }, "node_451": { "node_id": "node_451", "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 219.58 kg\n Factor of Safety: 0.43\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.57546071975213, "fos_buckling": 0.42618157140228313, "fos_yielding": 1.8509496923001638, "deflection": 0.00886390789278284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_452": { "node_id": "node_452", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 242.80 kg\n Factor of Safety: 0.53\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.7989811009001, "fos_buckling": 0.5337741187558187, "fos_yielding": 1.8488042571933903, "deflection": 0.007532484617241274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_451", "improvement_over_parent": null }, "node_453": { "node_id": "node_453", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 262.34 kg\n Factor of Safety: 1.09\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.342362049652, "fos_buckling": 1.0924516518956782, "fos_yielding": 2.128802904157829, "deflection": 0.006361045569233595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003737)" }, "parent_node_id": "node_452", "improvement_over_parent": null }, "node_454": { "node_id": "node_454", "content": "MODIFICATION: Increase 14 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 268.59 kg\n Factor of Safety: 1.09\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.59279946304684, "fos_buckling": 1.0921981623860835, "fos_yielding": 2.128802904157829, "deflection": 0.006287933436021351, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.351)" }, "parent_node_id": "node_453", "improvement_over_parent": null }, "node_455": { "node_id": "node_455", "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.17 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.1715524179209, "fos_buckling": 1.0912770738198492, "fos_yielding": 2.128802904157829, "deflection": 0.0060015895974806395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.449)" }, "parent_node_id": "node_454", "improvement_over_parent": null }, "node_456": { "node_id": "node_456", "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.09 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.08673992873946, "fos_buckling": 1.0912770738198492, "fos_yielding": 2.189780040273676, "deflection": 0.0060015895974806395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.484)" }, "parent_node_id": "node_455", "improvement_over_parent": null }, "node_457": { "node_id": "node_457", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.42786793411636, "fos_buckling": 1.5141025029679072, "fos_yielding": 2.1869527226216654, "deflection": 0.0051544109796413514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_456", "improvement_over_parent": null }, "node_458": { "node_id": "node_458", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_457", "improvement_over_parent": null }, "node_459": { "node_id": "node_459", "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.71 kg\n Factor of Safety: 1.09\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.71239416245308, "fos_buckling": 1.0909832661098322, "fos_yielding": 1.485566125539239, "deflection": 0.008084649372405635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_460": { "node_id": "node_460", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.39 kg\n Factor of Safety: 1.36\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.38852712517297, "fos_buckling": 1.358694548916746, "fos_yielding": 1.9206454829053539, "deflection": 0.006264885132808887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_459", "improvement_over_parent": null }, "node_461": { "node_id": "node_461", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.76 kg\n Factor of Safety: 1.36\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.7568301899425, "fos_buckling": 1.35628283565174, "fos_yielding": 1.9302985931353507, "deflection": 0.006225390456108898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.189)" }, "parent_node_id": "node_460", "improvement_over_parent": null }, "node_462": { "node_id": "node_462", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.06 kg\n Factor of Safety: 1.50\n Max Deflection: 5.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 295.06190567478893, "fos_buckling": 1.5035702643001356, "fos_yielding": 2.1902943768979863, "deflection": 0.005492386614037682, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_461", "improvement_over_parent": null }, "node_463": { "node_id": "node_463", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.10440819787743, "fos_buckling": 1.5128460086453208, "fos_yielding": 2.1847019993506134, "deflection": 0.005159774220654436, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.460)" }, "parent_node_id": "node_462", "improvement_over_parent": null }, "node_464": { "node_id": "node_464", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_463", "improvement_over_parent": null }, "node_465": { "node_id": "node_465", "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.43 kg\n Factor of Safety: 0.95\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.43400629809244, "fos_buckling": 0.9463142964426157, "fos_yielding": 2.033766916660883, "deflection": 0.007860693741975502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_466": { "node_id": "node_466", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.79 kg\n Factor of Safety: 1.08\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.7914085269219, "fos_buckling": 1.0796120277710881, "fos_yielding": 2.396128623650443, "deflection": 0.0066893745138855865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_465", "improvement_over_parent": null }, "node_467": { "node_id": "node_467", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 270.82 kg\n Factor of Safety: 1.09\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.8231752121516, "fos_buckling": 1.0916187373966078, "fos_yielding": 2.1580485943745424, "deflection": 0.006102983734421634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_466", "improvement_over_parent": null }, "node_468": { "node_id": "node_468", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 295.16 kg\n Factor of Safety: 1.38\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.1643032175285, "fos_buckling": 1.376718426137979, "fos_yielding": 2.0171409988405067, "deflection": 0.005305546093260203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_467", "improvement_over_parent": null }, "node_469": { "node_id": "node_469", "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.04 kg\n Factor of Safety: 1.42\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.0377881800301, "fos_buckling": 1.4239438408576286, "fos_yielding": 2.1554401309457316, "deflection": 0.005254884509897181, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.269)" }, "parent_node_id": "node_468", "improvement_over_parent": null }, "node_470": { "node_id": "node_470", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.42871548121417, "fos_buckling": 1.5141718612673056, "fos_yielding": 2.1871110385263144, "deflection": 0.005154409297896632, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.597)" }, "parent_node_id": "node_469", "improvement_over_parent": null }, "node_471": { "node_id": "node_471", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_470", "improvement_over_parent": null }, "node_472": { "node_id": "node_472", "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 205.39 kg\n Factor of Safety: 0.62\n Max Deflection: 1.52e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.38828860254083, "fos_buckling": 0.615905019728546, "fos_yielding": 1.787634119703551, "deflection": 0.015152906636301682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_473": { "node_id": "node_473", "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 210.95 kg\n Factor of Safety: 0.62\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.94668083897986, "fos_buckling": 0.6156470040906594, "fos_yielding": 1.7868852419660293, "deflection": 0.014535436396254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.387)" }, "parent_node_id": "node_472", "improvement_over_parent": null }, "node_474": { "node_id": "node_474", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 262.42 kg\n Factor of Safety: 0.74\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.4177924246954, "fos_buckling": 0.7384066933369617, "fos_yielding": 2.2188098825496283, "deflection": 0.011704683030081738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_473", "improvement_over_parent": null }, "node_475": { "node_id": "node_475", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.99 kg\n Factor of Safety: 1.13\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.9919920896716, "fos_buckling": 1.1335132296405008, "fos_yielding": 2.234110737314421, "deflection": 0.006227953794570392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_474", "improvement_over_parent": null }, "node_476": { "node_id": "node_476", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 291.22 kg\n Factor of Safety: 1.48\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.2155124708196, "fos_buckling": 1.4771701672560347, "fos_yielding": 2.2042363150471327, "deflection": 0.005619679292684008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_475", "improvement_over_parent": null }, "node_477": { "node_id": "node_477", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 293.53 kg\n Factor of Safety: 1.48\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.5295181530565, "fos_buckling": 1.4786983052147957, "fos_yielding": 2.194996736517982, "deflection": 0.005600900202014607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.245)" }, "parent_node_id": "node_476", "improvement_over_parent": null }, "node_478": { "node_id": "node_478", "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 299.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.30e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.4287015592022, "fos_buckling": 1.5121132619862492, "fos_yielding": 2.1899426442412366, "deflection": 0.005295635349023654, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.368)" }, "parent_node_id": "node_477", "improvement_over_parent": null }, "node_479": { "node_id": "node_479", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.48465354843654, "fos_buckling": 1.5143625914105252, "fos_yielding": 2.187506325997237, "deflection": 0.0051533165381828245, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.192)" }, "parent_node_id": "node_478", "improvement_over_parent": null }, "node_480": { "node_id": "node_480", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_479", "improvement_over_parent": null }, "node_481": { "node_id": "node_481", "content": "INITIAL DESIGN (Trace 68)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 156.39 kg\n Factor of Safety: 0.28\n Max Deflection: 1.85e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.3894235734237, "fos_buckling": 0.2798427902433559, "fos_yielding": 0.8372099476347229, "deflection": 0.01846607863442121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_482": { "node_id": "node_482", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 184.71 kg\n Factor of Safety: 0.32\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.71165729857657, "fos_buckling": 0.32399502837665256, "fos_yielding": 0.9860067326471119, "deflection": 0.015678616697101293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_481", "improvement_over_parent": null }, "node_483": { "node_id": "node_483", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 0.96\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.55320716906488, "fos_buckling": 0.9626961115244531, "fos_yielding": 1.2152449081873105, "deflection": 0.007648796053128841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003618)" }, "parent_node_id": "node_482", "improvement_over_parent": null }, "node_484": { "node_id": "node_484", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 227.18 kg\n Factor of Safety: 1.07\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.17715191998596, "fos_buckling": 1.0682761579396973, "fos_yielding": 1.3641559785746542, "deflection": 0.0068325729697521756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_483", "improvement_over_parent": null }, "node_485": { "node_id": "node_485", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 296.24 kg\n Factor of Safety: 1.35\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.23706988065345, "fos_buckling": 1.3510398407305615, "fos_yielding": 1.7835970222591977, "deflection": 0.005267323888296107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_484", "improvement_over_parent": null }, "node_486": { "node_id": "node_486", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 298.80 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.8016944356366, "fos_buckling": 1.3597591471662962, "fos_yielding": 1.7951079551910736, "deflection": 0.005222722730234379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.215)" }, "parent_node_id": "node_485", "improvement_over_parent": null }, "node_487": { "node_id": "node_487", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 306.61 kg\n Factor of Safety: 1.36\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.6114643847166, "fos_buckling": 1.359802073062941, "fos_yielding": 1.7951646245054238, "deflection": 0.0050694531955972795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.242)" }, "parent_node_id": "node_486", "improvement_over_parent": null }, "node_488": { "node_id": "node_488", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0074)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 309.28 kg\n Factor of Safety: 1.37\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 309.2841136904953, "fos_buckling": 1.3667545553826235, "fos_yielding": 1.8043430561022225, "deflection": 0.0050343546694438975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.190)" }, "parent_node_id": "node_487", "improvement_over_parent": null }, "node_489": { "node_id": "node_489", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_488", "improvement_over_parent": null }, "node_490": { "node_id": "node_490", "content": "INITIAL DESIGN (Trace 69)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 212.90 kg\n Factor of Safety: 1.14\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.90378152078262, "fos_buckling": 1.1411370070863514, "fos_yielding": 1.5741750028768777, "deflection": 0.007237574640032846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_491": { "node_id": "node_491", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 251.42 kg\n Factor of Safety: 1.31\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.41628548373066, "fos_buckling": 1.314352950655545, "fos_yielding": 1.8569782379754085, "deflection": 0.006147596597303595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_490", "improvement_over_parent": null }, "node_492": { "node_id": "node_492", "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.31 kg\n Factor of Safety: 1.31\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.30719815338483, "fos_buckling": 1.3144572607280511, "fos_yielding": 1.8422350181203169, "deflection": 0.0061036298178812655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.372)" }, "parent_node_id": "node_491", "improvement_over_parent": null }, "node_493": { "node_id": "node_493", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1963980919985, "fos_buckling": 1.513209945183587, "fos_yielding": 2.18540466206328, "deflection": 0.005158338801996505, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_492", "improvement_over_parent": null }, "node_494": { "node_id": "node_494", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_493", "improvement_over_parent": null }, "node_495": { "node_id": "node_495", "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.83547812975021, "fos_buckling": 0.9066349219118197, "fos_yielding": 2.159488377329746, "deflection": 0.007092873926337135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_496": { "node_id": "node_496", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 261.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.148813011777, "fos_buckling": 1.0925365475863102, "fos_yielding": 2.186561090412544, "deflection": 0.006369357929484403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_495", "improvement_over_parent": null }, "node_497": { "node_id": "node_497", "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n\nPerformance:\n Mass: 267.88 kg\n Factor of Safety: 1.09\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.882462313356, "fos_buckling": 1.0917175852266192, "fos_yielding": 2.1884266090323097, "deflection": 0.006318387746947845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.379)" }, "parent_node_id": "node_496", "improvement_over_parent": null }, "node_498": { "node_id": "node_498", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 292.22 kg\n Factor of Safety: 1.23\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.2235903187329, "fos_buckling": 1.2318922696781909, "fos_yielding": 2.185918704599285, "deflection": 0.005493412748903884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_497", "improvement_over_parent": null }, "node_499": { "node_id": "node_499", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0062)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.78 kg\n Factor of Safety: 1.24\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.7804297705317, "fos_buckling": 1.2413600577751596, "fos_yielding": 2.1820194891358815, "deflection": 0.005250501068693877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.348)" }, "parent_node_id": "node_498", "improvement_over_parent": null }, "node_500": { "node_id": "node_500", "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0086)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 307.45 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.4459326501428, "fos_buckling": 1.234313638699236, "fos_yielding": 2.183171412538113, "deflection": 0.005224897615587748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.391)" }, "parent_node_id": "node_499", "improvement_over_parent": null }, "node_501": { "node_id": "node_501", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_500", "improvement_over_parent": null }, "node_502": { "node_id": "node_502", "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 212.94 kg\n Factor of Safety: 0.72\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.94457819095368, "fos_buckling": 0.7240524228838728, "fos_yielding": 2.646014189389167, "deflection": 12771331395967.781, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_503": { "node_id": "node_503", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 249.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.3269756464328, "fos_buckling": 0.4461809990961305, "fos_yielding": 1.1061480678521567, "deflection": 0.01249447379508839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_502", "improvement_over_parent": null }, "node_504": { "node_id": "node_504", "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 0.45\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.03140765441594, "fos_buckling": 0.4461576096731238, "fos_yielding": 1.4240014777284944, "deflection": 0.012245348066090784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.368)" }, "parent_node_id": "node_503", "improvement_over_parent": null }, "node_505": { "node_id": "node_505", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 276.12 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.1191999371921, "fos_buckling": 1.091544192407202, "fos_yielding": 2.189823245920662, "deflection": 0.00600044245167662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_504", "improvement_over_parent": null }, "node_506": { "node_id": "node_506", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 279.08 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.0849735222361, "fos_buckling": 1.0913040381644241, "fos_yielding": 2.189770182204964, "deflection": 0.00600173028984498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.230)" }, "parent_node_id": "node_505", "improvement_over_parent": null }, "node_507": { "node_id": "node_507", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.426101527613, "fos_buckling": 1.5141431468109559, "fos_yielding": 2.1869435133362236, "deflection": 0.005154568100248527, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_506", "improvement_over_parent": null }, "node_508": { "node_id": "node_508", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_507", "improvement_over_parent": null }, "node_509": { "node_id": "node_509", "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 0.81\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.91346943480477, "fos_buckling": 0.8075168258720391, "fos_yielding": 1.449011753231294, "deflection": 0.008264499911799887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_510": { "node_id": "node_510", "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.07\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.1123276939, "fos_buckling": 1.0715871320291765, "fos_yielding": 1.4530069792147056, "deflection": 0.007716636491670623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.592)" }, "parent_node_id": "node_509", "improvement_over_parent": null }, "node_511": { "node_id": "node_511", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 261.76 kg\n Factor of Safety: 1.34\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.76151783321484, "fos_buckling": 1.3421508842441023, "fos_yielding": 1.8885715166090238, "deflection": 0.005956241501288234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_510", "improvement_over_parent": null }, "node_512": { "node_id": "node_512", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.22550564466314, "fos_buckling": 1.513370241213658, "fos_yielding": 2.1856604109026434, "deflection": 0.005158009334506601, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_511", "improvement_over_parent": null }, "node_513": { "node_id": "node_513", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_512", "improvement_over_parent": null }, "node_514": { "node_id": "node_514", "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 231.71 kg\n Factor of Safety: 1.03\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.71036226196767, "fos_buckling": 1.028207383591075, "fos_yielding": 1.6992968051406767, "deflection": 0.006848540838256718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_515": { "node_id": "node_515", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 236.00 kg\n Factor of Safety: 1.02\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.99907487554717, "fos_buckling": 1.0232927759672992, "fos_yielding": 1.698379575183437, "deflection": 0.006730052780105663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.490)" }, "parent_node_id": "node_514", "improvement_over_parent": null }, "node_516": { "node_id": "node_516", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 238.24 kg\n Factor of Safety: 1.31\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.24139610214638, "fos_buckling": 1.3055836470674294, "fos_yielding": 1.750988334447622, "deflection": 0.006637773257740863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001850)" }, "parent_node_id": "node_515", "improvement_over_parent": null }, "node_517": { "node_id": "node_517", "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 242.61 kg\n Factor of Safety: 1.26\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.6122266130223, "fos_buckling": 1.2591969278079507, "fos_yielding": 1.7511309540663558, "deflection": 0.006416737815258209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.292)" }, "parent_node_id": "node_516", "improvement_over_parent": null }, "node_518": { "node_id": "node_518", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5989796424498, "fos_buckling": 1.5147241848992226, "fos_yielding": 2.188277258408469, "deflection": 0.005151612665819464, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_517", "improvement_over_parent": null }, "node_519": { "node_id": "node_519", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_518", "improvement_over_parent": null }, "node_520": { "node_id": "node_520", "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.66 kg\n Factor of Safety: 1.31\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.66325038513997, "fos_buckling": 1.305772195232967, "fos_yielding": 1.7888279052085378, "deflection": 0.006753202984605093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_521": { "node_id": "node_521", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.04 kg\n Factor of Safety: 1.33\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.04052418472946, "fos_buckling": 1.3282890552972633, "fos_yielding": 1.7861207586179821, "deflection": 0.006509468710098901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.264)" }, "parent_node_id": "node_520", "improvement_over_parent": null }, "node_522": { "node_id": "node_522", "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.49 kg\n Factor of Safety: 1.28\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.49054479081917, "fos_buckling": 1.280791862071652, "fos_yielding": 1.7862649528534957, "deflection": 0.00629302493016501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.292)" }, "parent_node_id": "node_521", "improvement_over_parent": null }, "node_523": { "node_id": "node_523", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38800811756613, "fos_buckling": 1.5141879659305257, "fos_yielding": 2.1869133302173625, "deflection": 0.005155454258939161, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_522", "improvement_over_parent": null }, "node_524": { "node_id": "node_524", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_523", "improvement_over_parent": null }, "node_525": { "node_id": "node_525", "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 193.34 kg\n Factor of Safety: 0.40\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.34262546993554, "fos_buckling": 0.4038903926037305, "fos_yielding": 1.3177608177582705, "deflection": 0.012389407649561746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_526": { "node_id": "node_526", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 221.85 kg\n Factor of Safety: 0.74\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.85100162036676, "fos_buckling": 0.7378919809491814, "fos_yielding": 1.6959021504552299, "deflection": 0.007114906151977048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004601)" }, "parent_node_id": "node_525", "improvement_over_parent": null }, "node_527": { "node_id": "node_527", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 231.72 kg\n Factor of Safety: 1.16\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.72322928940406, "fos_buckling": 1.1571797180409658, "fos_yielding": 1.71328462176173, "deflection": 0.0066308108812061055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002076)" }, "parent_node_id": "node_526", "improvement_over_parent": null }, "node_528": { "node_id": "node_528", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 296.00 kg\n Factor of Safety: 1.42\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.0013922284419, "fos_buckling": 1.4243806621911916, "fos_yielding": 2.184594180421377, "deflection": 0.005216404229684983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_527", "improvement_over_parent": null }, "node_529": { "node_id": "node_529", "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0070)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 306.05 kg\n Factor of Safety: 1.42\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.0547081028125, "fos_buckling": 1.4161837243254518, "fos_yielding": 2.1614524395444468, "deflection": 0.005168589455067105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.656)" }, "parent_node_id": "node_528", "improvement_over_parent": null }, "node_530": { "node_id": "node_530", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_529", "improvement_over_parent": null }, "node_531": { "node_id": "node_531", "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_532": { "node_id": "node_532", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n\nPerformance:\n Mass: 188.64 kg\n Factor of Safety: 0.77\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.64364530478264, "fos_buckling": 0.765163746178501, "fos_yielding": 1.5845417683033458, "deflection": 0.008369306261269747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002434)" }, "parent_node_id": "node_531", "improvement_over_parent": null }, "node_533": { "node_id": "node_533", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.93\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.2772059575748, "fos_buckling": 0.9251543838055278, "fos_yielding": 1.9841484172249264, "deflection": 0.006709179509866095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_532", "improvement_over_parent": null }, "node_534": { "node_id": "node_534", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 285.12 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.12205363355196, "fos_buckling": 1.0758408400453086, "fos_yielding": 2.393708213135334, "deflection": 0.005582868468195632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_533", "improvement_over_parent": null }, "node_535": { "node_id": "node_535", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1538203187817, "fos_buckling": 1.5129587623048735, "fos_yielding": 2.184890405552999, "deflection": 0.005159251431795446, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_534", "improvement_over_parent": null }, "node_536": { "node_id": "node_536", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_535", "improvement_over_parent": null }, "node_537": { "node_id": "node_537", "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 149.76 kg\n Factor of Safety: 0.19\n Max Deflection: 2.30e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.75756269792836, "fos_buckling": 0.1852020897548744, "fos_yielding": 0.5944283807757675, "deflection": 22992627450345.85, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_538": { "node_id": "node_538", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 0.72\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.5575298160293, "fos_buckling": 0.7210540351846999, "fos_yielding": 1.1718530544950276, "deflection": 0.010385740161900884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002502)" }, "parent_node_id": "node_537", "improvement_over_parent": null }, "node_539": { "node_id": "node_539", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n Mass: 175.05 kg\n Factor of Safety: 0.84\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.04735749251367, "fos_buckling": 0.8352585511264398, "fos_yielding": 1.154247889549622, "deflection": 0.00888521477173761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002675)" }, "parent_node_id": "node_538", "improvement_over_parent": null }, "node_540": { "node_id": "node_540", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n Mass: 176.22 kg\n Factor of Safety: 0.95\n Max Deflection: 8.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.22392364764457, "fos_buckling": 0.9535449823382718, "fos_yielding": 1.273839378265035, "deflection": 0.008789527373857494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.284)" }, "parent_node_id": "node_539", "improvement_over_parent": null }, "node_541": { "node_id": "node_541", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 199.85 kg\n Factor of Safety: 1.07\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.8530744995806, "fos_buckling": 1.0656725518969268, "fos_yielding": 1.4438641011476452, "deflection": 0.007764363779287124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_540", "improvement_over_parent": null }, "node_542": { "node_id": "node_542", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 244.66 kg\n Factor of Safety: 1.27\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.66314329949466, "fos_buckling": 1.2682542992204782, "fos_yielding": 1.7657939699273986, "deflection": 0.006364076976216678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_541", "improvement_over_parent": null }, "node_543": { "node_id": "node_543", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4900481286735, "fos_buckling": 1.5143755151910199, "fos_yielding": 2.1874278632879673, "deflection": 0.005153524050020746, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_542", "improvement_over_parent": null }, "node_544": { "node_id": "node_544", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_543", "improvement_over_parent": null }, "node_545": { "node_id": "node_545", "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 233.02 kg\n Factor of Safety: 0.40\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.01691847293864, "fos_buckling": 0.4035399886537404, "fos_yielding": 0.9614456508731826, "deflection": 0.013948095045464959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_546": { "node_id": "node_546", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 256.12 kg\n Factor of Safety: 0.98\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.12320372209473, "fos_buckling": 0.9768165854412932, "fos_yielding": 1.8128960023793181, "deflection": 0.0062829148975966816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004775)" }, "parent_node_id": "node_545", "improvement_over_parent": null }, "node_547": { "node_id": "node_547", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 261.53 kg\n Factor of Safety: 0.98\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.5279830130644, "fos_buckling": 0.9764308913219633, "fos_yielding": 1.812896002379318, "deflection": 0.006142648287514481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.185)" }, "parent_node_id": "node_546", "improvement_over_parent": null }, "node_548": { "node_id": "node_548", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 272.77 kg\n Factor of Safety: 1.27\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.7665644842321, "fos_buckling": 1.2748734706112035, "fos_yielding": 1.6647621964469428, "deflection": 0.0056933294204093154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003330)" }, "parent_node_id": "node_547", "improvement_over_parent": null }, "node_549": { "node_id": "node_549", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0071)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 307.94 kg\n Factor of Safety: 1.42\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.9367821200324, "fos_buckling": 1.4163600131869605, "fos_yielding": 1.8818311036119735, "deflection": 0.005056763289404455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_548", "improvement_over_parent": null }, "node_550": { "node_id": "node_550", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_549", "improvement_over_parent": null }, "node_551": { "node_id": "node_551", "content": "INITIAL DESIGN (Trace 79)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 187.60 kg\n Factor of Safety: 0.77\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.59555499121717, "fos_buckling": 0.7724294110915364, "fos_yielding": 1.6007856681733916, "deflection": 0.008348055445763478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_552": { "node_id": "node_552", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.62 kg\n Factor of Safety: 0.93\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.62408839300724, "fos_buckling": 0.9257171015984205, "fos_yielding": 1.9836929862679356, "deflection": 0.006759702033959785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_551", "improvement_over_parent": null }, "node_553": { "node_id": "node_553", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 243.13 kg\n Factor of Safety: 1.21\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.13388306294368, "fos_buckling": 1.2054527165689992, "fos_yielding": 1.8312060133438135, "deflection": 0.0063133535024632965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003097)" }, "parent_node_id": "node_552", "improvement_over_parent": null }, "node_554": { "node_id": "node_554", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 293.97 kg\n Factor of Safety: 1.42\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.9699768598754, "fos_buckling": 1.424440354127404, "fos_yielding": 2.2103741277723254, "deflection": 0.005242629797834296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_553", "improvement_over_parent": null }, "node_555": { "node_id": "node_555", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.95 kg\n Factor of Safety: 1.42\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.95250280552864, "fos_buckling": 1.417867844050743, "fos_yielding": 2.1975832688918944, "deflection": 0.005216077458470268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.252)" }, "parent_node_id": "node_554", "improvement_over_parent": null }, "node_556": { "node_id": "node_556", "content": "MODIFICATION: Increase 14 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0073)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 306.97 kg\n Factor of Safety: 1.43\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.96729343182517, "fos_buckling": 1.4321229318292177, "fos_yielding": 2.2211322679475654, "deflection": 0.005139331026805973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.447)" }, "parent_node_id": "node_555", "improvement_over_parent": null }, "node_557": { "node_id": "node_557", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_556", "improvement_over_parent": null }, "node_558": { "node_id": "node_558", "content": "INITIAL DESIGN (Trace 80)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 1.08\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.39630749618874, "fos_buckling": 1.0779571700767305, "fos_yielding": 1.9737317648839845, "deflection": 0.006415792436009934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_559": { "node_id": "node_559", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 284.43 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.4280741814185, "fos_buckling": 1.090693696461299, "fos_yielding": 1.81529976933658, "deflection": 0.006035727094698045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_558", "improvement_over_parent": null }, "node_560": { "node_id": "node_560", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 286.30 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.2955237249725, "fos_buckling": 1.0906936964612988, "fos_yielding": 2.1895864630793134, "deflection": 0.006004578693200838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.235)" }, "parent_node_id": "node_559", "improvement_over_parent": null }, "node_561": { "node_id": "node_561", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41347895654695, "fos_buckling": 1.5140605263312532, "fos_yielding": 2.1868654748018073, "deflection": 0.005154756182058764, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_560", "improvement_over_parent": null }, "node_562": { "node_id": "node_562", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_561", "improvement_over_parent": null }, "node_563": { "node_id": "node_563", "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 193.41 kg\n Factor of Safety: 0.79\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.41015540817276, "fos_buckling": 0.7858453595164046, "fos_yielding": 1.40575389838525, "deflection": 0.00818431393090893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_564": { "node_id": "node_564", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.73 kg\n Factor of Safety: 0.94\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.72576200858285, "fos_buckling": 0.9440543058674034, "fos_yielding": 1.7519954063138898, "deflection": 0.006601825145468402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_563", "improvement_over_parent": null }, "node_565": { "node_id": "node_565", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 242.18 kg\n Factor of Safety: 0.94\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.17514682483056, "fos_buckling": 0.944054305867404, "fos_yielding": 2.033590084993164, "deflection": 0.006549033275114514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.236)" }, "parent_node_id": "node_564", "improvement_over_parent": null }, "node_566": { "node_id": "node_566", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.17 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.1726462364402, "fos_buckling": 1.0759805783185399, "fos_yielding": 2.394105364454937, "deflection": 0.00558187865148244, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_565", "improvement_over_parent": null }, "node_567": { "node_id": "node_567", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2044129216699, "fos_buckling": 1.5132186416225966, "fos_yielding": 2.185262339900134, "deflection": 0.005158353311970589, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_566", "improvement_over_parent": null }, "node_568": { "node_id": "node_568", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_567", "improvement_over_parent": null }, "node_569": { "node_id": "node_569", "content": "INITIAL DESIGN (Trace 82)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 0.33\n Max Deflection: 1.82e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.86521002802394, "fos_buckling": 0.332944085939511, "fos_yielding": 0.8379780563273118, "deflection": 0.018239736492965973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_570": { "node_id": "node_570", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n\nPerformance:\n Mass: 154.65 kg\n Factor of Safety: 0.36\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.65168339595218, "fos_buckling": 0.362106396173223, "fos_yielding": 0.8376590608288252, "deflection": 0.011664131345922714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003625)" }, "parent_node_id": "node_569", "improvement_over_parent": null }, "node_571": { "node_id": "node_571", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.61\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.80507032781355, "fos_buckling": 0.6061718543030437, "fos_yielding": 0.9888126090663732, "deflection": 0.009772460735727889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003052)" }, "parent_node_id": "node_570", "improvement_over_parent": null }, "node_572": { "node_id": "node_572", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 172.66 kg\n Factor of Safety: 0.61\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.66249154052775, "fos_buckling": 0.6061718543030435, "fos_yielding": 1.3574166871325997, "deflection": 0.009670694447296112, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.410)" }, "parent_node_id": "node_571", "improvement_over_parent": null }, "node_573": { "node_id": "node_573", "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 177.33 kg\n Factor of Safety: 0.61\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.3258629560926, "fos_buckling": 0.6061718543030449, "fos_yielding": 1.3572446456153051, "deflection": 0.008874409659928969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.397)" }, "parent_node_id": "node_572", "improvement_over_parent": null }, "node_574": { "node_id": "node_574", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.04 kg\n Factor of Safety: 0.73\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.04343431495104, "fos_buckling": 0.7298575836197941, "fos_yielding": 1.674943338399029, "deflection": 0.007205062860938559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_573", "improvement_over_parent": null }, "node_575": { "node_id": "node_575", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.10 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.1024118700211, "fos_buckling": 0.9057874758804806, "fos_yielding": 2.161598252993227, "deflection": 0.005599467109093031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_574", "improvement_over_parent": null }, "node_576": { "node_id": "node_576", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41574675204794, "fos_buckling": 1.5140129665752786, "fos_yielding": 2.1874632988562936, "deflection": 0.005154855407775458, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_575", "improvement_over_parent": null }, "node_577": { "node_id": "node_577", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_576", "improvement_over_parent": null }, "node_578": { "node_id": "node_578", "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_579": { "node_id": "node_579", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 221.73 kg\n Factor of Safety: 0.94\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.7329681451197, "fos_buckling": 0.9370166979012974, "fos_yielding": 1.446767280420404, "deflection": 0.007728680073107919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003603)" }, "parent_node_id": "node_578", "improvement_over_parent": null }, "node_580": { "node_id": "node_580", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.31 kg\n Factor of Safety: 1.09\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.31151352111675, "fos_buckling": 1.091815992157391, "fos_yielding": 1.747923418598703, "deflection": 0.006430299638326587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_579", "improvement_over_parent": null }, "node_581": { "node_id": "node_581", "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 276.64 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.6373134640211, "fos_buckling": 1.0906829520116381, "fos_yielding": 1.7426197544366977, "deflection": 0.006045219636637573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.572)" }, "parent_node_id": "node_580", "improvement_over_parent": null }, "node_582": { "node_id": "node_582", "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 286.01 kg\n Factor of Safety: 1.31\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.00724141859126, "fos_buckling": 1.3071738396385555, "fos_yielding": 1.7424863404680264, "deflection": 0.005684184334256023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.292)" }, "parent_node_id": "node_581", "improvement_over_parent": null }, "node_583": { "node_id": "node_583", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 310.35 kg\n Factor of Safety: 1.33\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 310.34836942396817, "fos_buckling": 1.3252895440124723, "fos_yielding": 1.7404417832214698, "deflection": 0.005019055970366456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_582", "improvement_over_parent": null }, "node_584": { "node_id": "node_584", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_583", "improvement_over_parent": null }, "node_585": { "node_id": "node_585", "content": "INITIAL DESIGN (Trace 84)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 227.22 kg\n Factor of Safety: 0.47\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.22419635526666, "fos_buckling": 0.47016435560037934, "fos_yielding": 1.5831792794909605, "deflection": 0.008230803534565151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_586": { "node_id": "node_586", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 232.88 kg\n Factor of Safety: 0.47\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.87791124934364, "fos_buckling": 0.4695796900205269, "fos_yielding": 1.5827321670185222, "deflection": 0.007872917198328631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.346)" }, "parent_node_id": "node_585", "improvement_over_parent": null }, "node_587": { "node_id": "node_587", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 0.47\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.49146648688097, "fos_buckling": 0.4694209081838455, "fos_yielding": 1.5826105928461145, "deflection": 0.007802113149889523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.188)" }, "parent_node_id": "node_586", "improvement_over_parent": null }, "node_588": { "node_id": "node_588", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 259.55 kg\n Factor of Safety: 1.33\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.5506227583156, "fos_buckling": 1.3330723322363844, "fos_yielding": 1.8725186064112158, "deflection": 0.0060056321423394374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004257)" }, "parent_node_id": "node_587", "improvement_over_parent": null }, "node_589": { "node_id": "node_589", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.49857057550065, "fos_buckling": 1.5148467483428902, "fos_yielding": 2.1873898440376935, "deflection": 0.005153194088638858, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_588", "improvement_over_parent": null }, "node_590": { "node_id": "node_590", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_589", "improvement_over_parent": null }, "node_591": { "node_id": "node_591", "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 155.44 kg\n Factor of Safety: 0.52\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.44333182309103, "fos_buckling": 0.5213525453144299, "fos_yielding": 1.2169753589355148, "deflection": 0.010879621078749594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_592": { "node_id": "node_592", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 202.49 kg\n Factor of Safety: 0.67\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.49429942290558, "fos_buckling": 0.6690074952241987, "fos_yielding": 1.592933181310405, "deflection": 0.008373021839385798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_591", "improvement_over_parent": null }, "node_593": { "node_id": "node_593", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 220.41 kg\n Factor of Safety: 0.84\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.41183307806077, "fos_buckling": 0.8419846936399806, "fos_yielding": 1.6034827814742916, "deflection": 0.007071058912808188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003615)" }, "parent_node_id": "node_592", "improvement_over_parent": null }, "node_594": { "node_id": "node_594", "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 223.62 kg\n Factor of Safety: 0.94\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.62040191431856, "fos_buckling": 0.9352115275828687, "fos_yielding": 1.6031457828381122, "deflection": 0.006991901948720668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.522)" }, "parent_node_id": "node_593", "improvement_over_parent": null }, "node_595": { "node_id": "node_595", "content": "MODIFICATION: Increase 15 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 234.14 kg\n Factor of Safety: 0.94\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.14380456653066, "fos_buckling": 0.9429086801304285, "fos_yielding": 1.5989129565012596, "deflection": 0.006861926547378243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.661)" }, "parent_node_id": "node_594", "improvement_over_parent": null }, "node_596": { "node_id": "node_596", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 235.59 kg\n Factor of Safety: 0.94\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.59095356887963, "fos_buckling": 0.9384319375797464, "fos_yielding": 1.582771843309081, "deflection": 0.0067675592996975275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.543)" }, "parent_node_id": "node_595", "improvement_over_parent": null }, "node_597": { "node_id": "node_597", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n Mass: 236.93 kg\n Factor of Safety: 0.94\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.92554649777304, "fos_buckling": 0.9387703175575419, "fos_yielding": 1.6529807746944556, "deflection": 0.00670742887096478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.238)" }, "parent_node_id": "node_596", "improvement_over_parent": null }, "node_598": { "node_id": "node_598", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0080)]\n\nPerformance:\n Mass: 306.62 kg\n Factor of Safety: 1.18\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.6227024934993, "fos_buckling": 1.1846462737354122, "fos_yielding": 2.1397070748049476, "deflection": 0.005204490640170116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_597", "improvement_over_parent": null }, "node_599": { "node_id": "node_599", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_598", "improvement_over_parent": null }, "node_600": { "node_id": "node_600", "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 241.28 kg\n Factor of Safety: 0.49\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.27890504116652, "fos_buckling": 0.4936884687030533, "fos_yielding": 1.677027339348673, "deflection": 0.009997728196733169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_601": { "node_id": "node_601", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 259.31 kg\n Factor of Safety: 0.49\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.31067172639627, "fos_buckling": 0.4933577803063048, "fos_yielding": 1.676519577895061, "deflection": 0.009610358935222114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_600", "improvement_over_parent": null }, "node_602": { "node_id": "node_602", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 295.69 kg\n Factor of Safety: 1.31\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.6930691818754, "fos_buckling": 1.3067237300518384, "fos_yielding": 1.7117194627208423, "deflection": 0.00525772677556108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_601", "improvement_over_parent": null }, "node_603": { "node_id": "node_603", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0067)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.13 kg\n Factor of Safety: 1.32\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.1312065128121, "fos_buckling": 1.3185577392934498, "fos_yielding": 1.7272212122299608, "deflection": 0.005196140525927081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.328)" }, "parent_node_id": "node_602", "improvement_over_parent": null }, "node_604": { "node_id": "node_604", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0067)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.52 kg\n Factor of Safety: 1.38\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.5168940595952, "fos_buckling": 1.3825599535286401, "fos_yielding": 2.2088993652943514, "deflection": 0.0051570496547127575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.319)" }, "parent_node_id": "node_603", "improvement_over_parent": null }, "node_605": { "node_id": "node_605", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_604", "improvement_over_parent": null }, "node_606": { "node_id": "node_606", "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 141.57 kg\n Factor of Safety: 0.54\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.57439851508315, "fos_buckling": 0.5372002373534972, "fos_yielding": 1.1860056460690909, "deflection": 0.01185932844385549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_607": { "node_id": "node_607", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 181.39 kg\n Factor of Safety: 0.67\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.39209669506346, "fos_buckling": 0.6705524918546144, "fos_yielding": 1.5181054751267218, "deflection": 0.00928432823483532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_606", "improvement_over_parent": null }, "node_608": { "node_id": "node_608", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 191.43 kg\n Factor of Safety: 0.81\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.42852368366857, "fos_buckling": 0.8115823630140215, "fos_yielding": 1.535961850335084, "deflection": 0.008587588617485329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002112)" }, "parent_node_id": "node_607", "improvement_over_parent": null }, "node_609": { "node_id": "node_609", "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n\nPerformance:\n Mass: 198.04 kg\n Factor of Safety: 0.81\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.04353081578017, "fos_buckling": 0.8109814498765388, "fos_yielding": 1.5338273079606364, "deflection": 0.008488976540905184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.445)" }, "parent_node_id": "node_608", "improvement_over_parent": null }, "node_610": { "node_id": "node_610", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 226.88 kg\n Factor of Safety: 0.91\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.88491658138065, "fos_buckling": 0.9112089201197643, "fos_yielding": 1.7566937479751834, "deflection": 0.007425039810937599, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_609", "improvement_over_parent": null }, "node_611": { "node_id": "node_611", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 246.45 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.45252217961598, "fos_buckling": 1.2701758593059314, "fos_yielding": 1.7545636506527793, "deflection": 0.006349158872291575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003868)" }, "parent_node_id": "node_610", "improvement_over_parent": null }, "node_612": { "node_id": "node_612", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 306.18 kg\n Factor of Safety: 1.52\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 306.17682605019627, "fos_buckling": 1.5193598809283564, "fos_yielding": 2.178444921954078, "deflection": 0.005132008184312315, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_611", "improvement_over_parent": null }, "node_613": { "node_id": "node_613", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_612", "improvement_over_parent": null }, "node_614": { "node_id": "node_614", "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 234.17 kg\n Factor of Safety: 1.18\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.1710041834829, "fos_buckling": 1.1779789886648087, "fos_yielding": 1.7550069346215809, "deflection": 0.00653676926877616, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_615": { "node_id": "node_615", "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.18 kg\n Factor of Safety: 1.20\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.17773201838466, "fos_buckling": 1.2020141873558454, "fos_yielding": 1.757901768808633, "deflection": 0.006454476803685043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.631)" }, "parent_node_id": "node_614", "improvement_over_parent": null }, "node_616": { "node_id": "node_616", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.82 kg\n Factor of Safety: 1.45\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.8213872465476, "fos_buckling": 1.4535422844542496, "fos_yielding": 2.198305796687223, "deflection": 0.005177641700961567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_615", "improvement_over_parent": null }, "node_617": { "node_id": "node_617", "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.45181842920147, "fos_buckling": 1.5142311370421249, "fos_yielding": 2.187214793854107, "deflection": 0.005154098807279167, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.287)" }, "parent_node_id": "node_616", "improvement_over_parent": null }, "node_618": { "node_id": "node_618", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_617", "improvement_over_parent": null }, "node_619": { "node_id": "node_619", "content": "INITIAL DESIGN (Trace 89)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.32\n Max Deflection: 1.80e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.20912277884585, "fos_buckling": 0.3232866163554815, "fos_yielding": 1.021948771422586, "deflection": 0.018009032084993982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_620": { "node_id": "node_620", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 184.36 kg\n Factor of Safety: 0.40\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.35927880329004, "fos_buckling": 0.3956497261797133, "fos_yielding": 1.2863039069157594, "deflection": 0.014315939361169613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_619", "improvement_over_parent": null }, "node_621": { "node_id": "node_621", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 0.44\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.23643855191048, "fos_buckling": 0.43845417312041823, "fos_yielding": 1.4512696694824994, "deflection": 0.012692998307393828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_620", "improvement_over_parent": null }, "node_622": { "node_id": "node_622", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 240.88 kg\n Factor of Safety: 0.49\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.87991639491938, "fos_buckling": 0.4938994947333321, "fos_yielding": 1.6761921810474287, "deflection": 0.010994792510977312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_621", "improvement_over_parent": null }, "node_623": { "node_id": "node_623", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 243.64 kg\n Factor of Safety: 0.49\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.6422347299178, "fos_buckling": 0.4938487180512493, "fos_yielding": 1.676114367989387, "deflection": 0.010833658542137742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.199)" }, "parent_node_id": "node_622", "improvement_over_parent": null }, "node_624": { "node_id": "node_624", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 263.96 kg\n Factor of Safety: 0.49\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.9555696119446, "fos_buckling": 0.49273117430005375, "fos_yielding": 1.6743995559262728, "deflection": 0.009636064994452154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_623", "improvement_over_parent": null }, "node_625": { "node_id": "node_625", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.34 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.33796706742373, "fos_buckling": 1.2295048927009111, "fos_yielding": 2.1197887973010254, "deflection": 0.005230570712407555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_624", "improvement_over_parent": null }, "node_626": { "node_id": "node_626", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.14 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.14222304656425, "fos_buckling": 1.5137823242158182, "fos_yielding": 2.1845888594746645, "deflection": 0.005159202444308522, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_625", "improvement_over_parent": null }, "node_627": { "node_id": "node_627", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_626", "improvement_over_parent": null }, "node_628": { "node_id": "node_628", "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 230.65 kg\n Factor of Safety: 0.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.65259628424195, "fos_buckling": 0.4945694615248184, "fos_yielding": 1.4705955997564486, "deflection": 0.011225052057755154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_629": { "node_id": "node_629", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 233.46 kg\n Factor of Safety: 0.49\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.45685226338247, "fos_buckling": 0.4944661907915236, "fos_yielding": 1.4513981947183612, "deflection": 0.010861074174482458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_628", "improvement_over_parent": null }, "node_630": { "node_id": "node_630", "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 240.13 kg\n Factor of Safety: 0.49\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.13199687444592, "fos_buckling": 0.49434333611937936, "fos_yielding": 1.470595599756447, "deflection": 0.010720666926425418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.639)" }, "parent_node_id": "node_629", "improvement_over_parent": null }, "node_631": { "node_id": "node_631", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 263.36 kg\n Factor of Safety: 0.49\n Max Deflection: 9.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.3555172555939, "fos_buckling": 0.49306469809765874, "fos_yielding": 1.4489690970479419, "deflection": 0.009566118037141044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_630", "improvement_over_parent": null }, "node_632": { "node_id": "node_632", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.74 kg\n Factor of Safety: 1.13\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.737914711073, "fos_buckling": 1.132194437419738, "fos_yielding": 1.4526243879777434, "deflection": 0.005232193612035184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_631", "improvement_over_parent": null }, "node_633": { "node_id": "node_633", "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0077)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 311.83 kg\n Factor of Safety: 1.13\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 311.8285880421038, "fos_buckling": 1.1319529798785328, "fos_yielding": 1.4523145939163846, "deflection": 0.0051440705646232585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.580)" }, "parent_node_id": "node_632", "improvement_over_parent": null }, "node_634": { "node_id": "node_634", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_633", "improvement_over_parent": null }, "node_635": { "node_id": "node_635", "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 171.84 kg\n Factor of Safety: 0.64\n Max Deflection: 4.98e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.84122259321452, "fos_buckling": 0.64429205587487, "fos_yielding": 1.2790864380623748, "deflection": 4976049420568.079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_636": { "node_id": "node_636", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 185.86 kg\n Factor of Safety: 0.40\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.8608059397691, "fos_buckling": 0.40078363300301195, "fos_yielding": 1.005597387586508, "deflection": 0.014062529749391572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003212)" }, "parent_node_id": "node_635", "improvement_over_parent": null }, "node_637": { "node_id": "node_637", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 187.57 kg\n Factor of Safety: 0.40\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.56685052692623, "fos_buckling": 0.40078363300301156, "fos_yielding": 1.3067818904323218, "deflection": 0.013707737854253145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.321)" }, "parent_node_id": "node_636", "improvement_over_parent": null }, "node_638": { "node_id": "node_638", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 215.85 kg\n Factor of Safety: 0.43\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.8499472357726, "fos_buckling": 0.43379818270014325, "fos_yielding": 1.4397222591407024, "deflection": 0.008563296948292934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004562)" }, "parent_node_id": "node_637", "improvement_over_parent": null }, "node_639": { "node_id": "node_639", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 235.90 kg\n Factor of Safety: 1.23\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.90046378509575, "fos_buckling": 1.229577622061143, "fos_yielding": 1.7029630106869789, "deflection": 0.006596032518399026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003841)" }, "parent_node_id": "node_638", "improvement_over_parent": null }, "node_640": { "node_id": "node_640", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38331097935855, "fos_buckling": 1.5138380872152677, "fos_yielding": 2.186753039254811, "deflection": 0.005155272715363326, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_639", "improvement_over_parent": null }, "node_641": { "node_id": "node_641", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_640", "improvement_over_parent": null }, "node_642": { "node_id": "node_642", "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.28 kg\n Factor of Safety: 0.80\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.28126333409256, "fos_buckling": 0.798287297486276, "fos_yielding": 1.6638118436475722, "deflection": 0.0082298975487683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_643": { "node_id": "node_643", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 230.04 kg\n Factor of Safety: 0.90\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.0440288590274, "fos_buckling": 0.9045366804293553, "fos_yielding": 1.9296211937138716, "deflection": 0.0071113463767478935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_642", "improvement_over_parent": null }, "node_644": { "node_id": "node_644", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 240.27 kg\n Factor of Safety: 1.26\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.26999840780522, "fos_buckling": 1.264348412239348, "fos_yielding": 1.766149843163787, "deflection": 0.006602107475222801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003007)" }, "parent_node_id": "node_643", "improvement_over_parent": null }, "node_645": { "node_id": "node_645", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 298.14 kg\n Factor of Safety: 1.51\n Max Deflection: 5.34e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.1361974096429, "fos_buckling": 1.5100125133464606, "fos_yielding": 2.1879340379127905, "deflection": 0.005341830725320166, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_644", "improvement_over_parent": null }, "node_646": { "node_id": "node_646", "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.13 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1348579222236, "fos_buckling": 1.5129115993474325, "fos_yielding": 2.184829967870541, "deflection": 0.0051594183398176756, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.247)" }, "parent_node_id": "node_645", "improvement_over_parent": null }, "node_647": { "node_id": "node_647", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_646", "improvement_over_parent": null }, "node_648": { "node_id": "node_648", "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 183.49 kg\n Factor of Safety: 0.95\n Max Deflection: 6.12e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.4869419124475, "fos_buckling": 0.9510207248188339, "fos_yielding": 1.7712349982970945, "deflection": 6115059119299.021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_649": { "node_id": "node_649", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 199.72 kg\n Factor of Safety: 0.24\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.7196294136762, "fos_buckling": 0.2398343603648458, "fos_yielding": 1.1888567615515349, "deflection": 20532720690020.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003511)" }, "parent_node_id": "node_648", "improvement_over_parent": null }, "node_650": { "node_id": "node_650", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 249.93 kg\n Factor of Safety: 0.92\n Max Deflection: 3.89e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.9274645338103, "fos_buckling": 0.917771448990394, "fos_yielding": 2.1354135857170626, "deflection": 3894523189997.462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_649", "improvement_over_parent": null }, "node_651": { "node_id": "node_651", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.05 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.0454197653848, "fos_buckling": 0.4930420237966039, "fos_yielding": 1.6761583195828642, "deflection": 0.009486392699958284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_650", "improvement_over_parent": null }, "node_652": { "node_id": "node_652", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4278172208639, "fos_buckling": 1.5140891093030497, "fos_yielding": 2.1870551669759224, "deflection": 0.005154497485515063, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_651", "improvement_over_parent": null }, "node_653": { "node_id": "node_653", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_652", "improvement_over_parent": null }, "node_654": { "node_id": "node_654", "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0008)]\n\nPerformance:\n Mass: 148.49 kg\n Factor of Safety: 0.33\n Max Deflection: 1.72e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.48653855583166, "fos_buckling": 0.3259147791943048, "fos_yielding": 0.7271969046585248, "deflection": 0.017220482427261378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_655": { "node_id": "node_655", "content": "MODIFICATION: Increase 14 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0014)]\n\nPerformance:\n Mass: 150.91 kg\n Factor of Safety: 0.33\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.90959309024225, "fos_buckling": 0.3257976393824139, "fos_yielding": 1.0350543219247117, "deflection": 0.013864289614161435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.661)" }, "parent_node_id": "node_654", "improvement_over_parent": null }, "node_656": { "node_id": "node_656", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0014)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 165.29 kg\n Factor of Safety: 0.90\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.2873841973948, "fos_buckling": 0.9006977679655465, "fos_yielding": 1.239033217106975, "deflection": 0.009263690505701186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002700)" }, "parent_node_id": "node_655", "improvement_over_parent": null }, "node_657": { "node_id": "node_657", "content": "MODIFICATION: Increase 14 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 169.15 kg\n Factor of Safety: 0.92\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.14563533144369, "fos_buckling": 0.9192490161814459, "fos_yielding": 1.2229198243372512, "deflection": 0.009152251517871017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.653)" }, "parent_node_id": "node_656", "improvement_over_parent": null }, "node_658": { "node_id": "node_658", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 189.02 kg\n Factor of Safety: 1.01\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.01991673872766, "fos_buckling": 1.0147312973219518, "fos_yielding": 1.3659900417400757, "deflection": 0.008202439445520238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_657", "improvement_over_parent": null }, "node_659": { "node_id": "node_659", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.93 kg\n Factor of Safety: 1.25\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.93302954889901, "fos_buckling": 1.2474988563862635, "fos_yielding": 1.731909382500524, "deflection": 0.006487113529278662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_658", "improvement_over_parent": null }, "node_660": { "node_id": "node_660", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.38 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.37615420293537, "fos_buckling": 1.3659476680973297, "fos_yielding": 1.928794331242735, "deflection": 0.005833478320637875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_659", "improvement_over_parent": null }, "node_661": { "node_id": "node_661", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 304.11 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 304.11298000428957, "fos_buckling": 1.5168715429464805, "fos_yielding": 2.1919695423669197, "deflection": 0.005143145415585861, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_660", "improvement_over_parent": null }, "node_662": { "node_id": "node_662", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_661", "improvement_over_parent": null }, "node_663": { "node_id": "node_663", "content": "INITIAL DESIGN (Trace 95)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 142.61 kg\n Factor of Safety: 0.63\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.61206338984172, "fos_buckling": 0.6270044454132055, "fos_yielding": 1.1484839691786801, "deflection": 0.011808370466400046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_664": { "node_id": "node_664", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 180.63 kg\n Factor of Safety: 0.77\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.62634330617726, "fos_buckling": 0.7734075142460641, "fos_yielding": 1.452958071360595, "deflection": 0.009349398782409847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_663", "improvement_over_parent": null }, "node_665": { "node_id": "node_665", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 185.09 kg\n Factor of Safety: 0.77\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.08953244474725, "fos_buckling": 0.7730207402554002, "fos_yielding": 1.455553486379323, "deflection": 0.008981199146086928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.368)" }, "parent_node_id": "node_664", "improvement_over_parent": null }, "node_666": { "node_id": "node_666", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 201.23 kg\n Factor of Safety: 1.07\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.2329779731411, "fos_buckling": 1.0720670123287908, "fos_yielding": 1.453778424390174, "deflection": 0.0077117323356372764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003150)" }, "parent_node_id": "node_665", "improvement_over_parent": null }, "node_667": { "node_id": "node_667", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 251.48 kg\n Factor of Safety: 1.30\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.4796646545718, "fos_buckling": 1.2978752742681645, "fos_yielding": 1.814697153765196, "deflection": 0.00619463326581575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_666", "improvement_over_parent": null }, "node_668": { "node_id": "node_668", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.46086244134176, "fos_buckling": 1.5142050709679136, "fos_yielding": 2.1872056803856506, "deflection": 0.005153876600859151, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_667", "improvement_over_parent": null }, "node_669": { "node_id": "node_669", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_668", "improvement_over_parent": null }, "node_670": { "node_id": "node_670", "content": "INITIAL DESIGN (Trace 96)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 144.03 kg\n Factor of Safety: 0.29\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.03467892201022, "fos_buckling": 0.29346760792876003, "fos_yielding": 0.9184581157054478, "deflection": 0.017509484721308876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_671": { "node_id": "node_671", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 145.56 kg\n Factor of Safety: 0.29\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.56282299334174, "fos_buckling": 0.2934340103549086, "fos_yielding": 0.9184107482930253, "deflection": 0.017253953429669077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001232)" }, "parent_node_id": "node_670", "improvement_over_parent": null }, "node_672": { "node_id": "node_672", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 162.83 kg\n Factor of Safety: 0.32\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.82645102526772, "fos_buckling": 0.3242845016603883, "fos_yielding": 1.02657176353003, "deflection": 0.015443560841157961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_671", "improvement_over_parent": null }, "node_673": { "node_id": "node_673", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n\nPerformance:\n Mass: 185.00 kg\n Factor of Safety: 1.00\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.99885080511797, "fos_buckling": 0.9953046506485187, "fos_yielding": 1.3371088613811037, "deflection": 0.008378377135666202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003522)" }, "parent_node_id": "node_672", "improvement_over_parent": null }, "node_674": { "node_id": "node_674", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 234.57 kg\n Factor of Safety: 1.22\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.57461372877543, "fos_buckling": 1.223429714252613, "fos_yielding": 1.6935062145194895, "deflection": 0.006632767920638315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_673", "improvement_over_parent": null }, "node_675": { "node_id": "node_675", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 267.25 kg\n Factor of Safety: 1.37\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.25281658469225, "fos_buckling": 1.3650304451678819, "fos_yielding": 1.9279869610496423, "deflection": 0.00583627382234004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_674", "improvement_over_parent": null }, "node_676": { "node_id": "node_676", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.49448858738333, "fos_buckling": 1.5139843357819571, "fos_yielding": 2.1876284614539934, "deflection": 0.005153522004791449, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_675", "improvement_over_parent": null }, "node_677": { "node_id": "node_677", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_676", "improvement_over_parent": null }, "node_678": { "node_id": "node_678", "content": "INITIAL DESIGN (Trace 97)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_679": { "node_id": "node_679", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 232.66 kg\n Factor of Safety: 0.87\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.65803497442593, "fos_buckling": 0.8732414564722748, "fos_yielding": 2.3963084714071377, "deflection": 0.007629226719346095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_678", "improvement_over_parent": null }, "node_680": { "node_id": "node_680", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.87\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.8820264334342, "fos_buckling": 0.8730823255868652, "fos_yielding": 2.3963084714071377, "deflection": 0.0075823717357578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.309)" }, "parent_node_id": "node_679", "improvement_over_parent": null }, "node_681": { "node_id": "node_681", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.91 kg\n Factor of Safety: 0.87\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.9137931186639, "fos_buckling": 0.8724967488005416, "fos_yielding": 2.23447173288184, "deflection": 0.00731088761802673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_680", "improvement_over_parent": null }, "node_682": { "node_id": "node_682", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 259.12 kg\n Factor of Safety: 0.87\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.1201119278816, "fos_buckling": 0.872029266789148, "fos_yielding": 2.234363458828838, "deflection": 0.007314464703427901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.337)" }, "parent_node_id": "node_681", "improvement_over_parent": null }, "node_683": { "node_id": "node_683", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 261.73 kg\n Factor of Safety: 0.87\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.7300118781109, "fos_buckling": 0.8719446667811163, "fos_yielding": 2.2253170824650637, "deflection": 0.007299020184833587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.284)" }, "parent_node_id": "node_682", "improvement_over_parent": null }, "node_684": { "node_id": "node_684", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 278.85 kg\n Factor of Safety: 1.05\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.8479671096853, "fos_buckling": 1.0475801196232006, "fos_yielding": 2.225047143255168, "deflection": 0.006219337683749644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_683", "improvement_over_parent": null }, "node_685": { "node_id": "node_685", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0066)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 302.07 kg\n Factor of Safety: 1.32\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.0714874908333, "fos_buckling": 1.3219873363504244, "fos_yielding": 2.186397807492005, "deflection": 0.005323356580749724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_684", "improvement_over_parent": null }, "node_686": { "node_id": "node_686", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_685", "improvement_over_parent": null }, "node_687": { "node_id": "node_687", "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 170.62 kg\n Factor of Safety: 0.64\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.62306198597244, "fos_buckling": 0.6391939341320235, "fos_yielding": 1.489702078860631, "deflection": 0.010212931614190686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_688": { "node_id": "node_688", "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.94 kg\n Factor of Safety: 0.74\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.9446905139547, "fos_buckling": 0.7355691878060159, "fos_yielding": 1.4897020788606306, "deflection": 0.010045461808488029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.178)" }, "parent_node_id": "node_687", "improvement_over_parent": null }, "node_689": { "node_id": "node_689", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n Mass: 187.42 kg\n Factor of Safety: 0.83\n Max Deflection: 8.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.4235156927299, "fos_buckling": 0.8320607860079275, "fos_yielding": 1.3265352531501142, "deflection": 0.0083108330214307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002882)" }, "parent_node_id": "node_688", "improvement_over_parent": null }, "node_690": { "node_id": "node_690", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 212.78 kg\n Factor of Safety: 0.93\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.78267022624138, "fos_buckling": 0.9279018744137995, "fos_yielding": 1.5051242125993929, "deflection": 0.007334464924599859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_689", "improvement_over_parent": null }, "node_691": { "node_id": "node_691", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.57 kg\n Factor of Safety: 1.12\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.5652482586348, "fos_buckling": 1.1184459270553118, "fos_yielding": 1.8831790977420024, "deflection": 0.005878533248933122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_690", "improvement_over_parent": null }, "node_692": { "node_id": "node_692", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 301.01 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.00951336957286, "fos_buckling": 1.2315379188835909, "fos_yielding": 2.124798395098315, "deflection": 0.005219401298056838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_691", "improvement_over_parent": null }, "node_693": { "node_id": "node_693", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.81 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.8137693487134, "fos_buckling": 1.5156437075825504, "fos_yielding": 2.1897753806249023, "deflection": 0.005148138818915752, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_692", "improvement_over_parent": null }, "node_694": { "node_id": "node_694", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_693", "improvement_over_parent": null }, "node_695": { "node_id": "node_695", "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 191.08 kg\n Factor of Safety: 0.89\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.0786507956946, "fos_buckling": 0.8880704586169116, "fos_yielding": 1.7561747568018158, "deflection": 0.008726584732425923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_696": { "node_id": "node_696", "content": "MODIFICATION: Increase 12 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 196.20 kg\n Factor of Safety: 0.89\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.20405704288504, "fos_buckling": 0.887900492985373, "fos_yielding": 1.740708695315868, "deflection": 0.008683114981326883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.618)" }, "parent_node_id": "node_695", "improvement_over_parent": null }, "node_697": { "node_id": "node_697", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 252.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.74368042606056, "fos_buckling": 1.0947845617598695, "fos_yielding": 2.2386673681828473, "deflection": 0.006767737575587583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_696", "improvement_over_parent": null }, "node_698": { "node_id": "node_698", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 277.08 kg\n Factor of Safety: 1.14\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.08480843143747, "fos_buckling": 1.1351382870703564, "fos_yielding": 2.2383072629632106, "deflection": 0.006042398835186454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_697", "improvement_over_parent": null }, "node_699": { "node_id": "node_699", "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 280.35 kg\n Factor of Safety: 1.14\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.34555915065795, "fos_buckling": 1.1352444858992334, "fos_yielding": 2.2264350274701625, "deflection": 0.006021868022304683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.379)" }, "parent_node_id": "node_698", "improvement_over_parent": null }, "node_700": { "node_id": "node_700", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5690795318059, "fos_buckling": 1.5147049446699457, "fos_yielding": 2.1883044987999636, "deflection": 0.005151928664746794, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_699", "improvement_over_parent": null }, "node_701": { "node_id": "node_701", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_700", "improvement_over_parent": null }, "node_702": { "node_id": "node_702", "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 0.37\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.24976390796826, "fos_buckling": 0.3681881697936623, "fos_yielding": 1.1780620630905698, "deflection": 0.01099086451635474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_703": { "node_id": "node_703", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 219.41 kg\n Factor of Safety: 0.46\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.40995404585448, "fos_buckling": 0.4599794499706541, "fos_yielding": 1.5241500476833645, "deflection": 0.008504626749616015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_702", "improvement_over_parent": null }, "node_704": { "node_id": "node_704", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 267.75 kg\n Factor of Safety: 0.54\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.7493328684353, "fos_buckling": 0.5411338315300145, "fos_yielding": 1.85627767076847, "deflection": 0.006990015008585992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_703", "improvement_over_parent": null }, "node_705": { "node_id": "node_705", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 288.06 kg\n Factor of Safety: 1.14\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.06266775046214, "fos_buckling": 1.136251446151412, "fos_yielding": 2.1045220664303086, "deflection": 0.005702178298958931, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_704", "improvement_over_parent": null }, "node_706": { "node_id": "node_706", "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 294.40 kg\n Factor of Safety: 1.14\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.39694913282955, "fos_buckling": 1.1414687461414745, "fos_yielding": 2.1056924146821516, "deflection": 0.005488230445331177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.361)" }, "parent_node_id": "node_705", "improvement_over_parent": null }, "node_707": { "node_id": "node_707", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 300.93 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.9275742875049, "fos_buckling": 1.2309982585042114, "fos_yielding": 2.124405111671101, "deflection": 0.005220628234254728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.366)" }, "parent_node_id": "node_706", "improvement_over_parent": null }, "node_708": { "node_id": "node_708", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.73183026664543, "fos_buckling": 1.5155114298541605, "fos_yielding": 2.1894129741069004, "deflection": 0.005149253624228682, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_707", "improvement_over_parent": null }, "node_709": { "node_id": "node_709", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_708", "improvement_over_parent": null }, "node_710": { "node_id": "node_710", "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 220.63 kg\n Factor of Safety: 0.23\n Max Deflection: 5.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.62956553520925, "fos_buckling": 0.2308618674793336, "fos_yielding": 1.1888567615515349, "deflection": 5199796744294.912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_711": { "node_id": "node_711", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 243.85 kg\n Factor of Safety: 0.05\n Max Deflection: 7.22e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.85308591635723, "fos_buckling": 0.04525327643024205, "fos_yielding": 0.2935938209869043, "deflection": 72203288094809.94, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_710", "improvement_over_parent": null }, "node_712": { "node_id": "node_712", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 256.54 kg\n Factor of Safety: 0.53\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.5414571748458, "fos_buckling": 0.5329991855703495, "fos_yielding": 1.848249471332499, "deflection": 0.007397419725191051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_711", "improvement_over_parent": null }, "node_713": { "node_id": "node_713", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 273.66 kg\n Factor of Safety: 0.53\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.65941240642024, "fos_buckling": 0.532333527337893, "fos_yielding": 1.847723417769084, "deflection": 0.006797367685681422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_712", "improvement_over_parent": null }, "node_714": { "node_id": "node_714", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.45 kg\n Factor of Safety: 1.42\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.4500399488342, "fos_buckling": 1.4151001261314826, "fos_yielding": 2.184992211286664, "deflection": 0.005276832956172601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_713", "improvement_over_parent": null }, "node_715": { "node_id": "node_715", "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0052)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.11 kg\n Factor of Safety: 1.42\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.112850007505, "fos_buckling": 1.416445900290734, "fos_yielding": 2.1849062901182723, "deflection": 0.00524540067742133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.196)" }, "parent_node_id": "node_714", "improvement_over_parent": null }, "node_716": { "node_id": "node_716", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_715", "improvement_over_parent": null }, "node_717": { "node_id": "node_717", "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 0.30\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.6447758965239, "fos_buckling": 0.2963472109887468, "fos_yielding": 0.9383685016848277, "deflection": 0.014954238659920342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_718": { "node_id": "node_718", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 221.56 kg\n Factor of Safety: 0.97\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.56108355073172, "fos_buckling": 0.9712790493023477, "fos_yielding": 1.722039007771929, "deflection": 0.007087400007670587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004288)" }, "parent_node_id": "node_717", "improvement_over_parent": null }, "node_719": { "node_id": "node_719", "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 224.10 kg\n Factor of Safety: 0.98\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.10259560405302, "fos_buckling": 0.9845647122138542, "fos_yielding": 1.9207110242216752, "deflection": 0.007037376923649622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.330)" }, "parent_node_id": "node_718", "improvement_over_parent": null }, "node_720": { "node_id": "node_720", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 232.67 kg\n Factor of Safety: 1.01\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.66630537485653, "fos_buckling": 1.009327271026564, "fos_yielding": 1.8826678934860794, "deflection": 0.006897089515801531, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_719", "improvement_over_parent": null }, "node_721": { "node_id": "node_721", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 290.23 kg\n Factor of Safety: 1.23\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.2332736721721, "fos_buckling": 1.2299253266537888, "fos_yielding": 2.347102570941361, "deflection": 0.005545440928376525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_720", "improvement_over_parent": null }, "node_722": { "node_id": "node_722", "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0090)]\n\nPerformance:\n Mass: 304.65 kg\n Factor of Safety: 1.21\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.65111860806127, "fos_buckling": 1.2096455637921506, "fos_yielding": 2.3498004674259207, "deflection": 0.005281473149852233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.650)" }, "parent_node_id": "node_721", "improvement_over_parent": null }, "node_723": { "node_id": "node_723", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0090)]\n\nPerformance:\n Mass: 309.67 kg\n Factor of Safety: 1.24\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 309.669051102612, "fos_buckling": 1.2355938458467255, "fos_yielding": 2.349451603691648, "deflection": 0.005242182329568321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.316)" }, "parent_node_id": "node_722", "improvement_over_parent": null }, "node_724": { "node_id": "node_724", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_723", "improvement_over_parent": null }, "node_725": { "node_id": "node_725", "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.07\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.3643848707905, "fos_buckling": 1.0687876789730573, "fos_yielding": 1.7457658978324662, "deflection": 0.0069476622821115835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_726": { "node_id": "node_726", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 237.52 kg\n Factor of Safety: 1.25\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.52345294372998, "fos_buckling": 1.251949369305037, "fos_yielding": 1.7459190362182668, "deflection": 0.006675760932042565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.290)" }, "parent_node_id": "node_725", "improvement_over_parent": null }, "node_727": { "node_id": "node_727", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 241.54 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.53819869328788, "fos_buckling": 1.2544871717209458, "fos_yielding": 1.7434741212838925, "deflection": 0.0064450108557631705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.244)" }, "parent_node_id": "node_726", "improvement_over_parent": null }, "node_728": { "node_id": "node_728", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.14680970095566, "fos_buckling": 1.5129316145289025, "fos_yielding": 2.1851050387800237, "deflection": 0.0051593292884978565, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_727", "improvement_over_parent": null }, "node_729": { "node_id": "node_729", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_728", "improvement_over_parent": null }, "node_730": { "node_id": "node_730", "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 262.40 kg\n Factor of Safety: 0.91\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.4028194496927, "fos_buckling": 0.9066731287263554, "fos_yielding": 2.1791086157804127, "deflection": 0.006596957751291343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_731": { "node_id": "node_731", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 279.52 kg\n Factor of Safety: 0.91\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.52077468126714, "fos_buckling": 0.9055010881090343, "fos_yielding": 2.178796397529643, "deflection": 0.005643192826089703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_730", "improvement_over_parent": null }, "node_732": { "node_id": "node_732", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.09 kg\n Factor of Safety: 0.91\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.0896148118898, "fos_buckling": 0.9055010881090343, "fos_yielding": 2.1787963975296427, "deflection": 0.005582130642282255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.431)" }, "parent_node_id": "node_731", "improvement_over_parent": null }, "node_733": { "node_id": "node_733", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.37\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.40294969391664, "fos_buckling": 1.370127156930341, "fos_yielding": 2.2029878797309963, "deflection": 0.005131558361306774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_732", "improvement_over_parent": null }, "node_734": { "node_id": "node_734", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_733", "improvement_over_parent": null }, "node_735": { "node_id": "node_735", "content": "INITIAL DESIGN (Trace 105)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 200.38 kg\n Factor of Safety: 0.48\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.38385043449435, "fos_buckling": 0.4760151164143559, "fos_yielding": 1.656524499656319, "deflection": 12955579228340.18, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_736": { "node_id": "node_736", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 218.88 kg\n Factor of Safety: 0.44\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.88252726177146, "fos_buckling": 0.4428860056471931, "fos_yielding": 1.4747399488172197, "deflection": 0.010897004098836434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003741)" }, "parent_node_id": "node_735", "improvement_over_parent": null }, "node_737": { "node_id": "node_737", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.42 kg\n Factor of Safety: 1.02\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.4236455214081, "fos_buckling": 1.0243732454907375, "fos_yielding": 1.6925348695240376, "deflection": 0.006531436967516508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003942)" }, "parent_node_id": "node_736", "improvement_over_parent": null }, "node_738": { "node_id": "node_738", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.49 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.4895403431696, "fos_buckling": 1.229811506127406, "fos_yielding": 2.121182331674055, "deflection": 0.005228164511215777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_737", "improvement_over_parent": null }, "node_739": { "node_id": "node_739", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.29379632231013, "fos_buckling": 1.513580465591485, "fos_yielding": 2.186060688909228, "deflection": 0.005156770410594255, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_738", "improvement_over_parent": null }, "node_740": { "node_id": "node_740", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_739", "improvement_over_parent": null }, "node_741": { "node_id": "node_741", "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 159.36 kg\n Factor of Safety: 0.24\n Max Deflection: 1.72e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.36242860452708, "fos_buckling": 0.24297009220474539, "fos_yielding": 1.1291450888046926, "deflection": 17226544988794.203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_742": { "node_id": "node_742", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 177.65 kg\n Factor of Safety: 0.68\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.65392940627714, "fos_buckling": 0.6762546560833821, "fos_yielding": 1.1291450888046926, "deflection": 0.009060065637653306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003482)" }, "parent_node_id": "node_741", "improvement_over_parent": null }, "node_743": { "node_id": "node_743", "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 185.44 kg\n Factor of Safety: 0.68\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.438735398019, "fos_buckling": 0.6758570767835976, "fos_yielding": 1.1291450888046926, "deflection": 0.0086111373926758, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.460)" }, "parent_node_id": "node_742", "improvement_over_parent": null }, "node_744": { "node_id": "node_744", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 223.57 kg\n Factor of Safety: 0.79\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.56869935416174, "fos_buckling": 0.793920816698912, "fos_yielding": 1.3676647468643652, "deflection": 0.007164935664299827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_743", "improvement_over_parent": null }, "node_745": { "node_id": "node_745", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 240.93 kg\n Factor of Safety: 0.95\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.93451796291674, "fos_buckling": 0.9498517081753213, "fos_yielding": 1.3676647468643652, "deflection": 0.0065025679784229875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003776)" }, "parent_node_id": "node_744", "improvement_over_parent": null }, "node_746": { "node_id": "node_746", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 281.77 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.7706813311504, "fos_buckling": 1.0763961393258374, "fos_yielding": 1.6073098136154202, "deflection": 0.005580385006299997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_745", "improvement_over_parent": null }, "node_747": { "node_id": "node_747", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 299.80 kg\n Factor of Safety: 1.16\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.80244801638014, "fos_buckling": 1.1568290887565849, "fos_yielding": 1.4885047615474187, "deflection": 0.005228853796611596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_746", "improvement_over_parent": null }, "node_748": { "node_id": "node_748", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2885298297175, "fos_buckling": 1.5130823888089853, "fos_yielding": 2.1863982279685854, "deflection": 0.005157064684368079, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.538)" }, "parent_node_id": "node_747", "improvement_over_parent": null }, "node_749": { "node_id": "node_749", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_748", "improvement_over_parent": null }, "node_750": { "node_id": "node_750", "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 174.14 kg\n Factor of Safety: 0.74\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.14330097917784, "fos_buckling": 0.739416656656321, "fos_yielding": 1.347746926123864, "deflection": 0.009518509671005928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_751": { "node_id": "node_751", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 175.91 kg\n Factor of Safety: 0.74\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.91106185705436, "fos_buckling": 0.73931895107277, "fos_yielding": 1.3837253389230082, "deflection": 0.00944292202263327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001436)" }, "parent_node_id": "node_750", "improvement_over_parent": null }, "node_752": { "node_id": "node_752", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 191.25 kg\n Factor of Safety: 1.03\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.25421345763135, "fos_buckling": 1.0252883794267122, "fos_yielding": 1.3820476977074052, "deflection": 0.008108053794313461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002985)" }, "parent_node_id": "node_751", "improvement_over_parent": null }, "node_753": { "node_id": "node_753", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n\nPerformance:\n Mass: 216.04 kg\n Factor of Safety: 1.14\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.04238590483152, "fos_buckling": 1.1403720893659486, "fos_yielding": 1.5602894325574028, "deflection": 0.0071913857941200724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_752", "improvement_over_parent": null }, "node_754": { "node_id": "node_754", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 273.55 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.5484375474176, "fos_buckling": 1.3918964088843555, "fos_yielding": 1.9730164280507694, "deflection": 0.005704567545898153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_753", "improvement_over_parent": null }, "node_755": { "node_id": "node_755", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4188335488681, "fos_buckling": 1.514081115158249, "fos_yielding": 2.1869726435538985, "deflection": 0.005154670053270071, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_754", "improvement_over_parent": null }, "node_756": { "node_id": "node_756", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_755", "improvement_over_parent": null }, "node_757": { "node_id": "node_757", "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 219.91 kg\n Factor of Safety: 0.48\n Max Deflection: 6.02e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.90624169323564, "fos_buckling": 0.48047879838070084, "fos_yielding": 2.336145678399131, "deflection": 6020061632216.047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_758": { "node_id": "node_758", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 223.84 kg\n Factor of Safety: 1.32\n Max Deflection: 1.69e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.8402881292954, "fos_buckling": 1.319516694004582, "fos_yielding": 1.1888567615515349, "deflection": 16949153383161.74, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.304)" }, "parent_node_id": "node_757", "improvement_over_parent": null }, "node_759": { "node_id": "node_759", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 227.93 kg\n Factor of Safety: 0.62\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.93101277167455, "fos_buckling": 0.619438570286842, "fos_yielding": 1.1888567615515349, "deflection": 10250329165039.447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.522)" }, "parent_node_id": "node_758", "improvement_over_parent": null }, "node_760": { "node_id": "node_760", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 254.02 kg\n Factor of Safety: 0.59\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.0188050544507, "fos_buckling": 0.5894532615436027, "fos_yielding": 1.1888567615515349, "deflection": 13701362076682.477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_759", "improvement_over_parent": null }, "node_761": { "node_id": "node_761", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.05 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.05057173968044, "fos_buckling": 0.5321979523970277, "fos_yielding": 1.8477008983041405, "deflection": 0.007588460668708522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_760", "improvement_over_parent": null }, "node_762": { "node_id": "node_762", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.62477140465666, "fos_buckling": 0.5317654565700732, "fos_yielding": 1.847358465085176, "deflection": 0.006704411592786857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_761", "improvement_over_parent": null }, "node_763": { "node_id": "node_763", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4153989470706, "fos_buckling": 1.5140706281124041, "fos_yielding": 2.1869718139552, "deflection": 0.005154690644769289, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_762", "improvement_over_parent": null }, "node_764": { "node_id": "node_764", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_763", "improvement_over_parent": null }, "node_765": { "node_id": "node_765", "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 199.46 kg\n Factor of Safety: 0.72\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.4640849378448, "fos_buckling": 0.7152899351347274, "fos_yielding": 1.4708972184928477, "deflection": 0.008051780787601883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_766": { "node_id": "node_766", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 234.93 kg\n Factor of Safety: 0.82\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.92565219764356, "fos_buckling": 0.8222301299438941, "fos_yielding": 1.7344038303348916, "deflection": 0.0068504771029716536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_765", "improvement_over_parent": null }, "node_767": { "node_id": "node_767", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 253.00 kg\n Factor of Safety: 1.03\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.99891954085717, "fos_buckling": 1.025011073121993, "fos_yielding": 1.749828810296986, "deflection": 0.006354131263767529, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003943)" }, "parent_node_id": "node_766", "improvement_over_parent": null }, "node_768": { "node_id": "node_768", "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 257.09 kg\n Factor of Safety: 1.03\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.08997779726695, "fos_buckling": 1.025147050262969, "fos_yielding": 1.7495566555650544, "deflection": 0.006299939134795078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.616)" }, "parent_node_id": "node_767", "improvement_over_parent": null }, "node_769": { "node_id": "node_769", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 289.03 kg\n Factor of Safety: 1.14\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.02837488148265, "fos_buckling": 1.139087391214383, "fos_yielding": 1.969153913363874, "deflection": 0.005614288256574091, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_768", "improvement_over_parent": null }, "node_770": { "node_id": "node_770", "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.54 kg\n Factor of Safety: 1.40\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.53707634973995, "fos_buckling": 1.4010534877054297, "fos_yielding": 2.0591242883959975, "deflection": 0.005202784412110029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.575)" }, "parent_node_id": "node_769", "improvement_over_parent": null }, "node_771": { "node_id": "node_771", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.23799708035295, "fos_buckling": 1.513422427801044, "fos_yielding": 2.1855656488547304, "deflection": 0.005157737175303967, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.239)" }, "parent_node_id": "node_770", "improvement_over_parent": null }, "node_772": { "node_id": "node_772", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_771", "improvement_over_parent": null }, "node_773": { "node_id": "node_773", "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 220.58 kg\n Factor of Safety: 0.46\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.57722346559592, "fos_buckling": 0.4557468118115307, "fos_yielding": 1.082011275947319, "deflection": 0.00851976227720543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_774": { "node_id": "node_774", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 271.92 kg\n Factor of Safety: 0.54\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.9208657727758, "fos_buckling": 0.5408757485326813, "fos_yielding": 1.3392322510455343, "deflection": 0.006931869032897623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_773", "improvement_over_parent": null }, "node_775": { "node_id": "node_775", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 292.23 kg\n Factor of Safety: 1.19\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.23420065480263, "fos_buckling": 1.1896583930411064, "fos_yielding": 1.544280570371714, "deflection": 0.005375198027226583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_774", "improvement_over_parent": null }, "node_776": { "node_id": "node_776", "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 297.85 kg\n Factor of Safety: 1.19\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8475631782855, "fos_buckling": 1.1890050155557341, "fos_yielding": 1.5434324292904753, "deflection": 0.005292387409218928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.534)" }, "parent_node_id": "node_775", "improvement_over_parent": null }, "node_777": { "node_id": "node_777", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 300.65 kg\n Factor of Safety: 1.23\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.651819157426, "fos_buckling": 1.2308659463315914, "fos_yielding": 1.5977715760850275, "deflection": 0.005208090819292536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_776", "improvement_over_parent": null }, "node_778": { "node_id": "node_778", "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0085)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 314.03 kg\n Factor of Safety: 1.23\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 314.0264760148969, "fos_buckling": 1.230923537639616, "fos_yielding": 1.5978463346363263, "deflection": 0.004971063879963753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.422)" }, "parent_node_id": "node_777", "improvement_over_parent": null }, "node_779": { "node_id": "node_779", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_778", "improvement_over_parent": null }, "node_780": { "node_id": "node_780", "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 170.75 kg\n Factor of Safety: 0.70\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.75489354775263, "fos_buckling": 0.6969343616594778, "fos_yielding": 1.4234118899703119, "deflection": 0.009337119577964844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_781": { "node_id": "node_781", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.08 kg\n Factor of Safety: 0.81\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.08236815772744, "fos_buckling": 0.8061659817521688, "fos_yielding": 1.6840796489063092, "deflection": 0.007911285282326538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_780", "improvement_over_parent": null }, "node_782": { "node_id": "node_782", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.42 kg\n Factor of Safety: 0.81\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.4174375405882, "fos_buckling": 0.8060864185826001, "fos_yielding": 1.6840796489063092, "deflection": 0.007882732829736507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.218)" }, "parent_node_id": "node_781", "improvement_over_parent": null }, "node_783": { "node_id": "node_783", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.13 kg\n Factor of Safety: 0.96\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.13158347102734, "fos_buckling": 0.9552177847375972, "fos_yielding": 2.063591024401065, "deflection": 0.006456374768020534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_782", "improvement_over_parent": null }, "node_784": { "node_id": "node_784", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 259.06 kg\n Factor of Safety: 1.34\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.05844211180715, "fos_buckling": 1.3401547426265306, "fos_yielding": 1.8931069162170726, "deflection": 0.005988175216370629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003230)" }, "parent_node_id": "node_783", "improvement_over_parent": null }, "node_785": { "node_id": "node_785", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 262.76 kg\n Factor of Safety: 1.34\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.75689792736887, "fos_buckling": 1.3398128389057475, "fos_yielding": 1.903027321491823, "deflection": 0.00594387274946703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.183)" }, "parent_node_id": "node_784", "improvement_over_parent": null }, "node_786": { "node_id": "node_786", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 304.81 kg\n Factor of Safety: 1.51\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 304.8111210881336, "fos_buckling": 1.5127188598809107, "fos_yielding": 2.2056625635101246, "deflection": 0.005139804437124009, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_785", "improvement_over_parent": null }, "node_787": { "node_id": "node_787", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_786", "improvement_over_parent": null }, "node_788": { "node_id": "node_788", "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 235.73 kg\n Factor of Safety: 0.46\n Max Deflection: 5.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.73151198444486, "fos_buckling": 0.4617237349586672, "fos_yielding": 2.0433483179600227, "deflection": 5198042976017.774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_789": { "node_id": "node_789", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 261.82 kg\n Factor of Safety: 1.08\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.819304267221, "fos_buckling": 1.081707008053916, "fos_yielding": 2.395077916031771, "deflection": 0.006390464390736643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_788", "improvement_over_parent": null }, "node_790": { "node_id": "node_790", "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 267.51 kg\n Factor of Safety: 1.08\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.5134405216415, "fos_buckling": 1.081256594209201, "fos_yielding": 2.3950779160317697, "deflection": 0.006316354662622727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.546)" }, "parent_node_id": "node_789", "improvement_over_parent": null }, "node_791": { "node_id": "node_791", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 290.74 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.73696090278946, "fos_buckling": 1.0757757771979046, "fos_yielding": 2.3950779160317706, "deflection": 0.00558017880386398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_790", "improvement_over_parent": null }, "node_792": { "node_id": "node_792", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.42533216127805, "fos_buckling": 1.514164164654577, "fos_yielding": 2.186944993596398, "deflection": 0.005154588188228062, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_791", "improvement_over_parent": null }, "node_793": { "node_id": "node_793", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_792", "improvement_over_parent": null }, "node_794": { "node_id": "node_794", "content": "INITIAL DESIGN (Trace 113)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 185.75 kg\n Factor of Safety: 0.67\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.75329344356243, "fos_buckling": 0.6688506218449893, "fos_yielding": 1.5393438821097036, "deflection": 0.008712050246111509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_795": { "node_id": "node_795", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 221.75 kg\n Factor of Safety: 0.78\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.75173366320647, "fos_buckling": 0.7795001400851832, "fos_yielding": 1.8327098611646546, "deflection": 0.0073182255964888785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_794", "improvement_over_parent": null }, "node_796": { "node_id": "node_796", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 238.74 kg\n Factor of Safety: 0.93\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.74270030623185, "fos_buckling": 0.9330961480124731, "fos_yielding": 2.004859601952502, "deflection": 0.006641213569337586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003688)" }, "parent_node_id": "node_795", "improvement_over_parent": null }, "node_797": { "node_id": "node_797", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.48 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.4781247374739, "fos_buckling": 1.076904915299345, "fos_yielding": 2.3967319240844627, "deflection": 0.005576015244112163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_796", "improvement_over_parent": null }, "node_798": { "node_id": "node_798", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5098914227036, "fos_buckling": 1.5144930822917368, "fos_yielding": 2.1877078387653657, "deflection": 0.005153060573667095, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_797", "improvement_over_parent": null }, "node_799": { "node_id": "node_799", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_798", "improvement_over_parent": null }, "node_800": { "node_id": "node_800", "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 207.59 kg\n Factor of Safety: 0.44\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.59359127662358, "fos_buckling": 0.4412429179553474, "fos_yielding": 1.467321651643835, "deflection": 0.00854483190509896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_801": { "node_id": "node_801", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 212.80 kg\n Factor of Safety: 0.44\n Max Deflection: 8.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.7968588771815, "fos_buckling": 0.4409053960076823, "fos_yielding": 1.4670672191018468, "deflection": 0.008549189949042867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.608)" }, "parent_node_id": "node_800", "improvement_over_parent": null }, "node_802": { "node_id": "node_802", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 268.58 kg\n Factor of Safety: 0.53\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.58346714958014, "fos_buckling": 0.5320549550859859, "fos_yielding": 1.8466098598303318, "deflection": 0.006817332136510539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_801", "improvement_over_parent": null }, "node_803": { "node_id": "node_803", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.37 kg\n Factor of Safety: 1.27\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.3740946919941, "fos_buckling": 1.2698155698788782, "fos_yielding": 2.185611948173833, "deflection": 0.005413814339412442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_802", "improvement_over_parent": null }, "node_804": { "node_id": "node_804", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2577599080359, "fos_buckling": 1.512963592909135, "fos_yielding": 2.1858196957093963, "deflection": 0.005157638314283808, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.355)" }, "parent_node_id": "node_803", "improvement_over_parent": null }, "node_805": { "node_id": "node_805", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_804", "improvement_over_parent": null }, "node_806": { "node_id": "node_806", "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 112.19 kg\n Factor of Safety: 0.20\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.19442805220038, "fos_buckling": 0.20233403279475098, "fos_yielding": 0.4395188119016066, "deflection": 0.027187676325179513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_807": { "node_id": "node_807", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 112.51 kg\n Factor of Safety: 0.20\n Max Deflection: 2.60e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.51355802966938, "fos_buckling": 0.2023291815448167, "fos_yielding": 0.5855136420904066, "deflection": 0.02601568315804666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.403)" }, "parent_node_id": "node_806", "improvement_over_parent": null }, "node_808": { "node_id": "node_808", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 138.30 kg\n Factor of Safety: 0.24\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.302308641987, "fos_buckling": 0.24449186753819455, "fos_yielding": 0.7179683668139413, "deflection": 0.021214784412914373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_807", "improvement_over_parent": null }, "node_809": { "node_id": "node_809", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 159.89 kg\n Factor of Safety: 0.28\n Max Deflection: 1.84e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.893331711329, "fos_buckling": 0.27859701857327734, "fos_yielding": 0.828369018992386, "deflection": 0.018386390023043483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_808", "improvement_over_parent": null }, "node_810": { "node_id": "node_810", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.25 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.2484422110603, "fos_buckling": 0.3276783310635123, "fos_yielding": 0.9929728188209687, "deflection": 0.015337258018552876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_809", "improvement_over_parent": null }, "node_811": { "node_id": "node_811", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.29 kg\n Factor of Safety: 0.40\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.29270066927475, "fos_buckling": 0.4029234721962615, "fos_yielding": 1.2606814606858128, "deflection": 0.01207876020190434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_810", "improvement_over_parent": null }, "node_812": { "node_id": "node_812", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 268.39 kg\n Factor of Safety: 1.37\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.3856111515004, "fos_buckling": 1.370096540012273, "fos_yielding": 1.9358622101559821, "deflection": 0.005811772971995572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004772)" }, "parent_node_id": "node_811", "improvement_over_parent": null }, "node_813": { "node_id": "node_813", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31632393977924, "fos_buckling": 1.5135688927344457, "fos_yielding": 2.1860781002531535, "deflection": 0.005156156682625395, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_812", "improvement_over_parent": null }, "node_814": { "node_id": "node_814", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_813", "improvement_over_parent": null }, "node_815": { "node_id": "node_815", "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 183.92 kg\n Factor of Safety: 0.27\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.92333352360254, "fos_buckling": 0.2693993546432843, "fos_yielding": 1.101034862753189, "deflection": 0.014569219838012857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_816": { "node_id": "node_816", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 210.04 kg\n Factor of Safety: 1.02\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.03769547451515, "fos_buckling": 1.0214109909293931, "fos_yielding": 1.5751227080416617, "deflection": 0.007333071464165022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004189)" }, "parent_node_id": "node_815", "improvement_over_parent": null }, "node_817": { "node_id": "node_817", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 241.30 kg\n Factor of Safety: 1.16\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.30454111477485, "fos_buckling": 1.1588320705812427, "fos_yielding": 1.8077451092592, "deflection": 0.0063980182697692504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_816", "improvement_over_parent": null }, "node_818": { "node_id": "node_818", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.66 kg\n Factor of Safety: 1.38\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.6563375044091, "fos_buckling": 1.3761298117175362, "fos_yielding": 2.188700781058388, "deflection": 0.0052958837899898595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_817", "improvement_over_parent": null }, "node_819": { "node_id": "node_819", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 297.93 kg\n Factor of Safety: 1.37\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.9302289699492, "fos_buckling": 1.3697322479073202, "fos_yielding": 2.1751224448323945, "deflection": 0.005268567029730875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.333)" }, "parent_node_id": "node_818", "improvement_over_parent": null }, "node_820": { "node_id": "node_820", "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.07 kg\n Factor of Safety: 1.36\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.0721458822553, "fos_buckling": 1.3608704611129618, "fos_yielding": 2.174810177198132, "deflection": 0.005192690604634188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.471)" }, "parent_node_id": "node_819", "improvement_over_parent": null }, "node_821": { "node_id": "node_821", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_820", "improvement_over_parent": null }, "node_822": { "node_id": "node_822", "content": "INITIAL DESIGN (Trace 117)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 127.15 kg\n Factor of Safety: 0.94\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.14869124704, "fos_buckling": 0.9375738567575757, "fos_yielding": 1.3281609994847856, "deflection": 10225256454881.527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_823": { "node_id": "node_823", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n\nPerformance:\n Mass: 134.84 kg\n Factor of Safety: 0.49\n Max Deflection: 1.49e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.84426939095965, "fos_buckling": 0.49146079681075133, "fos_yielding": 1.0793933022983573, "deflection": 14864800107674.793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002222)" }, "parent_node_id": "node_822", "improvement_over_parent": null }, "node_824": { "node_id": "node_824", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n Mass: 148.93 kg\n Factor of Safety: 0.29\n Max Deflection: 2.08e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.92748693868077, "fos_buckling": 0.2916671185264866, "fos_yielding": 1.1260306224013346, "deflection": 0.020751512968827365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002799)" }, "parent_node_id": "node_823", "improvement_over_parent": null }, "node_825": { "node_id": "node_825", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 193.56 kg\n Factor of Safety: 0.37\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.56017713832674, "fos_buckling": 0.3661895259033685, "fos_yielding": 1.460641142639152, "deflection": 0.016029195368949777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_824", "improvement_over_parent": null }, "node_826": { "node_id": "node_826", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 245.67 kg\n Factor of Safety: 0.45\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.67199605370524, "fos_buckling": 0.44582388106895005, "fos_yielding": 1.8496190299055772, "deflection": 0.012686140170537595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_825", "improvement_over_parent": null }, "node_827": { "node_id": "node_827", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 271.76 kg\n Factor of Safety: 0.53\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.7597883364814, "fos_buckling": 0.5324633223378371, "fos_yielding": 1.8472119030419432, "deflection": 0.006622348325703222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_826", "improvement_over_parent": null }, "node_828": { "node_id": "node_828", "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 276.56 kg\n Factor of Safety: 0.68\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.55847597707987, "fos_buckling": 0.6833567694441639, "fos_yielding": 1.8464751972636464, "deflection": 0.006247556509077559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.435)" }, "parent_node_id": "node_827", "improvement_over_parent": null }, "node_829": { "node_id": "node_829", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.35 kg\n Factor of Safety: 1.46\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.34910351949384, "fos_buckling": 1.4627055714590917, "fos_yielding": 2.1701529152680306, "deflection": 0.005173141744899175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_828", "improvement_over_parent": null }, "node_830": { "node_id": "node_830", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_829", "improvement_over_parent": null }, "node_831": { "node_id": "node_831", "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.18 kg\n Factor of Safety: 0.72\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.1755215176379, "fos_buckling": 0.7192749393368285, "fos_yielding": 1.5662605075416207, "deflection": 0.008656754950483162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_832": { "node_id": "node_832", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 0.84\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.85704331148236, "fos_buckling": 0.8391143326108758, "fos_yielding": 1.5662453528986227, "deflection": 0.008531240549972915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.224)" }, "parent_node_id": "node_831", "improvement_over_parent": null }, "node_833": { "node_id": "node_833", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 252.88 kg\n Factor of Safety: 1.04\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.88113219829899, "fos_buckling": 1.0417940984495633, "fos_yielding": 2.0094258005690726, "deflection": 0.006664609406546204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_832", "improvement_over_parent": null }, "node_834": { "node_id": "node_834", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 273.85 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.85083671594987, "fos_buckling": 1.393146003513572, "fos_yielding": 1.9751069106242896, "deflection": 0.005698456605020795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004284)" }, "parent_node_id": "node_833", "improvement_over_parent": null }, "node_835": { "node_id": "node_835", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.503871712928, "fos_buckling": 1.5144043023435725, "fos_yielding": 2.1874970094369446, "deflection": 0.005153310666434356, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_834", "improvement_over_parent": null }, "node_836": { "node_id": "node_836", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_835", "improvement_over_parent": null }, "node_837": { "node_id": "node_837", "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0009)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 183.98 kg\n Factor of Safety: 0.64\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.98060763663347, "fos_buckling": 0.6403249634754571, "fos_yielding": 1.0454243563149512, "deflection": 0.00865252477372175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_838": { "node_id": "node_838", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 0.71\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.74833016860583, "fos_buckling": 0.7075425855792759, "fos_yielding": 1.1588476921002782, "deflection": 0.007822946606963217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_837", "improvement_over_parent": null }, "node_839": { "node_id": "node_839", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 233.41 kg\n Factor of Safety: 0.81\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.4077017974576, "fos_buckling": 0.807817236403727, "fos_yielding": 1.3295116355969445, "deflection": 0.006841793102177694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_838", "improvement_over_parent": null }, "node_840": { "node_id": "node_840", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.12 kg\n Factor of Safety: 1.02\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.12028105171385, "fos_buckling": 1.0241931671495288, "fos_yielding": 1.7041099499983001, "deflection": 0.005378579679594835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_839", "improvement_over_parent": null }, "node_841": { "node_id": "node_841", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.52 kg\n Factor of Safety: 1.03\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.5173820712646, "fos_buckling": 1.0284022563678203, "fos_yielding": 2.1831734107898075, "deflection": 0.005334723293206529, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.321)" }, "parent_node_id": "node_840", "improvement_over_parent": null }, "node_842": { "node_id": "node_842", "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.44 kg\n Factor of Safety: 1.27\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.4424898769847, "fos_buckling": 1.2671735047933195, "fos_yielding": 2.1848649824139, "deflection": 0.005251782512184811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.376)" }, "parent_node_id": "node_841", "improvement_over_parent": null }, "node_843": { "node_id": "node_843", "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.49578317716305, "fos_buckling": 1.5144086361704725, "fos_yielding": 2.186854796715852, "deflection": 0.005153387151801351, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.639)" }, "parent_node_id": "node_842", "improvement_over_parent": null }, "node_844": { "node_id": "node_844", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_843", "improvement_over_parent": null }, "node_845": { "node_id": "node_845", "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 0.84\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.3675912470918, "fos_buckling": 0.8446206158804777, "fos_yielding": 1.0509304621528048, "deflection": 0.007737407163594395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_846": { "node_id": "node_846", "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 0.84\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.9416839170304, "fos_buckling": 0.8417806960805896, "fos_yielding": 1.047396854078768, "deflection": 0.0077155876392181405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.229)" }, "parent_node_id": "node_845", "improvement_over_parent": null }, "node_847": { "node_id": "node_847", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.08 kg\n Factor of Safety: 0.93\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.0788340399754, "fos_buckling": 0.9258763686084995, "fos_yielding": 1.1619308633938685, "deflection": 0.0069770558598902105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_846", "improvement_over_parent": null }, "node_848": { "node_id": "node_848", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.91 kg\n Factor of Safety: 1.04\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.9133098085657, "fos_buckling": 1.0446108522565511, "fos_yielding": 1.327440875858759, "deflection": 0.006135481807542159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_847", "improvement_over_parent": null }, "node_849": { "node_id": "node_849", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 294.77 kg\n Factor of Safety: 1.17\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.77200520485, "fos_buckling": 1.1716344533115342, "fos_yielding": 1.5098432900593162, "deflection": 0.005422379752809007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_848", "improvement_over_parent": null }, "node_850": { "node_id": "node_850", "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 298.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.35e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.16613906021263, "fos_buckling": 1.5118190368022446, "fos_yielding": 2.1904094230859377, "deflection": 0.0053543875124154, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.517)" }, "parent_node_id": "node_849", "improvement_over_parent": null }, "node_851": { "node_id": "node_851", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.65790405625637, "fos_buckling": 1.515076619430862, "fos_yielding": 2.1869413911975935, "deflection": 0.005150780898147696, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.277)" }, "parent_node_id": "node_850", "improvement_over_parent": null }, "node_852": { "node_id": "node_852", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_851", "improvement_over_parent": null }, "node_853": { "node_id": "node_853", "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 236.66 kg\n Factor of Safety: 1.01\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.66315894313797, "fos_buckling": 1.0063812483545278, "fos_yielding": 1.9472004487441912, "deflection": 0.006764090058714737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_854": { "node_id": "node_854", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 239.20 kg\n Factor of Safety: 1.01\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.1987954005832, "fos_buckling": 1.0061914608069025, "fos_yielding": 2.0031133901934455, "deflection": 0.006677940752587072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002113)" }, "parent_node_id": "node_853", "improvement_over_parent": null }, "node_855": { "node_id": "node_855", "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 241.82 kg\n Factor of Safety: 1.01\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.81659215809918, "fos_buckling": 1.0060935202718588, "fos_yielding": 1.993384382440247, "deflection": 0.0066535762639848735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.321)" }, "parent_node_id": "node_854", "improvement_over_parent": null }, "node_856": { "node_id": "node_856", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 263.82 kg\n Factor of Safety: 1.20\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.82328887668064, "fos_buckling": 1.204979607327405, "fos_yielding": 1.7259617154879572, "deflection": 0.005880497718892557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004392)" }, "parent_node_id": "node_855", "improvement_over_parent": null }, "node_857": { "node_id": "node_857", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 268.66 kg\n Factor of Safety: 1.18\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.6565482892738, "fos_buckling": 1.184392420548054, "fos_yielding": 1.696473501749992, "deflection": 0.005800149260959087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.493)" }, "parent_node_id": "node_856", "improvement_over_parent": null }, "node_858": { "node_id": "node_858", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.07 kg\n Factor of Safety: 1.30\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.06719837866837, "fos_buckling": 1.295323970140714, "fos_yielding": 1.8786954586176001, "deflection": 0.0052567627879357435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_857", "improvement_over_parent": null }, "node_859": { "node_id": "node_859", "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 299.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.4961000933023, "fos_buckling": 1.513393342354584, "fos_yielding": 2.19963336884552, "deflection": 0.005186299903022664, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.376)" }, "parent_node_id": "node_858", "improvement_over_parent": null }, "node_860": { "node_id": "node_860", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0030)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 300.21135562209594, "fos_buckling": 1.5133126019260186, "fos_yielding": 2.2027102750369396, "deflection": 0.005182555269753319, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.289)" }, "parent_node_id": "node_859", "improvement_over_parent": null }, "node_861": { "node_id": "node_861", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_860", "improvement_over_parent": null }, "node_862": { "node_id": "node_862", "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 181.81 kg\n Factor of Safety: 0.39\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.81254026501924, "fos_buckling": 0.38864434281382376, "fos_yielding": 1.102292264449236, "deflection": 0.01419958860734214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_863": { "node_id": "node_863", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 209.06 kg\n Factor of Safety: 0.89\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.05807185323528, "fos_buckling": 0.8872687900540633, "fos_yielding": 1.6756460294771607, "deflection": 0.008032449144282503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004383)" }, "parent_node_id": "node_862", "improvement_over_parent": null }, "node_864": { "node_id": "node_864", "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n\nPerformance:\n Mass: 209.83 kg\n Factor of Safety: 0.89\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.82703085004016, "fos_buckling": 0.8873078967926304, "fos_yielding": 1.668916245820998, "deflection": 0.008010544900194165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.616)" }, "parent_node_id": "node_863", "improvement_over_parent": null }, "node_865": { "node_id": "node_865", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 227.22 kg\n Factor of Safety: 1.19\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.22089575041227, "fos_buckling": 1.1909624829944037, "fos_yielding": 1.640571610536785, "deflection": 0.006843477693342979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003502)" }, "parent_node_id": "node_864", "improvement_over_parent": null }, "node_866": { "node_id": "node_866", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 255.22 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.22020055178373, "fos_buckling": 1.314075276197231, "fos_yielding": 1.8415547689703042, "deflection": 0.006105736391170658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_865", "improvement_over_parent": null }, "node_867": { "node_id": "node_867", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5518659345938, "fos_buckling": 1.5146181802756757, "fos_yielding": 2.187883549911318, "deflection": 0.005152492611298711, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_866", "improvement_over_parent": null }, "node_868": { "node_id": "node_868", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_867", "improvement_over_parent": null }, "node_869": { "node_id": "node_869", "content": "INITIAL DESIGN (Trace 123)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 0.78\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.26922129736235, "fos_buckling": 0.7801908627920497, "fos_yielding": 1.4710815398766257, "deflection": 0.00889941830668275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_870": { "node_id": "node_870", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 1.06\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.748370642001, "fos_buckling": 1.0633642547562066, "fos_yielding": 1.4690573219794374, "deflection": 0.00768887094572915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002870)" }, "parent_node_id": "node_869", "improvement_over_parent": null }, "node_871": { "node_id": "node_871", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 203.16 kg\n Factor of Safety: 1.07\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.16069255603264, "fos_buckling": 1.069420126852004, "fos_yielding": 1.4709433936114924, "deflection": 0.007684283785118039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.236)" }, "parent_node_id": "node_870", "improvement_over_parent": null }, "node_872": { "node_id": "node_872", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 262.16 kg\n Factor of Safety: 1.33\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.1551826244756, "fos_buckling": 1.3320329080143931, "fos_yielding": 1.895480973256436, "deflection": 0.005980854878181663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_871", "improvement_over_parent": null }, "node_873": { "node_id": "node_873", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.96325636055514, "fos_buckling": 1.4992646576232702, "fos_yielding": 2.1884622534816, "deflection": 0.005190680190606716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_872", "improvement_over_parent": null }, "node_874": { "node_id": "node_874", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_873", "improvement_over_parent": null }, "node_875": { "node_id": "node_875", "content": "INITIAL DESIGN (Trace 124)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 165.92 kg\n Factor of Safety: 0.21\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.9172110061488, "fos_buckling": 0.2136553564752744, "fos_yielding": 1.0018180392154021, "deflection": 0.011825314377709334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_876": { "node_id": "node_876", "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 166.48 kg\n Factor of Safety: 0.30\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.48173540509603, "fos_buckling": 0.2979553428961251, "fos_yielding": 1.2186533070278747, "deflection": 0.011589025101052395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.468)" }, "parent_node_id": "node_875", "improvement_over_parent": null }, "node_877": { "node_id": "node_877", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 213.41 kg\n Factor of Safety: 0.37\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.41260533786217, "fos_buckling": 0.3686848050341797, "fos_yielding": 1.5593692764790583, "deflection": 0.009070068719077848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_876", "improvement_over_parent": null }, "node_878": { "node_id": "node_878", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 253.45 kg\n Factor of Safety: 0.42\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.45442450183964, "fos_buckling": 0.4245045665252957, "fos_yielding": 1.8490935250799234, "deflection": 0.007658316098869478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_877", "improvement_over_parent": null }, "node_879": { "node_id": "node_879", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 276.68 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.6779448829876, "fos_buckling": 0.5319064258777068, "fos_yielding": 1.846951849938485, "deflection": 0.006693483814824587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_878", "improvement_over_parent": null }, "node_880": { "node_id": "node_880", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.47 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.4685724254016, "fos_buckling": 1.5005489561691336, "fos_yielding": 2.1857362817109363, "deflection": 0.005189080243632724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_879", "improvement_over_parent": null }, "node_881": { "node_id": "node_881", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3488728293757, "fos_buckling": 1.5137790163618459, "fos_yielding": 2.186403895026267, "deflection": 0.005155881174153048, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.206)" }, "parent_node_id": "node_880", "improvement_over_parent": null }, "node_882": { "node_id": "node_882", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_881", "improvement_over_parent": null }, "node_883": { "node_id": "node_883", "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.42 kg\n Factor of Safety: 0.86\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.4238313783371, "fos_buckling": 0.8568144370809362, "fos_yielding": 2.1430613229575397, "deflection": 0.005449289376253741, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_884": { "node_id": "node_884", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.46 kg\n Factor of Safety: 0.86\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.46101247663086, "fos_buckling": 0.8593599325414502, "fos_yielding": 2.143726704772529, "deflection": 0.005323430661174035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.206)" }, "parent_node_id": "node_883", "improvement_over_parent": null }, "node_885": { "node_id": "node_885", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.27 kg\n Factor of Safety: 1.23\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.2652684557714, "fos_buckling": 1.2302328844514163, "fos_yielding": 2.213463331966322, "deflection": 0.00521145557967386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_884", "improvement_over_parent": null }, "node_886": { "node_id": "node_886", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 301.10 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.0988417979238, "fos_buckling": 1.4802085073305256, "fos_yielding": 2.1964707264848915, "deflection": 0.005175076063665678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.404)" }, "parent_node_id": "node_885", "improvement_over_parent": null }, "node_887": { "node_id": "node_887", "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.40497820016833, "fos_buckling": 1.5141141554545285, "fos_yielding": 2.186959596710848, "deflection": 0.00515489747461785, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.244)" }, "parent_node_id": "node_886", "improvement_over_parent": null }, "node_888": { "node_id": "node_888", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_887", "improvement_over_parent": null }, "node_889": { "node_id": "node_889", "content": "INITIAL DESIGN (Trace 126)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 179.84 kg\n Factor of Safety: 1.06\n Max Deflection: 6.90e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.8369421843828, "fos_buckling": 1.0557617604169276, "fos_yielding": 1.1888567615515349, "deflection": 6901567991946.716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_890": { "node_id": "node_890", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 186.43 kg\n Factor of Safety: 0.96\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.42586066596658, "fos_buckling": 0.9553773866758989, "fos_yielding": 1.8522599291826343, "deflection": 10204730849725.709, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.520)" }, "parent_node_id": "node_889", "improvement_over_parent": null }, "node_891": { "node_id": "node_891", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 200.36 kg\n Factor of Safety: 0.43\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.3599496172049, "fos_buckling": 0.4320682141749737, "fos_yielding": 1.4314802289621835, "deflection": 0.008872156079602006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003191)" }, "parent_node_id": "node_890", "improvement_over_parent": null }, "node_892": { "node_id": "node_892", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 203.98 kg\n Factor of Safety: 0.43\n Max Deflection: 8.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.9769780785407, "fos_buckling": 0.43195322628270205, "fos_yielding": 1.4313939324315648, "deflection": 0.008812240631556605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.403)" }, "parent_node_id": "node_891", "improvement_over_parent": null }, "node_893": { "node_id": "node_893", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 264.26 kg\n Factor of Safety: 0.53\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.2603354156128, "fos_buckling": 0.5325682493551486, "fos_yielding": 1.8482223200933572, "deflection": 0.006851207236886305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_892", "improvement_over_parent": null }, "node_894": { "node_id": "node_894", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 268.91 kg\n Factor of Safety: 0.53\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.90850569817053, "fos_buckling": 0.53238768644302, "fos_yielding": 1.8480794865017265, "deflection": 0.006810337353680588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.259)" }, "parent_node_id": "node_893", "improvement_over_parent": null }, "node_895": { "node_id": "node_895", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.70 kg\n Factor of Safety: 1.27\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.6991332405845, "fos_buckling": 1.2746238621529051, "fos_yielding": 2.1872515391555436, "deflection": 0.005405362639190996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_894", "improvement_over_parent": null }, "node_896": { "node_id": "node_896", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.45670033369083, "fos_buckling": 1.5140282071217785, "fos_yielding": 2.18745461452891, "deflection": 0.005154199826523718, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.348)" }, "parent_node_id": "node_895", "improvement_over_parent": null }, "node_897": { "node_id": "node_897", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_896", "improvement_over_parent": null }, "node_898": { "node_id": "node_898", "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 162.10 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.1039924966061, "fos_buckling": 0.40010495360400816, "fos_yielding": 1.298680398630886, "deflection": 157030942186.80984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_899": { "node_id": "node_899", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 174.08 kg\n Factor of Safety: 0.40\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.07573516555811, "fos_buckling": 0.39815290799887365, "fos_yielding": 1.2972512797413311, "deflection": 0.010834064108775134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003001)" }, "parent_node_id": "node_898", "improvement_over_parent": null }, "node_900": { "node_id": "node_900", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.48\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.8912979529221, "fos_buckling": 0.4787357853735176, "fos_yielding": 1.6134743363642812, "deflection": 0.00872153225802001, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_899", "improvement_over_parent": null }, "node_901": { "node_id": "node_901", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 248.71 kg\n Factor of Safety: 0.53\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.70724371194697, "fos_buckling": 0.5343282877311346, "fos_yielding": 1.8477249531986892, "deflection": 0.007622836978965197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_900", "improvement_over_parent": null }, "node_902": { "node_id": "node_902", "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 249.80 kg\n Factor of Safety: 0.53\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.80424461485407, "fos_buckling": 0.5341565228819384, "fos_yielding": 1.8475900168017658, "deflection": 0.007623766973886364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.451)" }, "parent_node_id": "node_901", "improvement_over_parent": null }, "node_903": { "node_id": "node_903", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 270.12 kg\n Factor of Safety: 0.53\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.11757949688086, "fos_buckling": 0.5317824413703963, "fos_yielding": 1.8457180736440355, "deflection": 0.0076097469098708286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_902", "improvement_over_parent": null }, "node_904": { "node_id": "node_904", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 275.69 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.6917791618571, "fos_buckling": 0.5313504071566029, "fos_yielding": 1.7874970719794994, "deflection": 0.006685433397994292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_903", "improvement_over_parent": null }, "node_905": { "node_id": "node_905", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.48 kg\n Factor of Safety: 1.24\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.48240670427106, "fos_buckling": 1.242227948893874, "fos_yielding": 1.790260574634698, "deflection": 0.00523974543306195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_904", "improvement_over_parent": null }, "node_906": { "node_id": "node_906", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_905", "improvement_over_parent": null }, "node_907": { "node_id": "node_907", "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 240.06 kg\n Factor of Safety: 0.79\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.06211217228105, "fos_buckling": 0.7860133193399812, "fos_yielding": 1.9096464165835934, "deflection": 0.0071524227335545065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_908": { "node_id": "node_908", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.34 kg\n Factor of Safety: 1.00\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.34340862168952, "fos_buckling": 1.0017299509457671, "fos_yielding": 1.9182302016445183, "deflection": 0.006977997313808805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.393)" }, "parent_node_id": "node_907", "improvement_over_parent": null }, "node_909": { "node_id": "node_909", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.01 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.01303403342564, "fos_buckling": 1.134565211690037, "fos_yielding": 2.2236273656590337, "deflection": 0.006028933795690085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_908", "improvement_over_parent": null }, "node_910": { "node_id": "node_910", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2365544145736, "fos_buckling": 1.5133449535749963, "fos_yielding": 2.1855339105428895, "deflection": 0.005157737943433298, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_909", "improvement_over_parent": null }, "node_911": { "node_id": "node_911", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_910", "improvement_over_parent": null }, "node_912": { "node_id": "node_912", "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.49 kg\n Factor of Safety: 0.72\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.48540918900616, "fos_buckling": 0.7161114016505015, "fos_yielding": 1.4677873468665372, "deflection": 0.009252448175430947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_913": { "node_id": "node_913", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.72\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.6256043481378, "fos_buckling": 0.7158394147935826, "fos_yielding": 1.4677873468665374, "deflection": 0.0090742256862973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.555)" }, "parent_node_id": "node_912", "improvement_over_parent": null }, "node_914": { "node_id": "node_914", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.94\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.8598672262366, "fos_buckling": 0.9417222363300293, "fos_yielding": 1.3465434517730672, "deflection": 0.008386774034696311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.001782)" }, "parent_node_id": "node_913", "improvement_over_parent": null }, "node_915": { "node_id": "node_915", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n\nPerformance:\n Mass: 240.73 kg\n Factor of Safety: 1.19\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.7324460882298, "fos_buckling": 1.1935534046901373, "fos_yielding": 1.760511769366774, "deflection": 0.006433920464244388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_914", "improvement_over_parent": null }, "node_916": { "node_id": "node_916", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 300.42 kg\n Factor of Safety: 1.44\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.42480673454827, "fos_buckling": 1.4385678413196226, "fos_yielding": 2.193674494646282, "deflection": 0.005179544290509871, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_915", "improvement_over_parent": null }, "node_917": { "node_id": "node_917", "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 302.61 kg\n Factor of Safety: 1.44\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.6085349408584, "fos_buckling": 1.4375617579952686, "fos_yielding": 2.1935459065923695, "deflection": 0.005140296622722532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.259)" }, "parent_node_id": "node_916", "improvement_over_parent": null }, "node_918": { "node_id": "node_918", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0061)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 305.62 kg\n Factor of Safety: 1.34\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.61966491171984, "fos_buckling": 1.3393721353966201, "fos_yielding": 2.7991167041873113, "deflection": 0.0051086551621257114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.323)" }, "parent_node_id": "node_917", "improvement_over_parent": null }, "node_919": { "node_id": "node_919", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_918", "improvement_over_parent": null }, "node_920": { "node_id": "node_920", "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 149.71 kg\n Factor of Safety: 0.78\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.70824657662212, "fos_buckling": 0.7787970356881614, "fos_yielding": 1.0994551434351485, "deflection": 0.010279788913955116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_921": { "node_id": "node_921", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 173.09 kg\n Factor of Safety: 0.89\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.09052681671147, "fos_buckling": 0.8889571646223803, "fos_yielding": 1.2704169810763533, "deflection": 0.008907423323479902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_920", "improvement_over_parent": null }, "node_922": { "node_id": "node_922", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 205.39 kg\n Factor of Safety: 1.04\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.39288956043183, "fos_buckling": 1.0361789574310338, "fos_yielding": 1.5062565629025348, "deflection": 0.007525525884546885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_921", "improvement_over_parent": null }, "node_923": { "node_id": "node_923", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.61 kg\n Factor of Safety: 1.20\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.61142534396757, "fos_buckling": 1.203013965193458, "fos_yielding": 1.7847723797524213, "deflection": 0.006363841019775292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_922", "improvement_over_parent": null }, "node_924": { "node_id": "node_924", "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 245.94 kg\n Factor of Safety: 1.27\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.93728592256764, "fos_buckling": 1.2738030043548323, "fos_yielding": 1.7749359882054092, "deflection": 0.006331737895589292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.314)" }, "parent_node_id": "node_923", "improvement_over_parent": null }, "node_925": { "node_id": "node_925", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.7196467609929, "fos_buckling": 1.5152689114747735, "fos_yielding": 2.1890683982099457, "deflection": 0.005149730369204718, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_924", "improvement_over_parent": null }, "node_926": { "node_id": "node_926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_925", "improvement_over_parent": null }, "node_927": { "node_id": "node_927", "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 185.87 kg\n Factor of Safety: 0.69\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.86658009160507, "fos_buckling": 0.6947521159731384, "fos_yielding": 1.6649191612812018, "deflection": 0.010011584984019481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_928": { "node_id": "node_928", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 187.97 kg\n Factor of Safety: 0.69\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.97252197038355, "fos_buckling": 0.6946974354525999, "fos_yielding": 1.6576558516128572, "deflection": 0.009988706613411745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.307)" }, "parent_node_id": "node_927", "improvement_over_parent": null }, "node_929": { "node_id": "node_929", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 208.27 kg\n Factor of Safety: 0.76\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.26695457794492, "fos_buckling": 0.7621005213533304, "fos_yielding": 1.8352386189915026, "deflection": 0.009022749758922666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_928", "improvement_over_parent": null }, "node_930": { "node_id": "node_930", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.35 kg\n Factor of Safety: 0.76\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.35332487618808, "fos_buckling": 0.7619249978567332, "fos_yielding": 1.8351984393884044, "deflection": 0.008727705640849057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.185)" }, "parent_node_id": "node_929", "improvement_over_parent": null }, "node_931": { "node_id": "node_931", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 216.68 kg\n Factor of Safety: 0.93\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.68437398532436, "fos_buckling": 0.9323756651282468, "fos_yielding": 1.8349902623749024, "deflection": 0.008174175159627194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.355)" }, "parent_node_id": "node_930", "improvement_over_parent": null }, "node_932": { "node_id": "node_932", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 230.78 kg\n Factor of Safety: 0.96\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.77855584524357, "fos_buckling": 0.9636268644987217, "fos_yielding": 1.8348068426546316, "deflection": 0.007292151448806356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003574)" }, "parent_node_id": "node_931", "improvement_over_parent": null }, "node_933": { "node_id": "node_933", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 280.37 kg\n Factor of Safety: 1.14\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.3718045524411, "fos_buckling": 1.1352363955733076, "fos_yielding": 2.2265857563600595, "deflection": 0.006020985531581475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_932", "improvement_over_parent": null }, "node_934": { "node_id": "node_934", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5953249335891, "fos_buckling": 1.5148569217279817, "fos_yielding": 2.1884632768425676, "deflection": 0.005151421859151099, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_933", "improvement_over_parent": null }, "node_935": { "node_id": "node_935", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_934", "improvement_over_parent": null }, "node_936": { "node_id": "node_936", "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 125.61 kg\n Factor of Safety: 0.43\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.60947788106952, "fos_buckling": 0.4301852006052771, "fos_yielding": 0.9498849264378457, "deflection": 0.014736239117495248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_937": { "node_id": "node_937", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 128.05 kg\n Factor of Safety: 0.69\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.05211581871123, "fos_buckling": 0.6858815490740068, "fos_yielding": 0.9623344704262123, "deflection": 0.011990694118937328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001384)" }, "parent_node_id": "node_936", "improvement_over_parent": null }, "node_938": { "node_id": "node_938", "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 131.06 kg\n Factor of Safety: 0.68\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.0584872836299, "fos_buckling": 0.6847121687102826, "fos_yielding": 0.9632666375848213, "deflection": 0.011906586906763559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.355)" }, "parent_node_id": "node_937", "improvement_over_parent": null }, "node_939": { "node_id": "node_939", "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0011)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n\nPerformance:\n Mass: 135.40 kg\n Factor of Safety: 0.68\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.3953140063492, "fos_buckling": 0.6835439652229179, "fos_yielding": 0.9640879834112662, "deflection": 0.011831880912055557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.391)" }, "parent_node_id": "node_938", "improvement_over_parent": null }, "node_940": { "node_id": "node_940", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0013)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.83\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.56275573023984, "fos_buckling": 0.8263257481501666, "fos_yielding": 1.1860962830119124, "deflection": 0.009633588961271405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_939", "improvement_over_parent": null }, "node_941": { "node_id": "node_941", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0052)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 196.67 kg\n Factor of Safety: 0.96\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.6655577646224, "fos_buckling": 0.9591040634296135, "fos_yielding": 1.40059144501005, "deflection": 0.008171559693872352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_940", "improvement_over_parent": null }, "node_942": { "node_id": "node_942", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0069)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 256.10 kg\n Factor of Safety: 1.21\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.09531408216714, "fos_buckling": 1.2065324723175788, "fos_yielding": 1.8243475708255885, "deflection": 0.006293549444095062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_941", "improvement_over_parent": null }, "node_943": { "node_id": "node_943", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0084)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.37 kg\n Factor of Safety: 1.40\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.3725505065108, "fos_buckling": 1.4044277795854878, "fos_yielding": 2.1904181675846823, "deflection": 0.005256059576821858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_942", "improvement_over_parent": null }, "node_944": { "node_id": "node_944", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_943", "improvement_over_parent": null }, "node_945": { "node_id": "node_945", "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 182.53 kg\n Factor of Safety: 0.75\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.52909288283286, "fos_buckling": 0.7464995363245832, "fos_yielding": 1.3994484650864685, "deflection": 0.009340304082649235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_946": { "node_id": "node_946", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 220.20 kg\n Factor of Safety: 0.88\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.20261519672368, "fos_buckling": 0.8780742518390556, "fos_yielding": 1.6867895013201735, "deflection": 0.0077657371397259695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_945", "improvement_over_parent": null }, "node_947": { "node_id": "node_947", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 233.37 kg\n Factor of Safety: 1.22\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.36612400317424, "fos_buckling": 1.2184004353709894, "fos_yielding": 1.6847574155763643, "deflection": 0.006666334605783653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003321)" }, "parent_node_id": "node_946", "improvement_over_parent": null }, "node_948": { "node_id": "node_948", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.52743710386096, "fos_buckling": 1.5145003771935885, "fos_yielding": 2.1877748650411015, "deflection": 0.005152850730702691, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_947", "improvement_over_parent": null }, "node_949": { "node_id": "node_949", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_948", "improvement_over_parent": null }, "node_950": { "node_id": "node_950", "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 190.20 kg\n Factor of Safety: 0.79\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.2023306205678, "fos_buckling": 0.7912033181500859, "fos_yielding": 1.6465111071731178, "deflection": 0.008251234433997199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_951": { "node_id": "node_951", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 190.90 kg\n Factor of Safety: 0.79\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.89857091846125, "fos_buckling": 0.7911220870462137, "fos_yielding": 1.6465111071731178, "deflection": 0.008196098534327926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.236)" }, "parent_node_id": "node_950", "improvement_over_parent": null }, "node_952": { "node_id": "node_952", "content": "MODIFICATION: Increase 11 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 0.79\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.04246988443037, "fos_buckling": 0.7908221594941114, "fos_yielding": 1.6465111071731178, "deflection": 0.008058789895740588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.471)" }, "parent_node_id": "node_951", "improvement_over_parent": null }, "node_953": { "node_id": "node_953", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 208.43 kg\n Factor of Safety: 1.11\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.42792578943664, "fos_buckling": 1.1054932314970558, "fos_yielding": 1.5054557496605148, "deflection": 0.007449975828966158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002814)" }, "parent_node_id": "node_952", "improvement_over_parent": null }, "node_954": { "node_id": "node_954", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.56 kg\n Factor of Safety: 1.21\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.56397561521007, "fos_buckling": 1.2148905445716207, "fos_yielding": 1.67886407367546, "deflection": 0.006689126598928009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_953", "improvement_over_parent": null }, "node_955": { "node_id": "node_955", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 271.35 kg\n Factor of Safety: 1.38\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.3466032511413, "fos_buckling": 1.382719264563338, "fos_yielding": 1.9571032887491506, "deflection": 0.0057500496104123154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_954", "improvement_over_parent": null }, "node_956": { "node_id": "node_956", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.69 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.691728131761, "fos_buckling": 1.5152356961947384, "fos_yielding": 2.18878223735171, "deflection": 0.005150282928398071, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_955", "improvement_over_parent": null }, "node_957": { "node_id": "node_957", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_956", "improvement_over_parent": null }, "node_958": { "node_id": "node_958", "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 158.60 kg\n Factor of Safety: 0.68\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.59810772400698, "fos_buckling": 0.6784145390110836, "fos_yielding": 0.8805998406623078, "deflection": 0.009814960042988801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_959": { "node_id": "node_959", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 160.23 kg\n Factor of Safety: 0.67\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.2328939426193, "fos_buckling": 0.6720960735165074, "fos_yielding": 1.2094565915717892, "deflection": 0.009712922604528402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.408)" }, "parent_node_id": "node_958", "improvement_over_parent": null }, "node_960": { "node_id": "node_960", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 191.32 kg\n Factor of Safety: 0.80\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.31728343517437, "fos_buckling": 0.7953979068748646, "fos_yielding": 1.4426079343791822, "deflection": 0.008152184629336588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_959", "improvement_over_parent": null }, "node_961": { "node_id": "node_961", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 0.97\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.48860437211812, "fos_buckling": 0.9742364655247119, "fos_yielding": 1.7879983669089092, "deflection": 0.00658802407526898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_960", "improvement_over_parent": null }, "node_962": { "node_id": "node_962", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.09 kg\n Factor of Safety: 1.18\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.08785871176906, "fos_buckling": 1.1753294927905527, "fos_yielding": 2.1875347176487687, "deflection": 0.005394531967995363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_961", "improvement_over_parent": null }, "node_963": { "node_id": "node_963", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.84 kg\n Factor of Safety: 1.24\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.8429825774431, "fos_buckling": 1.2441994781787054, "fos_yielding": 2.1892154615973656, "deflection": 0.005266903673004329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_962", "improvement_over_parent": null }, "node_964": { "node_id": "node_964", "content": "MODIFICATION: Increase 13 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.08 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.0774842185112, "fos_buckling": 1.5127588288969709, "fos_yielding": 2.1841783578787104, "deflection": 0.005160480416746144, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.603)" }, "parent_node_id": "node_963", "improvement_over_parent": null }, "node_965": { "node_id": "node_965", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_964", "improvement_over_parent": null }, "node_966": { "node_id": "node_966", "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.09 kg\n Factor of Safety: 0.60\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.08511625032898, "fos_buckling": 0.6045252295815148, "fos_yielding": 1.7671237571010574, "deflection": 0.008271851178148404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_967": { "node_id": "node_967", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 242.63 kg\n Factor of Safety: 1.12\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.63379798275113, "fos_buckling": 1.118640551198737, "fos_yielding": 1.7897444012109363, "deflection": 0.006378377204369172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002666)" }, "parent_node_id": "node_966", "improvement_over_parent": null }, "node_968": { "node_id": "node_968", "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 247.71 kg\n Factor of Safety: 1.11\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.71184106101126, "fos_buckling": 1.1126940032571344, "fos_yielding": 1.7772925443292669, "deflection": 0.006340217356869838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.383)" }, "parent_node_id": "node_967", "improvement_over_parent": null }, "node_969": { "node_id": "node_969", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.34\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.3405221145929, "fos_buckling": 1.3356901145178766, "fos_yielding": 2.1743994546661103, "deflection": 0.005196419004568969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_968", "improvement_over_parent": null }, "node_970": { "node_id": "node_970", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_969", "improvement_over_parent": null }, "node_971": { "node_id": "node_971", "content": "INITIAL DESIGN (Trace 137)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 206.07 kg\n Factor of Safety: 0.43\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.0730715125014, "fos_buckling": 0.42988688551790566, "fos_yielding": 1.408710785827612, "deflection": 0.008768196422566462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_972": { "node_id": "node_972", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 230.35 kg\n Factor of Safety: 0.47\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.34738634663924, "fos_buckling": 0.47206168994143455, "fos_yielding": 1.5733307570757844, "deflection": 0.007858361673639772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_971", "improvement_over_parent": null }, "node_973": { "node_id": "node_973", "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 237.66 kg\n Factor of Safety: 0.47\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.65547565396542, "fos_buckling": 0.4723180239450836, "fos_yielding": 1.5735227887399101, "deflection": 0.007858365488398618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.541)" }, "parent_node_id": "node_972", "improvement_over_parent": null }, "node_974": { "node_id": "node_974", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.07 kg\n Factor of Safety: 0.54\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.06756008832326, "fos_buckling": 0.5400075490396231, "fos_yielding": 1.8523525971967587, "deflection": 0.0066865285745429555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_973", "improvement_over_parent": null }, "node_975": { "node_id": "node_975", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 282.87 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.8718160674638, "fos_buckling": 0.9050998223413389, "fos_yielding": 2.1592822295828666, "deflection": 0.005603784022357858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_974", "improvement_over_parent": null }, "node_976": { "node_id": "node_976", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.19 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1851509494906, "fos_buckling": 1.513001154009367, "fos_yielding": 2.185106168694023, "deflection": 0.005158874603141249, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_975", "improvement_over_parent": null }, "node_977": { "node_id": "node_977", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_976", "improvement_over_parent": null }, "node_978": { "node_id": "node_978", "content": "INITIAL DESIGN (Trace 138)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 155.52 kg\n Factor of Safety: 0.76\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.52205468902446, "fos_buckling": 0.7649180781463496, "fos_yielding": 0.9447808820897731, "deflection": 0.01035002828110549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_979": { "node_id": "node_979", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.28 kg\n Factor of Safety: 0.98\n Max Deflection: 7.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.275723069421, "fos_buckling": 0.975402893386349, "fos_yielding": 1.2307985121701703, "deflection": 0.007980556776968961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_978", "improvement_over_parent": null }, "node_980": { "node_id": "node_980", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.38 kg\n Factor of Safety: 1.14\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.3799626637422, "fos_buckling": 1.144488151544728, "fos_yielding": 1.4709068977462014, "deflection": 0.0067034573107666445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_979", "improvement_over_parent": null }, "node_981": { "node_id": "node_981", "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 249.73 kg\n Factor of Safety: 1.14\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.72644287416202, "fos_buckling": 1.1407614645867001, "fos_yielding": 1.466117324743715, "deflection": 0.006200087411863751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.603)" }, "parent_node_id": "node_980", "improvement_over_parent": null }, "node_982": { "node_id": "node_982", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.58 kg\n Factor of Safety: 1.31\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.5837996482647, "fos_buckling": 1.3127904265096972, "fos_yielding": 1.721277886373048, "deflection": 0.005309268021243275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_981", "improvement_over_parent": null }, "node_983": { "node_id": "node_983", "content": "MODIFICATION: Increase 11 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.16 kg\n Factor of Safety: 1.31\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.16248605289206, "fos_buckling": 1.3125034779694666, "fos_yielding": 1.7209016510144926, "deflection": 0.005194523826000608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.597)" }, "parent_node_id": "node_982", "improvement_over_parent": null }, "node_984": { "node_id": "node_984", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4894205576755, "fos_buckling": 1.51425721637817, "fos_yielding": 2.1867101246201877, "deflection": 0.005153086782148056, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.309)" }, "parent_node_id": "node_983", "improvement_over_parent": null }, "node_985": { "node_id": "node_985", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_984", "improvement_over_parent": null }, "node_986": { "node_id": "node_986", "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 210.21 kg\n Factor of Safety: 0.37\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.20788908192736, "fos_buckling": 0.36581121642803494, "fos_yielding": 1.0850677380153346, "deflection": 0.016742349972783996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_987": { "node_id": "node_987", "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 213.97 kg\n Factor of Safety: 0.37\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.97021031991198, "fos_buckling": 0.3657598655315494, "fos_yielding": 1.1256654567509905, "deflection": 0.016615578686623583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.647)" }, "parent_node_id": "node_986", "improvement_over_parent": null }, "node_988": { "node_id": "node_988", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 234.51 kg\n Factor of Safety: 0.73\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.50950258353782, "fos_buckling": 0.7268756898931753, "fos_yielding": 1.7024697097885608, "deflection": 0.008249432204592944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004205)" }, "parent_node_id": "node_987", "improvement_over_parent": null }, "node_989": { "node_id": "node_989", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 238.90 kg\n Factor of Safety: 1.24\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.89772792225614, "fos_buckling": 1.242901525033027, "fos_yielding": 1.724418285276718, "deflection": 0.006514817314754899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002565)" }, "parent_node_id": "node_988", "improvement_over_parent": null }, "node_990": { "node_id": "node_990", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.52888812158506, "fos_buckling": 1.5145024961973588, "fos_yielding": 2.187715532849193, "deflection": 0.005152894636303294, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_989", "improvement_over_parent": null }, "node_991": { "node_id": "node_991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_990", "improvement_over_parent": null }, "node_992": { "node_id": "node_992", "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_993": { "node_id": "node_993", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 183.38 kg\n Factor of Safety: 0.63\n Max Deflection: 3.57e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.3819834912136, "fos_buckling": 0.6263582749593033, "fos_yielding": 1.58514234873538, "deflection": 3573572062588.7925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003619)" }, "parent_node_id": "node_992", "improvement_over_parent": null }, "node_994": { "node_id": "node_994", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 214.98 kg\n Factor of Safety: 0.40\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.98084693570928, "fos_buckling": 0.3975010324059793, "fos_yielding": 0.9443482168897334, "deflection": 0.0150938011371229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005141)" }, "parent_node_id": "node_993", "improvement_over_parent": null }, "node_995": { "node_id": "node_995", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 226.00 kg\n Factor of Safety: 0.40\n Max Deflection: 1.41e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.00138998420684, "fos_buckling": 0.39733776939835863, "fos_yielding": 1.239606331619065, "deflection": 0.0140694346965438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003260)" }, "parent_node_id": "node_994", "improvement_over_parent": null }, "node_996": { "node_id": "node_996", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.35 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.3543242757932, "fos_buckling": 0.44601967864313785, "fos_yielding": 1.4233876332394977, "deflection": 0.012251907596481159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_995", "improvement_over_parent": null }, "node_997": { "node_id": "node_997", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 286.44 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.44211655856935, "fos_buckling": 1.091190094587496, "fos_yielding": 2.1908776773502003, "deflection": 0.0060016136234160205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_996", "improvement_over_parent": null }, "node_998": { "node_id": "node_998", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5600717901438, "fos_buckling": 1.5146714077192482, "fos_yielding": 2.1881556348828646, "deflection": 0.005152379532216749, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_997", "improvement_over_parent": null }, "node_999": { "node_id": "node_999", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_998", "improvement_over_parent": null }, "node_1000": { "node_id": "node_1000", "content": "INITIAL DESIGN (Trace 141)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.46 kg\n Factor of Safety: 0.92\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.4625197573771, "fos_buckling": 0.9226227746112493, "fos_yielding": 2.217561584197869, "deflection": 0.0072847549451281355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1001": { "node_id": "node_1001", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 261.15 kg\n Factor of Safety: 0.92\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.1508910158657, "fos_buckling": 0.9235244069516544, "fos_yielding": 2.1623374815324046, "deflection": 0.006742448117605435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1000", "improvement_over_parent": null }, "node_1002": { "node_id": "node_1002", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 266.73 kg\n Factor of Safety: 1.09\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.7250906808419, "fos_buckling": 1.0924757014289737, "fos_yielding": 2.183234677013186, "deflection": 0.0064169649078482036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1001", "improvement_over_parent": null }, "node_1003": { "node_id": "node_1003", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.68 kg\n Factor of Safety: 1.09\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.682915863084, "fos_buckling": 1.0923979953776701, "fos_yielding": 2.188091373540649, "deflection": 0.006410625698546205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.391)" }, "parent_node_id": "node_1002", "improvement_over_parent": null }, "node_1004": { "node_id": "node_1004", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 292.02 kg\n Factor of Safety: 1.15\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.0240438684609, "fos_buckling": 1.1461170110043313, "fos_yielding": 1.8569531397353456, "deflection": 0.005614159014268202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1003", "improvement_over_parent": null }, "node_1005": { "node_id": "node_1005", "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.29\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.8593618278991, "fos_buckling": 1.2851788147830039, "fos_yielding": 1.8617694389898605, "deflection": 0.0052245534678437055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.664)" }, "parent_node_id": "node_1004", "improvement_over_parent": null }, "node_1006": { "node_id": "node_1006", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1005", "improvement_over_parent": null }, "node_1007": { "node_id": "node_1007", "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.48 kg\n Factor of Safety: 0.87\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.4821535046388, "fos_buckling": 0.8657573375862926, "fos_yielding": 1.6978831795134781, "deflection": 0.007664063410263908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1008": { "node_id": "node_1008", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 221.80 kg\n Factor of Safety: 1.08\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.80120550622206, "fos_buckling": 1.0755863246113448, "fos_yielding": 1.7012444865585032, "deflection": 0.007293909192073428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.362)" }, "parent_node_id": "node_1007", "improvement_over_parent": null }, "node_1009": { "node_id": "node_1009", "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 225.10 kg\n Factor of Safety: 1.11\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.10466836329124, "fos_buckling": 1.1122877976133418, "fos_yielding": 1.7029368382188983, "deflection": 0.00710474937525407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.209)" }, "parent_node_id": "node_1008", "improvement_over_parent": null }, "node_1010": { "node_id": "node_1010", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.54 kg\n Factor of Safety: 1.40\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.53912227169445, "fos_buckling": 1.396599867282562, "fos_yielding": 2.1928886457512826, "deflection": 0.005527738684350329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1009", "improvement_over_parent": null }, "node_1011": { "node_id": "node_1011", "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.78 kg\n Factor of Safety: 1.38\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.7843375186738, "fos_buckling": 1.3815504051753291, "fos_yielding": 2.188025926509081, "deflection": 0.005241311107832823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.397)" }, "parent_node_id": "node_1010", "improvement_over_parent": null }, "node_1012": { "node_id": "node_1012", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.53494970814694, "fos_buckling": 1.5143792831027854, "fos_yielding": 2.187665499631758, "deflection": 0.005152295580158137, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.555)" }, "parent_node_id": "node_1011", "improvement_over_parent": null }, "node_1013": { "node_id": "node_1013", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1012", "improvement_over_parent": null }, "node_1014": { "node_id": "node_1014", "content": "INITIAL DESIGN (Trace 143)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 214.15 kg\n Factor of Safety: 1.06\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.14820691473724, "fos_buckling": 1.055822423382058, "fos_yielding": 1.4908845883269999, "deflection": 0.007258005443334874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1015": { "node_id": "node_1015", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 1.16\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.49057659253035, "fos_buckling": 1.1587267420315137, "fos_yielding": 1.654217607938213, "deflection": 0.0065559400919766855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1014", "improvement_over_parent": null }, "node_1016": { "node_id": "node_1016", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.52 kg\n Factor of Safety: 1.40\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.51839134516933, "fos_buckling": 1.4000010402154694, "fos_yielding": 2.054269796404502, "deflection": 0.005308762160832559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_1015", "improvement_over_parent": null }, "node_1017": { "node_id": "node_1017", "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.96 kg\n Factor of Safety: 1.39\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.9555835945243, "fos_buckling": 1.389104508688703, "fos_yielding": 2.0382809399979664, "deflection": 0.005249077727940587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.381)" }, "parent_node_id": "node_1016", "improvement_over_parent": null }, "node_1018": { "node_id": "node_1018", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 1.51\n Max Deflection: 5.20e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 297.7500342026978, "fos_buckling": 1.5132949354851502, "fos_yielding": 2.201638271727673, "deflection": 0.005201169655391536, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.255)" }, "parent_node_id": "node_1017", "improvement_over_parent": null }, "node_1019": { "node_id": "node_1019", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.71 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.707450064573, "fos_buckling": 1.5134922165279694, "fos_yielding": 2.182395843494668, "deflection": 0.0051589828212633545, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.416)" }, "parent_node_id": "node_1018", "improvement_over_parent": null }, "node_1020": { "node_id": "node_1020", "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.45006545855836, "fos_buckling": 1.5142517136273907, "fos_yielding": 2.1871785212052153, "deflection": 0.0051541121022140755, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.395)" }, "parent_node_id": "node_1019", "improvement_over_parent": null }, "node_1021": { "node_id": "node_1021", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1020", "improvement_over_parent": null }, "node_1022": { "node_id": "node_1022", "content": "INITIAL DESIGN (Trace 144)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 243.24 kg\n Factor of Safety: 1.04\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.24478923396197, "fos_buckling": 1.0449900802795546, "fos_yielding": 1.8128415085969474, "deflection": 0.00666473256276369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1023": { "node_id": "node_1023", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 250.34 kg\n Factor of Safety: 1.08\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.33556535491664, "fos_buckling": 1.0792862405423005, "fos_yielding": 1.8169505227235994, "deflection": 0.006297581202678623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.524)" }, "parent_node_id": "node_1022", "improvement_over_parent": null }, "node_1024": { "node_id": "node_1024", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.42 kg\n Factor of Safety: 1.28\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.4199451736485, "fos_buckling": 1.2828204381560522, "fos_yielding": 2.1850402452107844, "deflection": 0.005248886429661493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_1023", "improvement_over_parent": null }, "node_1025": { "node_id": "node_1025", "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4083023552987, "fos_buckling": 1.5140740091466671, "fos_yielding": 2.1869393113704096, "deflection": 0.005154931417792961, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.608)" }, "parent_node_id": "node_1024", "improvement_over_parent": null }, "node_1026": { "node_id": "node_1026", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1025", "improvement_over_parent": null }, "node_1027": { "node_id": "node_1027", "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.80 kg\n Factor of Safety: 0.63\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.8036757604344, "fos_buckling": 0.6273664509036657, "fos_yielding": 1.1404232500053424, "deflection": 0.01145603681888211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1028": { "node_id": "node_1028", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 178.63 kg\n Factor of Safety: 0.76\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.62816220406037, "fos_buckling": 0.7607805391537225, "fos_yielding": 1.4152954363936412, "deflection": 0.009249180442480935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_1027", "improvement_over_parent": null }, "node_1029": { "node_id": "node_1029", "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 181.71 kg\n Factor of Safety: 0.76\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.71292895835188, "fos_buckling": 0.7606928648399445, "fos_yielding": 1.4291632940543775, "deflection": 0.009145705989863412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.374)" }, "parent_node_id": "node_1028", "improvement_over_parent": null }, "node_1030": { "node_id": "node_1030", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 236.93 kg\n Factor of Safety: 0.95\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.92953504094643, "fos_buckling": 0.9546587866235473, "fos_yielding": 1.8609665691480994, "deflection": 0.007045573209296778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1029", "improvement_over_parent": null }, "node_1031": { "node_id": "node_1031", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n\nPerformance:\n Mass: 257.60 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.60191603981076, "fos_buckling": 1.3243243330555243, "fos_yielding": 1.858623356117981, "deflection": 0.006050412498985003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004104)" }, "parent_node_id": "node_1030", "improvement_over_parent": null }, "node_1032": { "node_id": "node_1032", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3358613561791, "fos_buckling": 1.5137739709405527, "fos_yielding": 2.1863190245471076, "deflection": 0.005156101562071687, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_1031", "improvement_over_parent": null }, "node_1033": { "node_id": "node_1033", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1032", "improvement_over_parent": null }, "node_1034": { "node_id": "node_1034", "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 0.96\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.1767434871002, "fos_buckling": 0.9583993729211976, "fos_yielding": 1.8791237176923032, "deflection": 0.007234582264171295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1035": { "node_id": "node_1035", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 261.97 kg\n Factor of Safety: 1.09\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.96655923470456, "fos_buckling": 1.0919621472226395, "fos_yielding": 2.202188292392624, "deflection": 0.006184220410257603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_1034", "improvement_over_parent": null }, "node_1036": { "node_id": "node_1036", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.99 kg\n Factor of Safety: 1.09\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.99366207451203, "fos_buckling": 1.0918394101014215, "fos_yielding": 2.2136966731110927, "deflection": 0.00613867276377275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.220)" }, "parent_node_id": "node_1035", "improvement_over_parent": null }, "node_1037": { "node_id": "node_1037", "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.15233920640117, "fos_buckling": 1.091751901081264, "fos_yielding": 2.2023425062598174, "deflection": 0.00611461271897059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.205)" }, "parent_node_id": "node_1036", "improvement_over_parent": null }, "node_1038": { "node_id": "node_1038", "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.30 kg\n Factor of Safety: 1.09\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.2975385556586, "fos_buckling": 1.0908836998022908, "fos_yielding": 2.2058651910697367, "deflection": 0.006041357658067223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.595)" }, "parent_node_id": "node_1037", "improvement_over_parent": null }, "node_1039": { "node_id": "node_1039", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.6386665610355, "fos_buckling": 1.5112929429744288, "fos_yielding": 2.2032512820604424, "deflection": 0.005194749100812825, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1038", "improvement_over_parent": null }, "node_1040": { "node_id": "node_1040", "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0070)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 307.18 kg\n Factor of Safety: 1.51\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 307.18332255266625, "fos_buckling": 1.5125073870325259, "fos_yielding": 2.2234348176180196, "deflection": 0.005123497310086032, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.379)" }, "parent_node_id": "node_1039", "improvement_over_parent": null }, "node_1041": { "node_id": "node_1041", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1040", "improvement_over_parent": null }, "node_1042": { "node_id": "node_1042", "content": "INITIAL DESIGN (Trace 147)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 0.88\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.8572421882442, "fos_buckling": 0.88112301183962, "fos_yielding": 1.465186827979807, "deflection": 0.008317723182170276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1043": { "node_id": "node_1043", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 209.74 kg\n Factor of Safety: 0.89\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.7377372584018, "fos_buckling": 0.8882726896730533, "fos_yielding": 1.3493983631636337, "deflection": 0.00782048286213253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002898)" }, "parent_node_id": "node_1042", "improvement_over_parent": null }, "node_1044": { "node_id": "node_1044", "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 217.34 kg\n Factor of Safety: 1.06\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.33546970628785, "fos_buckling": 1.0592338284773763, "fos_yielding": 1.349313137399658, "deflection": 0.007343776623611036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.294)" }, "parent_node_id": "node_1043", "improvement_over_parent": null }, "node_1045": { "node_id": "node_1045", "content": "MODIFICATION: Increase 11 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 227.33 kg\n Factor of Safety: 1.06\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.3316999405992, "fos_buckling": 1.057377903860281, "fos_yielding": 1.346948953590055, "deflection": 0.00722809042602629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.621)" }, "parent_node_id": "node_1044", "improvement_over_parent": null }, "node_1046": { "node_id": "node_1046", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0059)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 246.29 kg\n Factor of Safety: 1.06\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.28636518537056, "fos_buckling": 1.0562467576993855, "fos_yielding": 1.3455080343763912, "deflection": 0.00635483195210582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003738)" }, "parent_node_id": "node_1045", "improvement_over_parent": null }, "node_1047": { "node_id": "node_1047", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 315.58 kg\n Factor of Safety: 1.32\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 315.5842355639943, "fos_buckling": 1.3204034837838492, "fos_yielding": 1.73397151827679, "deflection": 0.004981369629309002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_1046", "improvement_over_parent": null }, "node_1048": { "node_id": "node_1048", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1047", "improvement_over_parent": null }, "node_1049": { "node_id": "node_1049", "content": "INITIAL DESIGN (Trace 148)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.91 kg\n Factor of Safety: 0.98\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.90840673229795, "fos_buckling": 0.983642282954526, "fos_yielding": 1.6506688155342748, "deflection": 0.00671078958856012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1050": { "node_id": "node_1050", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.88 kg\n Factor of Safety: 1.20\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.88264059473926, "fos_buckling": 1.2044606165251779, "fos_yielding": 2.116674668845938, "deflection": 0.0052511401147599624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_1049", "improvement_over_parent": null }, "node_1051": { "node_id": "node_1051", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.58 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.58190282304, "fos_buckling": 1.2301592316858718, "fos_yielding": 2.1217899751336815, "deflection": 0.005226664948880367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.192)" }, "parent_node_id": "node_1050", "improvement_over_parent": null }, "node_1052": { "node_id": "node_1052", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38615880218055, "fos_buckling": 1.5139192516317177, "fos_yielding": 2.1866980667523896, "deflection": 0.005155270685670511, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1051", "improvement_over_parent": null }, "node_1053": { "node_id": "node_1053", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1052", "improvement_over_parent": null }, "node_1054": { "node_id": "node_1054", "content": "INITIAL DESIGN (Trace 149)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 220.45 kg\n Factor of Safety: 0.72\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.4495570324716, "fos_buckling": 0.7167321423643169, "fos_yielding": 1.6783971113601412, "deflection": 0.009515412336450813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1055": { "node_id": "node_1055", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.26 kg\n Factor of Safety: 0.76\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.26195523628184, "fos_buckling": 0.7598657521630529, "fos_yielding": 1.7777666639734722, "deflection": 0.008825384700233122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.379)" }, "parent_node_id": "node_1054", "improvement_over_parent": null }, "node_1056": { "node_id": "node_1056", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 238.73 kg\n Factor of Safety: 0.74\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.73083281387312, "fos_buckling": 0.7401805620003893, "fos_yielding": 1.7825102987744192, "deflection": 0.008146262770790856, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003084)" }, "parent_node_id": "node_1055", "improvement_over_parent": null }, "node_1057": { "node_id": "node_1057", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 241.77 kg\n Factor of Safety: 0.76\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.76571792874284, "fos_buckling": 0.7581607202346543, "fos_yielding": 1.7837300274829746, "deflection": 0.007876565994883263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.181)" }, "parent_node_id": "node_1056", "improvement_over_parent": null }, "node_1058": { "node_id": "node_1058", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.12780219915805, "fos_buckling": 0.891300966597008, "fos_yielding": 2.1596821100123633, "deflection": 0.006516664948184514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_1057", "improvement_over_parent": null }, "node_1059": { "node_id": "node_1059", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 298.70 kg\n Factor of Safety: 1.45\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.7020018641343, "fos_buckling": 1.4512791854774023, "fos_yielding": 2.1874995678094353, "deflection": 0.005223377545432151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1058", "improvement_over_parent": null }, "node_1060": { "node_id": "node_1060", "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.44284266357647, "fos_buckling": 1.513764409373163, "fos_yielding": 2.187214895751739, "deflection": 0.005154363199451176, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.420)" }, "parent_node_id": "node_1059", "improvement_over_parent": null }, "node_1061": { "node_id": "node_1061", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1060", "improvement_over_parent": null }, "node_1062": { "node_id": "node_1062", "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 213.09 kg\n Factor of Safety: 0.59\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.08576062916967, "fos_buckling": 0.5921027402904879, "fos_yielding": 1.6730426490701327, "deflection": 0.009599218105729525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1063": { "node_id": "node_1063", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 236.86 kg\n Factor of Safety: 0.65\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.85552172012598, "fos_buckling": 0.6521257467719532, "fos_yielding": 1.8578221280289007, "deflection": 0.008642602835480344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1062", "improvement_over_parent": null }, "node_1064": { "node_id": "node_1064", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 241.58 kg\n Factor of Safety: 1.18\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.57946859515272, "fos_buckling": 1.179598341036252, "fos_yielding": 1.8800227526260602, "deflection": 0.006537946290890442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002777)" }, "parent_node_id": "node_1063", "improvement_over_parent": null }, "node_1065": { "node_id": "node_1065", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 285.34 kg\n Factor of Safety: 1.36\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.3422026237586, "fos_buckling": 1.3624576973557192, "fos_yielding": 2.216525585909379, "deflection": 0.005551543868348089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_1064", "improvement_over_parent": null }, "node_1066": { "node_id": "node_1066", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 292.80 kg\n Factor of Safety: 1.33\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.804295040624, "fos_buckling": 1.329166993008589, "fos_yielding": 2.2123941347649883, "deflection": 0.005271828716069286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.414)" }, "parent_node_id": "node_1065", "improvement_over_parent": null }, "node_1067": { "node_id": "node_1067", "content": "MODIFICATION: Increase 13 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.37 kg\n Factor of Safety: 1.24\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.3729734739622, "fos_buckling": 1.2373890770338878, "fos_yielding": 2.1990894425165166, "deflection": 0.005246622103450984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.418)" }, "parent_node_id": "node_1066", "improvement_over_parent": null }, "node_1068": { "node_id": "node_1068", "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.32\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.7264208225458, "fos_buckling": 1.3196858787291024, "fos_yielding": 2.175561423732353, "deflection": 0.005196316247353421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.572)" }, "parent_node_id": "node_1067", "improvement_over_parent": null }, "node_1069": { "node_id": "node_1069", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1068", "improvement_over_parent": null }, "node_1070": { "node_id": "node_1070", "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 0.36\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.23769760083272, "fos_buckling": 0.35750914563131314, "fos_yielding": 1.1456116879096976, "deflection": 0.012754653578325332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1071": { "node_id": "node_1071", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 151.97 kg\n Factor of Safety: 0.36\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.96609717754308, "fos_buckling": 0.35733058198400885, "fos_yielding": 1.1454829182363457, "deflection": 0.011404913955612545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.001642)" }, "parent_node_id": "node_1070", "improvement_over_parent": null }, "node_1072": { "node_id": "node_1072", "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 160.82 kg\n Factor of Safety: 0.36\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.81736082289729, "fos_buckling": 0.3566276138856627, "fos_yielding": 1.1449750080507242, "deflection": 0.011215609131654572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.600)" }, "parent_node_id": "node_1071", "improvement_over_parent": null }, "node_1073": { "node_id": "node_1073", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0052)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n\nPerformance:\n Mass: 163.77 kg\n Factor of Safety: 0.36\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.77095360996373, "fos_buckling": 0.35639365435875797, "fos_yielding": 1.1448056228743415, "deflection": 0.010758159553688635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.225)" }, "parent_node_id": "node_1072", "improvement_over_parent": null }, "node_1074": { "node_id": "node_1074", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n\nPerformance:\n Mass: 206.91 kg\n Factor of Safety: 0.44\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.90611703632513, "fos_buckling": 0.435838613206831, "fos_yielding": 1.4457453995634146, "deflection": 0.008535504301699892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_1073", "improvement_over_parent": null }, "node_1075": { "node_id": "node_1075", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.03 kg\n Factor of Safety: 0.74\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.02961391318948, "fos_buckling": 0.735619696602301, "fos_yielding": 1.6888462664670474, "deflection": 0.007132687916748499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003856)" }, "parent_node_id": "node_1074", "improvement_over_parent": null }, "node_1076": { "node_id": "node_1076", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0067)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 242.88 kg\n Factor of Safety: 1.10\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.8788416683216, "fos_buckling": 1.098063030962448, "fos_yielding": 1.712916191020627, "deflection": 0.006371655574910005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003422)" }, "parent_node_id": "node_1075", "improvement_over_parent": null }, "node_1077": { "node_id": "node_1077", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0087)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 310.77 kg\n Factor of Safety: 1.37\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 310.76594861597727, "fos_buckling": 1.3711487332630823, "fos_yielding": 2.191553221541224, "deflection": 0.005003508360809308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_1076", "improvement_over_parent": null }, "node_1078": { "node_id": "node_1078", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1077", "improvement_over_parent": null }, "node_1079": { "node_id": "node_1079", "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 225.66 kg\n Factor of Safety: 0.71\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.6564521804632, "fos_buckling": 0.713089486145928, "fos_yielding": 1.6521015955779341, "deflection": 0.008496666995979552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1080": { "node_id": "node_1080", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 230.42 kg\n Factor of Safety: 0.72\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.41703279938028, "fos_buckling": 0.7159009543101071, "fos_yielding": 1.672969595959104, "deflection": 0.008393836395958192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.550)" }, "parent_node_id": "node_1079", "improvement_over_parent": null }, "node_1081": { "node_id": "node_1081", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.80 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.80322543889326, "fos_buckling": 0.8893247659408329, "fos_yielding": 2.1589655806379615, "deflection": 0.006519207205984191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_1080", "improvement_over_parent": null }, "node_1082": { "node_id": "node_1082", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3774251038695, "fos_buckling": 1.5139549109731736, "fos_yielding": 2.1866888808502414, "deflection": 0.005155315000956526, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1081", "improvement_over_parent": null }, "node_1083": { "node_id": "node_1083", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1082", "improvement_over_parent": null }, "node_1084": { "node_id": "node_1084", "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 265.28 kg\n Factor of Safety: 0.73\n Max Deflection: 1.73e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.2792511115152, "fos_buckling": 0.7331878852584193, "fos_yielding": 1.4347666396814032, "deflection": 0.017340179546651343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1085": { "node_id": "node_1085", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 270.85 kg\n Factor of Safety: 1.04\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.8534507764914, "fos_buckling": 1.0410178393808305, "fos_yielding": 1.7607090257841806, "deflection": 0.008355350577746052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1084", "improvement_over_parent": null }, "node_1086": { "node_id": "node_1086", "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.46 kg\n Factor of Safety: 1.08\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.4621786542878, "fos_buckling": 1.0772036345096225, "fos_yielding": 1.7607090257841806, "deflection": 0.00824082445558926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.397)" }, "parent_node_id": "node_1085", "improvement_over_parent": null }, "node_1087": { "node_id": "node_1087", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.08\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.26643463342833, "fos_buckling": 1.0763240775381282, "fos_yielding": 1.7607090257841806, "deflection": 0.0057236001818831515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1086", "improvement_over_parent": null }, "node_1088": { "node_id": "node_1088", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 304.30 kg\n Factor of Safety: 1.25\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.2982013186581, "fos_buckling": 1.2485117190355712, "fos_yielding": 1.624179812802634, "deflection": 0.005352644465420166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1087", "improvement_over_parent": null }, "node_1089": { "node_id": "node_1089", "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0084)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 313.21 kg\n Factor of Safety: 1.25\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 313.2124359155993, "fos_buckling": 1.2487279411943588, "fos_yielding": 1.6244610946360591, "deflection": 0.004981045092996882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.587)" }, "parent_node_id": "node_1088", "improvement_over_parent": null }, "node_1090": { "node_id": "node_1090", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1089", "improvement_over_parent": null }, "node_1091": { "node_id": "node_1091", "content": "INITIAL DESIGN (Trace 154)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 191.90 kg\n Factor of Safety: 0.56\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.90474755333454, "fos_buckling": 0.5638680510641079, "fos_yielding": 1.5855333797958773, "deflection": 0.009153603959892858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1092": { "node_id": "node_1092", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 0.56\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.53770542697575, "fos_buckling": 0.5633296652407453, "fos_yielding": 1.5853438279167817, "deflection": 0.007870789465800228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003178)" }, "parent_node_id": "node_1091", "improvement_over_parent": null }, "node_1093": { "node_id": "node_1093", "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 207.84 kg\n Factor of Safety: 0.56\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.83980611851425, "fos_buckling": 0.5633296652407452, "fos_yielding": 1.8175940663172503, "deflection": 0.007799261007793676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.466)" }, "parent_node_id": "node_1092", "improvement_over_parent": null }, "node_1094": { "node_id": "node_1094", "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 211.44 kg\n Factor of Safety: 0.56\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.4405680852687, "fos_buckling": 0.5634830161385538, "fos_yielding": 1.8175373398865333, "deflection": 0.007742543370929817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.295)" }, "parent_node_id": "node_1093", "improvement_over_parent": null }, "node_1095": { "node_id": "node_1095", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n\nPerformance:\n Mass: 226.43 kg\n Factor of Safety: 1.06\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.43147730096146, "fos_buckling": 1.059410131833299, "fos_yielding": 1.8385923398253707, "deflection": 0.0069265912389001975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003224)" }, "parent_node_id": "node_1094", "improvement_over_parent": null }, "node_1096": { "node_id": "node_1096", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0054)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 251.81 kg\n Factor of Safety: 1.17\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.80664878478046, "fos_buckling": 1.1668727349683092, "fos_yielding": 2.043555964291231, "deflection": 0.006238928125796823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1095", "improvement_over_parent": null }, "node_1097": { "node_id": "node_1097", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0067)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 306.44 kg\n Factor of Safety: 1.39\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.4384333695744, "fos_buckling": 1.3903620707057438, "fos_yielding": 2.484172512402314, "deflection": 0.0051448720446161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1096", "improvement_over_parent": null }, "node_1098": { "node_id": "node_1098", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1097", "improvement_over_parent": null }, "node_1099": { "node_id": "node_1099", "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 198.23 kg\n Factor of Safety: 0.68\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.22685594261372, "fos_buckling": 0.6832881243072092, "fos_yielding": 1.5523530770344178, "deflection": 0.00789312370225868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1100": { "node_id": "node_1100", "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.99 kg\n Factor of Safety: 0.68\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.98754713500082, "fos_buckling": 0.6830422294212909, "fos_yielding": 1.5522861666748324, "deflection": 0.007766095974298025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.399)" }, "parent_node_id": "node_1099", "improvement_over_parent": null }, "node_1101": { "node_id": "node_1101", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 242.06 kg\n Factor of Safety: 0.79\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.05977823035417, "fos_buckling": 0.7949478262377425, "fos_yielding": 1.8494274552934613, "deflection": 0.006530170104876617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_1100", "improvement_over_parent": null }, "node_1102": { "node_id": "node_1102", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 259.42 kg\n Factor of Safety: 1.33\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.4213451621792, "fos_buckling": 1.3321720234220715, "fos_yielding": 1.8716733577454316, "deflection": 0.006008773225446197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003775)" }, "parent_node_id": "node_1101", "improvement_over_parent": null }, "node_1103": { "node_id": "node_1103", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3499013690596, "fos_buckling": 1.513888361674605, "fos_yielding": 2.1864198839944997, "deflection": 0.005155835570920709, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_1102", "improvement_over_parent": null }, "node_1104": { "node_id": "node_1104", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1103", "improvement_over_parent": null }, "node_1105": { "node_id": "node_1105", "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 226.77 kg\n Factor of Safety: 0.96\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.7687033232689, "fos_buckling": 0.9606986112400481, "fos_yielding": 1.8407682505860856, "deflection": 0.007349053011174742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1106": { "node_id": "node_1106", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.18 kg\n Factor of Safety: 1.13\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.17928292352684, "fos_buckling": 1.1340252758870937, "fos_yielding": 2.2388567359032816, "deflection": 0.0060539291889320735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1105", "improvement_over_parent": null }, "node_1107": { "node_id": "node_1107", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.06 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.0640541773345, "fos_buckling": 1.1341516464965178, "fos_yielding": 2.224012682317839, "deflection": 0.006028137401793185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.484)" }, "parent_node_id": "node_1106", "improvement_over_parent": null }, "node_1108": { "node_id": "node_1108", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2875745584825, "fos_buckling": 1.513511446695876, "fos_yielding": 2.1859088040510963, "deflection": 0.005156961348685483, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1107", "improvement_over_parent": null }, "node_1109": { "node_id": "node_1109", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1108", "improvement_over_parent": null }, "node_1110": { "node_id": "node_1110", "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 209.48 kg\n Factor of Safety: 0.39\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.47928377738413, "fos_buckling": 0.38503236962503057, "fos_yielding": 1.1945506929490302, "deflection": 0.014928343640851983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1111": { "node_id": "node_1111", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.04 kg\n Factor of Safety: 0.38\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.03805064675805, "fos_buckling": 0.3849014239467377, "fos_yielding": 1.1941739263947786, "deflection": 0.01493418739953155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.311)" }, "parent_node_id": "node_1110", "improvement_over_parent": null }, "node_1112": { "node_id": "node_1112", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 0.38\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.34779816334031, "fos_buckling": 0.3844909697887509, "fos_yielding": 1.1929928168608475, "deflection": 0.012867126557642888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003633)" }, "parent_node_id": "node_1111", "improvement_over_parent": null }, "node_1113": { "node_id": "node_1113", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 250.15 kg\n Factor of Safety: 1.35\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.15004399583447, "fos_buckling": 1.347338169039135, "fos_yielding": 1.8298602797413066, "deflection": 0.006296073419384737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004484)" }, "parent_node_id": "node_1112", "improvement_over_parent": null }, "node_1114": { "node_id": "node_1114", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 299.19 kg\n Factor of Safety: 1.56\n Max Deflection: 5.28e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.1862128932996, "fos_buckling": 1.5592284221277062, "fos_yielding": 2.185642233555801, "deflection": 0.005282655220012475, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1113", "improvement_over_parent": null }, "node_1115": { "node_id": "node_1115", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2721706519467, "fos_buckling": 1.5135009219376696, "fos_yielding": 2.1857519658062854, "deflection": 0.00515720410396764, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.209)" }, "parent_node_id": "node_1114", "improvement_over_parent": null }, "node_1116": { "node_id": "node_1116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1115", "improvement_over_parent": null }, "node_1117": { "node_id": "node_1117", "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 205.75 kg\n Factor of Safety: 0.78\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.7545452365484, "fos_buckling": 0.783286909750264, "fos_yielding": 1.99631245159028, "deflection": 0.008490136335084109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1118": { "node_id": "node_1118", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 210.32 kg\n Factor of Safety: 0.78\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.32331127116245, "fos_buckling": 0.7831534263841728, "fos_yielding": 1.9957225450341283, "deflection": 0.008491767105026516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.471)" }, "parent_node_id": "node_1117", "improvement_over_parent": null }, "node_1119": { "node_id": "node_1119", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.65 kg\n Factor of Safety: 0.92\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.6461113830673, "fos_buckling": 0.920272614392643, "fos_yielding": 2.394776897616989, "deflection": 0.007081606680084413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1118", "improvement_over_parent": null }, "node_1120": { "node_id": "node_1120", "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 258.62 kg\n Factor of Safety: 1.05\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.6170217110557, "fos_buckling": 1.0528173350836836, "fos_yielding": 2.394776897616989, "deflection": 0.006670123736085154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.326)" }, "parent_node_id": "node_1119", "improvement_over_parent": null }, "node_1121": { "node_id": "node_1121", "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.47 kg\n Factor of Safety: 1.08\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.4651718321809, "fos_buckling": 1.0811527427908505, "fos_yielding": 2.394776897616989, "deflection": 0.006317492098066193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.580)" }, "parent_node_id": "node_1120", "improvement_over_parent": null }, "node_1122": { "node_id": "node_1122", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 280.15 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.1535430906695, "fos_buckling": 1.1345599991403168, "fos_yielding": 2.2247859967041705, "deflection": 0.006026333571231111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1121", "improvement_over_parent": null }, "node_1123": { "node_id": "node_1123", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.37706347181745, "fos_buckling": 1.5138048927851635, "fos_yielding": 2.186673215549467, "deflection": 0.0051553087051474655, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1122", "improvement_over_parent": null }, "node_1124": { "node_id": "node_1124", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1123", "improvement_over_parent": null }, "node_1125": { "node_id": "node_1125", "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 139.52 kg\n Factor of Safety: 0.63\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.51909022499922, "fos_buckling": 0.6307120895495296, "fos_yielding": 1.0524134998518204, "deflection": 0.012003925970413902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1126": { "node_id": "node_1126", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 140.37 kg\n Factor of Safety: 0.62\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.37138520651322, "fos_buckling": 0.6184211696762141, "fos_yielding": 1.1182776162498254, "deflection": 0.011921848771490048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.227)" }, "parent_node_id": "node_1125", "improvement_over_parent": null }, "node_1127": { "node_id": "node_1127", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 157.10 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.09835013492142, "fos_buckling": 0.6854298579275973, "fos_yielding": 1.2510572000642608, "deflection": 0.010663724716314332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1126", "improvement_over_parent": null }, "node_1128": { "node_id": "node_1128", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 193.63 kg\n Factor of Safety: 0.83\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.63003804962182, "fos_buckling": 0.8268154030324039, "fos_yielding": 1.5406962718048622, "deflection": 0.008671758752682753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1127", "improvement_over_parent": null }, "node_1129": { "node_id": "node_1129", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 209.66 kg\n Factor of Safety: 1.11\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.65982521574978, "fos_buckling": 1.1112056410061009, "fos_yielding": 1.514570307965483, "deflection": 0.007406407535646757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003210)" }, "parent_node_id": "node_1128", "improvement_over_parent": null }, "node_1130": { "node_id": "node_1130", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 266.77 kg\n Factor of Safety: 1.36\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.7660906233483, "fos_buckling": 1.3634418720259787, "fos_yielding": 1.9245894004612554, "deflection": 0.005846358482850347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_1129", "improvement_over_parent": null }, "node_1131": { "node_id": "node_1131", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.67 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.6684075227149, "fos_buckling": 1.515175435489024, "fos_yielding": 2.1889769641624413, "deflection": 0.005150335497438687, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1130", "improvement_over_parent": null }, "node_1132": { "node_id": "node_1132", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1131", "improvement_over_parent": null }, "node_1133": { "node_id": "node_1133", "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 178.04 kg\n Factor of Safety: 0.82\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.04400718806477, "fos_buckling": 0.8220259199212364, "fos_yielding": 1.2362981342534967, "deflection": 0.008765699443034219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1134": { "node_id": "node_1134", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 202.89 kg\n Factor of Safety: 0.93\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.88694960545584, "fos_buckling": 0.9259812182660253, "fos_yielding": 1.4094974779720977, "deflection": 0.007706133363389421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1133", "improvement_over_parent": null }, "node_1135": { "node_id": "node_1135", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 0.93\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.1496738394675, "fos_buckling": 0.9343557480164357, "fos_yielding": 1.394433223619366, "deflection": 0.007586678569700394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.522)" }, "parent_node_id": "node_1134", "improvement_over_parent": null }, "node_1136": { "node_id": "node_1136", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 205.42 kg\n Factor of Safety: 0.93\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.42039499164733, "fos_buckling": 0.933650576889642, "fos_yielding": 1.5205714623443052, "deflection": 0.007514418693089815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.256)" }, "parent_node_id": "node_1135", "improvement_over_parent": null }, "node_1137": { "node_id": "node_1137", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.51 kg\n Factor of Safety: 1.04\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.50935443921853, "fos_buckling": 1.0395747751579016, "fos_yielding": 1.7124930600362132, "deflection": 0.0066812338159088006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_1136", "improvement_over_parent": null }, "node_1138": { "node_id": "node_1138", "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 234.94 kg\n Factor of Safety: 1.23\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.94148482033364, "fos_buckling": 1.2254374983128389, "fos_yielding": 1.6960982183904956, "deflection": 0.006622393549031286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.575)" }, "parent_node_id": "node_1137", "improvement_over_parent": null }, "node_1139": { "node_id": "node_1139", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.22597919587963, "fos_buckling": 1.513341214664928, "fos_yielding": 2.1856535089761118, "deflection": 0.005157827060490914, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1138", "improvement_over_parent": null }, "node_1140": { "node_id": "node_1140", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1139", "improvement_over_parent": null }, "node_1141": { "node_id": "node_1141", "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 134.20 kg\n Factor of Safety: 0.48\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.2011690048993, "fos_buckling": 0.4848411300805603, "fos_yielding": 1.0802975135269457, "deflection": 0.014674712971595354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1142": { "node_id": "node_1142", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n\nPerformance:\n Mass: 142.96 kg\n Factor of Safety: 0.47\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.9603572263593, "fos_buckling": 0.47074966337640084, "fos_yielding": 1.0459372291027542, "deflection": 0.013384532016936236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.001955)" }, "parent_node_id": "node_1141", "improvement_over_parent": null }, "node_1143": { "node_id": "node_1143", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 174.91 kg\n Factor of Safety: 0.57\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.90767357671723, "fos_buckling": 0.5656781985825872, "fos_yielding": 1.2786762026696512, "deflection": 0.010960276311162628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1142", "improvement_over_parent": null }, "node_1144": { "node_id": "node_1144", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n\nPerformance:\n Mass: 176.96 kg\n Factor of Safety: 0.57\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.9633725219633, "fos_buckling": 0.5667313334506545, "fos_yielding": 1.286361460991689, "deflection": 0.010896591997448902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.248)" }, "parent_node_id": "node_1143", "improvement_over_parent": null }, "node_1145": { "node_id": "node_1145", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 221.05 kg\n Factor of Safety: 0.69\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.05339481783915, "fos_buckling": 0.690488954083308, "fos_yielding": 1.6052640754153338, "deflection": 0.008744996202768007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1144", "improvement_over_parent": null }, "node_1146": { "node_id": "node_1146", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 249.74 kg\n Factor of Safety: 0.77\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.73556454208017, "fos_buckling": 0.7672572679739096, "fos_yielding": 1.812382984468023, "deflection": 0.007753170448672343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_1145", "improvement_over_parent": null }, "node_1147": { "node_id": "node_1147", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 254.41 kg\n Factor of Safety: 1.31\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.4075234812283, "fos_buckling": 1.3105298743759637, "fos_yielding": 1.8357265075805715, "deflection": 0.006124934930126203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002744)" }, "parent_node_id": "node_1146", "improvement_over_parent": null }, "node_1148": { "node_id": "node_1148", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.51368516567396, "fos_buckling": 1.514420558757807, "fos_yielding": 2.1876120821179086, "deflection": 0.005153185890599081, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1147", "improvement_over_parent": null }, "node_1149": { "node_id": "node_1149", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1148", "improvement_over_parent": null }, "node_1150": { "node_id": "node_1150", "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1151": { "node_id": "node_1151", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 252.86 kg\n Factor of Safety: 0.53\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.86097549856143, "fos_buckling": 0.5335007043619663, "fos_yielding": 1.8485887758671538, "deflection": 0.007393609829850978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1150", "improvement_over_parent": null }, "node_1152": { "node_id": "node_1152", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 270.66 kg\n Factor of Safety: 1.09\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.6632278103197, "fos_buckling": 1.0919453499999527, "fos_yielding": 2.1609798589060922, "deflection": 0.006191329974725463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003383)" }, "parent_node_id": "node_1151", "improvement_over_parent": null }, "node_1153": { "node_id": "node_1153", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0053)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 274.58 kg\n Factor of Safety: 1.09\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.5810300502706, "fos_buckling": 1.091786595119855, "fos_yielding": 2.150135209470124, "deflection": 0.006164206329799263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.245)" }, "parent_node_id": "node_1152", "improvement_over_parent": null }, "node_1154": { "node_id": "node_1154", "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0053)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 282.58 kg\n Factor of Safety: 1.09\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.5824977713779, "fos_buckling": 1.0914625077169826, "fos_yielding": 2.1836084823814783, "deflection": 0.006065298788475093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.493)" }, "parent_node_id": "node_1153", "improvement_over_parent": null }, "node_1155": { "node_id": "node_1155", "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0065)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 287.00 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.0032480029746, "fos_buckling": 1.0912835343880876, "fos_yielding": 2.1746944576818183, "deflection": 0.006048380258020281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.235)" }, "parent_node_id": "node_1154", "improvement_over_parent": null }, "node_1156": { "node_id": "node_1156", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0065)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.12 kg\n Factor of Safety: 1.26\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.12120323454906, "fos_buckling": 1.2637268249048783, "fos_yielding": 2.1720682084511416, "deflection": 0.005212047842086656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1155", "improvement_over_parent": null }, "node_1157": { "node_id": "node_1157", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1156", "improvement_over_parent": null }, "node_1158": { "node_id": "node_1158", "content": "INITIAL DESIGN (Trace 163)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 214.64 kg\n Factor of Safety: 0.38\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.63519500976224, "fos_buckling": 0.38216624755804224, "fos_yielding": 1.452237109325734, "deflection": 0.00884634393031276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1159": { "node_id": "node_1159", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 240.41 kg\n Factor of Safety: 0.42\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.4079580516103, "fos_buckling": 0.4211626770309521, "fos_yielding": 1.627373147965593, "deflection": 0.007918624708015638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_1158", "improvement_over_parent": null }, "node_1160": { "node_id": "node_1160", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 241.99 kg\n Factor of Safety: 0.48\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.98977704868045, "fos_buckling": 0.48006024734735636, "fos_yielding": 1.6271589080746316, "deflection": 0.007645668789749629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.179)" }, "parent_node_id": "node_1159", "improvement_over_parent": null }, "node_1161": { "node_id": "node_1161", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 275.27 kg\n Factor of Safety: 0.53\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.27018349471825, "fos_buckling": 0.5319707323146462, "fos_yielding": 1.8483987891553644, "deflection": 0.00674628745693058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1160", "improvement_over_parent": null }, "node_1162": { "node_id": "node_1162", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.78 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.78338964437137, "fos_buckling": 0.531970732314646, "fos_yielding": 1.8483987891553644, "deflection": 0.006700740708179762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.393)" }, "parent_node_id": "node_1161", "improvement_over_parent": null }, "node_1163": { "node_id": "node_1163", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.57 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.57401718678534, "fos_buckling": 1.5148692241639174, "fos_yielding": 2.1881494746471515, "deflection": 0.0051519050040173715, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1162", "improvement_over_parent": null }, "node_1164": { "node_id": "node_1164", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1163", "improvement_over_parent": null }, "node_1165": { "node_id": "node_1165", "content": "INITIAL DESIGN (Trace 164)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 199.66 kg\n Factor of Safety: 0.81\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.6566791209018, "fos_buckling": 0.8145332147448311, "fos_yielding": 1.490957828792097, "deflection": 0.008463998010732587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1166": { "node_id": "node_1166", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.74 kg\n Factor of Safety: 0.81\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.74102099973194, "fos_buckling": 0.8145332147448311, "fos_yielding": 1.5460188545650217, "deflection": 0.008463998010732587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.479)" }, "parent_node_id": "node_1165", "improvement_over_parent": null }, "node_1167": { "node_id": "node_1167", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 1.13\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.8027129558078, "fos_buckling": 1.1301755089903442, "fos_yielding": 1.544172466268954, "deflection": 0.007265434117159273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003025)" }, "parent_node_id": "node_1166", "improvement_over_parent": null }, "node_1168": { "node_id": "node_1168", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 236.53 kg\n Factor of Safety: 1.23\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.5323622495253, "fos_buckling": 1.2325021140643084, "fos_yielding": 1.707449685820184, "deflection": 0.006578675792700002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1167", "improvement_over_parent": null }, "node_1169": { "node_id": "node_1169", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5444254428244, "fos_buckling": 1.514630350611643, "fos_yielding": 2.1878433010406306, "deflection": 0.005152558916892799, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1168", "improvement_over_parent": null }, "node_1170": { "node_id": "node_1170", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1169", "improvement_over_parent": null }, "node_1171": { "node_id": "node_1171", "content": "INITIAL DESIGN (Trace 165)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.29 kg\n Factor of Safety: 1.36\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.29444269608877, "fos_buckling": 1.3637006396827462, "fos_yielding": 2.20406150471156, "deflection": 0.00533365958812572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1172": { "node_id": "node_1172", "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.20 kg\n Factor of Safety: 1.40\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.19864227389826, "fos_buckling": 1.400797416979606, "fos_yielding": 2.200973855678355, "deflection": 0.005266819600352307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.374)" }, "parent_node_id": "node_1171", "improvement_over_parent": null }, "node_1173": { "node_id": "node_1173", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.94 kg\n Factor of Safety: 1.40\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.93745447220147, "fos_buckling": 1.3999662844566272, "fos_yielding": 2.1872486554025303, "deflection": 0.005238230049770461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.287)" }, "parent_node_id": "node_1172", "improvement_over_parent": null }, "node_1174": { "node_id": "node_1174", "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4201004853039, "fos_buckling": 1.5140167876139847, "fos_yielding": 2.186909058204504, "deflection": 0.0051547308593852025, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.517)" }, "parent_node_id": "node_1173", "improvement_over_parent": null }, "node_1175": { "node_id": "node_1175", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1174", "improvement_over_parent": null }, "node_1176": { "node_id": "node_1176", "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.59 kg\n Factor of Safety: 0.98\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.58630681037545, "fos_buckling": 0.9802607409888527, "fos_yielding": 1.7790568394186381, "deflection": 0.006605757849041044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1177": { "node_id": "node_1177", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 246.68 kg\n Factor of Safety: 0.98\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.6839938436491, "fos_buckling": 0.9801032941511048, "fos_yielding": 1.8354280641956937, "deflection": 0.006546392065912216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.309)" }, "parent_node_id": "node_1176", "improvement_over_parent": null }, "node_1178": { "node_id": "node_1178", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.00 kg\n Factor of Safety: 1.08\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.99780214258664, "fos_buckling": 1.0775204157218692, "fos_yielding": 2.069765690001064, "deflection": 0.005824424271132608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_1177", "improvement_over_parent": null }, "node_1179": { "node_id": "node_1179", "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.75 kg\n Factor of Safety: 1.08\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.7476541143784, "fos_buckling": 1.077285027544223, "fos_yielding": 2.396102183552905, "deflection": 0.005752919482010982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.661)" }, "parent_node_id": "node_1178", "improvement_over_parent": null }, "node_1180": { "node_id": "node_1180", "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 279.60 kg\n Factor of Safety: 1.08\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.59766587143895, "fos_buckling": 1.0770183222567575, "fos_yielding": 2.396102183552905, "deflection": 0.00571231059867028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.477)" }, "parent_node_id": "node_1179", "improvement_over_parent": null }, "node_1181": { "node_id": "node_1181", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 287.12 kg\n Factor of Safety: 1.08\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.1169620790341, "fos_buckling": 1.0764289649849688, "fos_yielding": 2.3961021835529053, "deflection": 0.005628519765422665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_1180", "improvement_over_parent": null }, "node_1182": { "node_id": "node_1182", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 299.81 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.8053333375227, "fos_buckling": 1.4795403449536297, "fos_yielding": 2.188103838667973, "deflection": 0.005203944261267318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1181", "improvement_over_parent": null }, "node_1183": { "node_id": "node_1183", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5279595681865, "fos_buckling": 1.5145037691274916, "fos_yielding": 2.1878886593571316, "deflection": 0.005152784628919827, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.305)" }, "parent_node_id": "node_1182", "improvement_over_parent": null }, "node_1184": { "node_id": "node_1184", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1183", "improvement_over_parent": null }, "node_1185": { "node_id": "node_1185", "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 213.27 kg\n Factor of Safety: 0.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.26894828353923, "fos_buckling": 0.4127629600102391, "fos_yielding": 1.3534577404570958, "deflection": 0.011784028421181886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1186": { "node_id": "node_1186", "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 215.16 kg\n Factor of Safety: 0.41\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.15572692881105, "fos_buckling": 0.4127629600102391, "fos_yielding": 1.3534577404570958, "deflection": 0.011730886050928549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.305)" }, "parent_node_id": "node_1185", "improvement_over_parent": null }, "node_1187": { "node_id": "node_1187", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 244.47 kg\n Factor of Safety: 1.27\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.47049284690237, "fos_buckling": 1.2674403484630112, "fos_yielding": 1.7640586005913608, "deflection": 0.006368933840628255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004741)" }, "parent_node_id": "node_1186", "improvement_over_parent": null }, "node_1188": { "node_id": "node_1188", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.60 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.60429585962885, "fos_buckling": 1.3879769809610314, "fos_yielding": 1.9658104003408978, "deflection": 0.005723895826671756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1187", "improvement_over_parent": null }, "node_1189": { "node_id": "node_1189", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.36533656713044, "fos_buckling": 1.5139035741992182, "fos_yielding": 2.186107849457405, "deflection": 0.005155542541455061, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1188", "improvement_over_parent": null }, "node_1190": { "node_id": "node_1190", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1189", "improvement_over_parent": null }, "node_1191": { "node_id": "node_1191", "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 0.79\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.74008416440108, "fos_buckling": 0.7871501215872846, "fos_yielding": 1.6382351680291696, "deflection": 0.00809973335010415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1192": { "node_id": "node_1192", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.10 kg\n Factor of Safety: 0.88\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.09602472415267, "fos_buckling": 0.8810728557944373, "fos_yielding": 1.8716380519083418, "deflection": 0.007105485877213626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_1191", "improvement_over_parent": null }, "node_1193": { "node_id": "node_1193", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 237.01 kg\n Factor of Safety: 1.23\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.01147020465064, "fos_buckling": 1.2345739445192392, "fos_yielding": 1.7108729459768455, "deflection": 0.006565707394583437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002909)" }, "parent_node_id": "node_1192", "improvement_over_parent": null }, "node_1194": { "node_id": "node_1194", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3003864702302, "fos_buckling": 1.513597671612152, "fos_yielding": 2.1860757849432995, "deflection": 0.005156677663912122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1193", "improvement_over_parent": null }, "node_1195": { "node_id": "node_1195", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1194", "improvement_over_parent": null }, "node_1196": { "node_id": "node_1196", "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 189.87 kg\n Factor of Safety: 0.50\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.868559214198, "fos_buckling": 0.49602174574732777, "fos_yielding": 1.619309835604254, "deflection": 0.008718865918015017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1197": { "node_id": "node_1197", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 226.04 kg\n Factor of Safety: 0.58\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.04150890756557, "fos_buckling": 0.5830908036366561, "fos_yielding": 1.9223228220886714, "deflection": 0.007339905032250437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1196", "improvement_over_parent": null }, "node_1198": { "node_id": "node_1198", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.59 kg\n Factor of Safety: 0.66\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.5895628290791, "fos_buckling": 0.6570551022499397, "fos_yielding": 2.185150433936736, "deflection": 0.00645334838425085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_1197", "improvement_over_parent": null }, "node_1199": { "node_id": "node_1199", "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 264.83 kg\n Factor of Safety: 0.90\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.82760236694975, "fos_buckling": 0.9040190458800069, "fos_yielding": 2.181628060978564, "deflection": 0.006148334433440244, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.497)" }, "parent_node_id": "node_1198", "improvement_over_parent": null }, "node_1200": { "node_id": "node_1200", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.14 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.14093724897657, "fos_buckling": 1.0758209264423355, "fos_yielding": 2.3936676953287477, "deflection": 0.005582772714577868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1199", "improvement_over_parent": null }, "node_1201": { "node_id": "node_1201", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1727039342063, "fos_buckling": 1.512928687305451, "fos_yielding": 2.184858492175026, "deflection": 0.005159170183132047, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1200", "improvement_over_parent": null }, "node_1202": { "node_id": "node_1202", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1201", "improvement_over_parent": null }, "node_1203": { "node_id": "node_1203", "content": "INITIAL DESIGN (Trace 170)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 232.35 kg\n Factor of Safety: 0.83\n Max Deflection: 4.31e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.35488165765443, "fos_buckling": 0.8321896129610563, "fos_yielding": 1.7728610827623417, "deflection": 4312499718494.043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1204": { "node_id": "node_1204", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 255.61 kg\n Factor of Safety: 0.99\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.61057828376465, "fos_buckling": 0.9917733997532672, "fos_yielding": 1.7728610827623417, "deflection": 0.0061713707539804855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004508)" }, "parent_node_id": "node_1203", "improvement_over_parent": null }, "node_1205": { "node_id": "node_1205", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 257.33 kg\n Factor of Safety: 0.99\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.32811019545625, "fos_buckling": 0.9917733997532672, "fos_yielding": 2.161145873909314, "deflection": 0.0061713707539804855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.238)" }, "parent_node_id": "node_1204", "improvement_over_parent": null }, "node_1206": { "node_id": "node_1206", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 273.59 kg\n Factor of Safety: 1.39\n Max Deflection: 5.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.58570972099994, "fos_buckling": 1.392052090235202, "fos_yielding": 1.9736968409616467, "deflection": 0.005703806932801962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003769)" }, "parent_node_id": "node_1205", "improvement_over_parent": null }, "node_1207": { "node_id": "node_1207", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4597047809472, "fos_buckling": 1.5142442013217698, "fos_yielding": 2.1877180650798227, "deflection": 0.00515399212641547, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1206", "improvement_over_parent": null }, "node_1208": { "node_id": "node_1208", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1207", "improvement_over_parent": null }, "node_1209": { "node_id": "node_1209", "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 210.41 kg\n Factor of Safety: 0.63\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.41484899201112, "fos_buckling": 0.626246604892272, "fos_yielding": 1.8228119496010664, "deflection": 0.0146638305920954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1210": { "node_id": "node_1210", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 212.37 kg\n Factor of Safety: 0.63\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.37021893340676, "fos_buckling": 0.626246604892272, "fos_yielding": 1.8228119496010664, "deflection": 0.014725409472452848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.359)" }, "parent_node_id": "node_1209", "improvement_over_parent": null }, "node_1211": { "node_id": "node_1211", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 0.63\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.35691553268822, "fos_buckling": 0.626246604892272, "fos_yielding": 1.822811949601065, "deflection": 0.014574252017912643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.393)" }, "parent_node_id": "node_1210", "improvement_over_parent": null }, "node_1212": { "node_id": "node_1212", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 237.42 kg\n Factor of Safety: 0.60\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.42008093030773, "fos_buckling": 0.5996445302603669, "fos_yielding": 1.6080540264503056, "deflection": 0.008918477687244358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003864)" }, "parent_node_id": "node_1211", "improvement_over_parent": null }, "node_1213": { "node_id": "node_1213", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 242.21 kg\n Factor of Safety: 0.60\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.2083304370259, "fos_buckling": 0.6046582233578561, "fos_yielding": 1.6104815766480485, "deflection": 0.008910383167697843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.339)" }, "parent_node_id": "node_1212", "improvement_over_parent": null }, "node_1214": { "node_id": "node_1214", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 294.93 kg\n Factor of Safety: 0.71\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.9265758719548, "fos_buckling": 0.710423586848895, "fos_yielding": 1.9588257764046497, "deflection": 0.007337342114860801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1213", "improvement_over_parent": null }, "node_1215": { "node_id": "node_1215", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.73 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.73083185109533, "fos_buckling": 0.8888771099263671, "fos_yielding": 2.158178856917021, "deflection": 0.006520477275597339, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1214", "improvement_over_parent": null }, "node_1216": { "node_id": "node_1216", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.30503151607155, "fos_buckling": 1.513656302566867, "fos_yielding": 2.185883006091672, "deflection": 0.0051562719762017085, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1215", "improvement_over_parent": null }, "node_1217": { "node_id": "node_1217", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1216", "improvement_over_parent": null }, "node_1218": { "node_id": "node_1218", "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 243.46 kg\n Factor of Safety: 0.64\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.46235549159724, "fos_buckling": 0.6378425091822245, "fos_yielding": 1.898153863168765, "deflection": 0.006612929605454895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1219": { "node_id": "node_1219", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.43 kg\n Factor of Safety: 0.72\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.42506602632824, "fos_buckling": 0.7170695673630372, "fos_yielding": 2.160821312992366, "deflection": 0.005814634881903578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_1218", "improvement_over_parent": null }, "node_1220": { "node_id": "node_1220", "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.04 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.044113745669, "fos_buckling": 0.9061979304673919, "fos_yielding": 2.160492127393664, "deflection": 0.00560012658268353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.350)" }, "parent_node_id": "node_1219", "improvement_over_parent": null }, "node_1221": { "node_id": "node_1221", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3574486276958, "fos_buckling": 1.5137435742258913, "fos_yielding": 2.1863347745520096, "deflection": 0.005155895435060198, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1220", "improvement_over_parent": null }, "node_1222": { "node_id": "node_1222", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1221", "improvement_over_parent": null }, "node_1223": { "node_id": "node_1223", "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 132.19 kg\n Factor of Safety: 0.30\n Max Deflection: 2.05e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.18895785617883, "fos_buckling": 0.30082610137619353, "fos_yielding": 0.8238898055034816, "deflection": 0.020537458335919245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1224": { "node_id": "node_1224", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 133.76 kg\n Factor of Safety: 0.30\n Max Deflection: 2.00e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.75730284909724, "fos_buckling": 0.3007907066952025, "fos_yielding": 0.8238898055034816, "deflection": 0.020043220558083122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001266)" }, "parent_node_id": "node_1223", "improvement_over_parent": null }, "node_1225": { "node_id": "node_1225", "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 136.41 kg\n Factor of Safety: 0.30\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.41050743106578, "fos_buckling": 0.3007009270985252, "fos_yielding": 0.8238898055034825, "deflection": 0.01978414434437422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.248)" }, "parent_node_id": "node_1224", "improvement_over_parent": null }, "node_1226": { "node_id": "node_1226", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 164.69 kg\n Factor of Safety: 0.36\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.688894097812, "fos_buckling": 0.35532523078551653, "fos_yielding": 0.99436647519375, "deflection": 0.016406242117400736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1225", "improvement_over_parent": null }, "node_1227": { "node_id": "node_1227", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n Mass: 180.38 kg\n Factor of Safety: 0.35\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.3752103376218, "fos_buckling": 0.35470055628416913, "fos_yielding": 1.1362755004483638, "deflection": 0.014856590878090888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003137)" }, "parent_node_id": "node_1226", "improvement_over_parent": null }, "node_1228": { "node_id": "node_1228", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 211.94 kg\n Factor of Safety: 0.41\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.93846734542075, "fos_buckling": 0.40745855048542756, "fos_yielding": 1.3334646060098998, "deflection": 0.012662288998618149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1227", "improvement_over_parent": null }, "node_1229": { "node_id": "node_1229", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 240.79 kg\n Factor of Safety: 1.22\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.79288073808206, "fos_buckling": 1.2189479229418168, "fos_yielding": 1.739380273804857, "deflection": 0.006500332504153695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004661)" }, "parent_node_id": "node_1228", "improvement_over_parent": null }, "node_1230": { "node_id": "node_1230", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0056)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.6833495465522, "fos_buckling": 1.4769551976971782, "fos_yielding": 2.1908331331363207, "deflection": 0.005177935880986892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1229", "improvement_over_parent": null }, "node_1231": { "node_id": "node_1231", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1230", "improvement_over_parent": null }, "node_1232": { "node_id": "node_1232", "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 193.62 kg\n Factor of Safety: 0.36\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.62184641187022, "fos_buckling": 0.3624644956756836, "fos_yielding": 0.8793241074165636, "deflection": 0.015955235625001084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1233": { "node_id": "node_1233", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 195.63 kg\n Factor of Safety: 0.36\n Max Deflection: 1.60e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.63375990656462, "fos_buckling": 0.3624644956756836, "fos_yielding": 0.8793241074165636, "deflection": 0.015955235625001084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.399)" }, "parent_node_id": "node_1232", "improvement_over_parent": null }, "node_1234": { "node_id": "node_1234", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 215.94 kg\n Factor of Safety: 0.89\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.9362896323464, "fos_buckling": 0.8873271682646615, "fos_yielding": 1.7038497325168258, "deflection": 0.007676786906341866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004153)" }, "parent_node_id": "node_1233", "improvement_over_parent": null }, "node_1235": { "node_id": "node_1235", "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 223.60 kg\n Factor of Safety: 0.89\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.5955853420667, "fos_buckling": 0.8865680350684727, "fos_yielding": 1.7066657545501949, "deflection": 0.007605563251367907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.541)" }, "parent_node_id": "node_1234", "improvement_over_parent": null }, "node_1236": { "node_id": "node_1236", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0053)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 236.92 kg\n Factor of Safety: 1.17\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.91799228409658, "fos_buckling": 1.168918263220958, "fos_yielding": 1.7042838674160128, "deflection": 0.006671639615719893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003364)" }, "parent_node_id": "node_1235", "improvement_over_parent": null }, "node_1237": { "node_id": "node_1237", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 270.66 kg\n Factor of Safety: 1.31\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.655827156476, "fos_buckling": 1.3079191703068591, "fos_yielding": 1.946228626618322, "deflection": 0.005852717526516014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1236", "improvement_over_parent": null }, "node_1238": { "node_id": "node_1238", "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0070)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 280.27 kg\n Factor of Safety: 1.38\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.26620952861015, "fos_buckling": 1.3814849217039749, "fos_yielding": 1.9463932078456152, "deflection": 0.005600650506929152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.332)" }, "parent_node_id": "node_1237", "improvement_over_parent": null }, "node_1239": { "node_id": "node_1239", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0069)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 315.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.99e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 315.13918892555415, "fos_buckling": 1.5199793342050378, "fos_yielding": 2.1890512924679597, "deflection": 0.004992592837722818, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_1238", "improvement_over_parent": null }, "node_1240": { "node_id": "node_1240", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1239", "improvement_over_parent": null }, "node_1241": { "node_id": "node_1241", "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 259.67 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.673362006695, "fos_buckling": 0.4456274526334626, "fos_yielding": 1.0824033295428572, "deflection": 0.012441910823305386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1242": { "node_id": "node_1242", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 272.36 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.3617332651836, "fos_buckling": 0.44541741550908714, "fos_yielding": 1.4214267881694775, "deflection": 0.010818282423813287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1241", "improvement_over_parent": null }, "node_1243": { "node_id": "node_1243", "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.42266437684714, "fos_buckling": 0.4451663469933876, "fos_yielding": 1.4208687671499252, "deflection": 0.010664810400269517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.282)" }, "parent_node_id": "node_1242", "improvement_over_parent": null }, "node_1244": { "node_id": "node_1244", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0057)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.5104566596233, "fos_buckling": 1.4718595792609788, "fos_yielding": 2.1886972244720724, "deflection": 0.0051863835562611605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_1243", "improvement_over_parent": null }, "node_1245": { "node_id": "node_1245", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1244", "improvement_over_parent": null }, "node_1246": { "node_id": "node_1246", "content": "INITIAL DESIGN (Trace 176)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 155.39 kg\n Factor of Safety: 0.35\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.39096440834717, "fos_buckling": 0.3513472642398164, "fos_yielding": 1.1246408774731291, "deflection": 0.010985526431864403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1247": { "node_id": "node_1247", "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 155.89 kg\n Factor of Safety: 0.35\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.89048964728107, "fos_buckling": 0.35132122243999636, "fos_yielding": 1.124622109382187, "deflection": 0.010965831411146038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.183)" }, "parent_node_id": "node_1246", "improvement_over_parent": null }, "node_1248": { "node_id": "node_1248", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 172.65 kg\n Factor of Safety: 0.38\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.649684715487, "fos_buckling": 0.38398286870603626, "fos_yielding": 1.24474432508784, "deflection": 0.009914681841718525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1247", "improvement_over_parent": null }, "node_1249": { "node_id": "node_1249", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 206.23 kg\n Factor of Safety: 0.45\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.2338656553066, "fos_buckling": 0.4465297729786081, "fos_yielding": 1.485007091032804, "deflection": 0.008322452035080103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1248", "improvement_over_parent": null }, "node_1250": { "node_id": "node_1250", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 226.91 kg\n Factor of Safety: 0.75\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.90581689539184, "fos_buckling": 0.7523356524299912, "fos_yielding": 1.734354677286041, "deflection": 0.006958811391158316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003969)" }, "parent_node_id": "node_1249", "improvement_over_parent": null }, "node_1251": { "node_id": "node_1251", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 243.19 kg\n Factor of Safety: 1.26\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.19009532334803, "fos_buckling": 1.2617599595871878, "fos_yielding": 1.7552599797785151, "deflection": 0.006401981971435715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003523)" }, "parent_node_id": "node_1250", "improvement_over_parent": null }, "node_1252": { "node_id": "node_1252", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4385244329915, "fos_buckling": 1.514117938781417, "fos_yielding": 2.187105833332412, "deflection": 0.005154437974444752, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1251", "improvement_over_parent": null }, "node_1253": { "node_id": "node_1253", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1252", "improvement_over_parent": null }, "node_1254": { "node_id": "node_1254", "content": "INITIAL DESIGN (Trace 177)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0007)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0018)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0013)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0015)]\n\nPerformance:\n Mass: 98.77 kg\n Factor of Safety: 0.56\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.76705090657809, "fos_buckling": 0.5600734106433416, "fos_yielding": 0.715221412009549, "deflection": 0.015589357198743315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1255": { "node_id": "node_1255", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 127.29 kg\n Factor of Safety: 0.71\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.29390231229752, "fos_buckling": 0.7096269559487715, "fos_yielding": 0.9211971028634329, "deflection": 0.0121223688724624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1254", "improvement_over_parent": null }, "node_1256": { "node_id": "node_1256", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 141.25 kg\n Factor of Safety: 0.78\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.25119435398364, "fos_buckling": 0.7808226903296384, "fos_yielding": 1.0218766412872673, "deflection": 0.010936273359917835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1255", "improvement_over_parent": null }, "node_1257": { "node_id": "node_1257", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 163.92 kg\n Factor of Safety: 0.89\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.9186990366885, "fos_buckling": 0.8936937909675947, "fos_yielding": 1.1852495763114028, "deflection": 0.00944037766263682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1256", "improvement_over_parent": null }, "node_1258": { "node_id": "node_1258", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 1.08\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.81175782895036, "fos_buckling": 1.0840960597767073, "fos_yielding": 1.472362633400545, "deflection": 0.007615819005504834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1257", "improvement_over_parent": null }, "node_1259": { "node_id": "node_1259", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.05 kg\n Factor of Safety: 1.21\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.04572717740757, "fos_buckling": 1.208075943424669, "fos_yielding": 1.6680671398861688, "deflection": 0.006732124826117277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1258", "improvement_over_parent": null }, "node_1260": { "node_id": "node_1260", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.18 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.1779048331905, "fos_buckling": 1.3566258078267919, "fos_yielding": 1.9129992938460332, "deflection": 0.005880894774773886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1259", "improvement_over_parent": null }, "node_1261": { "node_id": "node_1261", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.55334079943503, "fos_buckling": 1.5146227713131788, "fos_yielding": 2.1879261624103727, "deflection": 0.005152445698995163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1260", "improvement_over_parent": null }, "node_1262": { "node_id": "node_1262", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1261", "improvement_over_parent": null }, "node_1263": { "node_id": "node_1263", "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.42 kg\n Factor of Safety: 1.12\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.42280251013165, "fos_buckling": 1.1169178554837602, "fos_yielding": 2.1010218948088974, "deflection": 0.005398560814315917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1264": { "node_id": "node_1264", "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.48 kg\n Factor of Safety: 1.17\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.48153303930445, "fos_buckling": 1.1741880155832434, "fos_yielding": 2.1106340039867235, "deflection": 0.005279006445062575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.642)" }, "parent_node_id": "node_1263", "improvement_over_parent": null }, "node_1265": { "node_id": "node_1265", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.285789018445, "fos_buckling": 1.505848064056519, "fos_yielding": 2.1852062570158135, "deflection": 0.005184752293883771, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1264", "improvement_over_parent": null }, "node_1266": { "node_id": "node_1266", "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 305.03 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 305.0321851559038, "fos_buckling": 1.5186679964476093, "fos_yielding": 2.1829441856047698, "deflection": 0.005135006721427307, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.280)" }, "parent_node_id": "node_1265", "improvement_over_parent": null }, "node_1267": { "node_id": "node_1267", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1266", "improvement_over_parent": null }, "node_1268": { "node_id": "node_1268", "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 158.09 kg\n Factor of Safety: 0.96\n Max Deflection: 6.98e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0907813204658, "fos_buckling": 0.9648252641715369, "fos_yielding": 1.58514234873538, "deflection": 6976294235121.388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1269": { "node_id": "node_1269", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 184.13 kg\n Factor of Safety: 0.68\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.12909565670878, "fos_buckling": 0.6826463811284855, "fos_yielding": 1.550062794334364, "deflection": 0.009972567861325889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004176)" }, "parent_node_id": "node_1268", "improvement_over_parent": null }, "node_1270": { "node_id": "node_1270", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 207.46 kg\n Factor of Safety: 0.76\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.46155486823108, "fos_buckling": 0.7569570573746002, "fos_yielding": 1.7451508059849004, "deflection": 0.008861340499514826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_1269", "improvement_over_parent": null }, "node_1271": { "node_id": "node_1271", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 223.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.84464184113318, "fos_buckling": 0.9145027928210636, "fos_yielding": 1.7725427127688438, "deflection": 0.007844644993550498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003546)" }, "parent_node_id": "node_1270", "improvement_over_parent": null }, "node_1272": { "node_id": "node_1272", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.79 kg\n Factor of Safety: 1.09\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.7897355846107, "fos_buckling": 1.0918004695631347, "fos_yielding": 2.1958643243733893, "deflection": 0.006344242471723796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_1271", "improvement_over_parent": null }, "node_1273": { "node_id": "node_1273", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 286.35 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.3468066138353, "fos_buckling": 1.090761419336617, "fos_yielding": 2.1899461121414823, "deflection": 0.006003559709097744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.502)" }, "parent_node_id": "node_1272", "improvement_over_parent": null }, "node_1274": { "node_id": "node_1274", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4647618454098, "fos_buckling": 1.5141467961944688, "fos_yielding": 2.1872244122487854, "deflection": 0.005153842406514669, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1273", "improvement_over_parent": null }, "node_1275": { "node_id": "node_1275", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1274", "improvement_over_parent": null }, "node_1276": { "node_id": "node_1276", "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 157.36 kg\n Factor of Safety: 0.61\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.36293620324776, "fos_buckling": 0.6055562475927434, "fos_yielding": 1.2955891822785528, "deflection": 0.010590148944345623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1277": { "node_id": "node_1277", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 188.81 kg\n Factor of Safety: 0.72\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.80591629030482, "fos_buckling": 0.7162584897308452, "fos_yielding": 1.5530549228944135, "deflection": 0.008843947240028306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1276", "improvement_over_parent": null }, "node_1278": { "node_id": "node_1278", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.10\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.8450998179377, "fos_buckling": 1.100265401813154, "fos_yielding": 1.5293708239501649, "deflection": 0.007533898630745761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)" }, "parent_node_id": "node_1277", "improvement_over_parent": null }, "node_1279": { "node_id": "node_1279", "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 213.20 kg\n Factor of Safety: 1.10\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.195508361053, "fos_buckling": 1.0995945453429672, "fos_yielding": 1.5470774827510159, "deflection": 0.007396329166627839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.515)" }, "parent_node_id": "node_1278", "improvement_over_parent": null }, "node_1280": { "node_id": "node_1280", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 213.82 kg\n Factor of Safety: 1.11\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.8180804929143, "fos_buckling": 1.1097755700114857, "fos_yielding": 1.5475552352153268, "deflection": 0.00734553175349108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.205)" }, "parent_node_id": "node_1279", "improvement_over_parent": null }, "node_1281": { "node_id": "node_1281", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n Mass: 264.07 kg\n Factor of Safety: 1.33\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.06922237997685, "fos_buckling": 1.3293368526736837, "fos_yielding": 1.9103634499567426, "deflection": 0.005966991461098863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1280", "improvement_over_parent": null }, "node_1282": { "node_id": "node_1282", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0077)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 309.25 kg\n Factor of Safety: 1.51\n Max Deflection: 5.11e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 309.25304129880493, "fos_buckling": 1.5135435116733909, "fos_yielding": 2.236340427614637, "deflection": 0.0051098243827644415, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1281", "improvement_over_parent": null }, "node_1283": { "node_id": "node_1283", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1282", "improvement_over_parent": null }, "node_1284": { "node_id": "node_1284", "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 177.15 kg\n Factor of Safety: 0.46\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.14780698726997, "fos_buckling": 0.46165774391410963, "fos_yielding": 1.1796653318325514, "deflection": 0.012142394801058892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1285": { "node_id": "node_1285", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 206.47 kg\n Factor of Safety: 0.53\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.46954338993453, "fos_buckling": 0.5278864644930691, "fos_yielding": 1.3740683773008968, "deflection": 0.010433642144542739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_1284", "improvement_over_parent": null }, "node_1286": { "node_id": "node_1286", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n\nPerformance:\n Mass: 207.61 kg\n Factor of Safety: 0.67\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.6080689560955, "fos_buckling": 0.6749652227852185, "fos_yielding": 1.4972320415758638, "deflection": 0.00939628625264726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.000907)" }, "parent_node_id": "node_1285", "improvement_over_parent": null }, "node_1287": { "node_id": "node_1287", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 259.21 kg\n Factor of Safety: 0.82\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.20776869936805, "fos_buckling": 0.8174848945696069, "fos_yielding": 1.8674584545703596, "deflection": 0.007546165600778536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_1286", "improvement_over_parent": null }, "node_1288": { "node_id": "node_1288", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 296.73 kg\n Factor of Safety: 0.91\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.72982721954827, "fos_buckling": 0.9148035461954271, "fos_yielding": 2.136215617417623, "deflection": 0.006604837397469059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1287", "improvement_over_parent": null }, "node_1289": { "node_id": "node_1289", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 302.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.3040268845245, "fos_buckling": 1.5128396622705849, "fos_yielding": 2.1785430396391603, "deflection": 0.005162990194533922, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1288", "improvement_over_parent": null }, "node_1290": { "node_id": "node_1290", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0071)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 308.25 kg\n Factor of Safety: 1.56\n Max Deflection: 5.04e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.2463969801433, "fos_buckling": 1.562627215759418, "fos_yielding": 2.178690454497488, "deflection": 0.005041855655326252, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.183)" }, "parent_node_id": "node_1289", "improvement_over_parent": null }, "node_1291": { "node_id": "node_1291", "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0106)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 325.77 kg\n Factor of Safety: 1.56\n Max Deflection: 4.81e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 325.77247718289954, "fos_buckling": 1.555404819812243, "fos_yielding": 2.1788677219000117, "deflection": 0.004808343755140325, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.495)" }, "parent_node_id": "node_1290", "improvement_over_parent": null }, "node_1292": { "node_id": "node_1292", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1291", "improvement_over_parent": null }, "node_1293": { "node_id": "node_1293", "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 168.29 kg\n Factor of Safety: 0.60\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.29294620012092, "fos_buckling": 0.5970288494988155, "fos_yielding": 1.3549804805145802, "deflection": 0.01150391802715938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1294": { "node_id": "node_1294", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 170.81 kg\n Factor of Safety: 0.60\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.81156693090156, "fos_buckling": 0.5970886403613798, "fos_yielding": 1.3551148390598335, "deflection": 0.011505167036453618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.508)" }, "parent_node_id": "node_1293", "improvement_over_parent": null }, "node_1295": { "node_id": "node_1295", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.89 kg\n Factor of Safety: 0.74\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.8949615865935, "fos_buckling": 0.7373702818009857, "fos_yielding": 1.7166781462257699, "deflection": 0.009087618975710497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1294", "improvement_over_parent": null }, "node_1296": { "node_id": "node_1296", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 221.21 kg\n Factor of Safety: 0.88\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.2145901459353, "fos_buckling": 0.875998163711213, "fos_yielding": 1.8578848435840303, "deflection": 0.007156634674879304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)" }, "parent_node_id": "node_1295", "improvement_over_parent": null }, "node_1297": { "node_id": "node_1297", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 235.19 kg\n Factor of Safety: 1.23\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.18940083462152, "fos_buckling": 1.2265479395756687, "fos_yielding": 1.697941137326528, "deflection": 0.006615480706396682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003201)" }, "parent_node_id": "node_1296", "improvement_over_parent": null }, "node_1298": { "node_id": "node_1298", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5378856518719, "fos_buckling": 1.514597745334216, "fos_yielding": 2.1879654603053393, "deflection": 0.005152605824715076, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1297", "improvement_over_parent": null }, "node_1299": { "node_id": "node_1299", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1298", "improvement_over_parent": null }, "node_1300": { "node_id": "node_1300", "content": "INITIAL DESIGN (Trace 183)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 178.87 kg\n Factor of Safety: 0.95\n Max Deflection: 5.45e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.8670620643373, "fos_buckling": 0.9507930040763625, "fos_yielding": 1.9290422535603304, "deflection": 5447461653675.088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1301": { "node_id": "node_1301", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 223.66 kg\n Factor of Safety: 0.92\n Max Deflection: 5.38e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.66497440748788, "fos_buckling": 0.9177291614286232, "fos_yielding": 1.9704030342843806, "deflection": 5376390703533.166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1300", "improvement_over_parent": null }, "node_1302": { "node_id": "node_1302", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 243.98 kg\n Factor of Safety: 0.06\n Max Deflection: 7.11e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.9783092895147, "fos_buckling": 0.05735807258928895, "fos_yielding": 0.14860709519394186, "deflection": 71051751334111.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1301", "improvement_over_parent": null }, "node_1303": { "node_id": "node_1303", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 270.07 kg\n Factor of Safety: 1.11\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.06610157229085, "fos_buckling": 1.1059725855903204, "fos_yielding": 2.1897894888984206, "deflection": 0.00626793410240847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_1302", "improvement_over_parent": null }, "node_1304": { "node_id": "node_1304", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 273.75 kg\n Factor of Safety: 1.13\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.75359083226414, "fos_buckling": 1.1347349221416518, "fos_yielding": 2.1897248475513114, "deflection": 0.006149677718477648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.185)" }, "parent_node_id": "node_1303", "improvement_over_parent": null }, "node_1305": { "node_id": "node_1305", "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 280.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.2829753672609, "fos_buckling": 1.1349474817957634, "fos_yielding": 2.225775982759948, "deflection": 0.00602377031817889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.616)" }, "parent_node_id": "node_1304", "improvement_over_parent": null }, "node_1306": { "node_id": "node_1306", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5064957484089, "fos_buckling": 1.5143549287986136, "fos_yielding": 2.187643784080875, "deflection": 0.005153101974539118, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1305", "improvement_over_parent": null }, "node_1307": { "node_id": "node_1307", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1306", "improvement_over_parent": null }, "node_1308": { "node_id": "node_1308", "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0014)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n\nPerformance:\n Mass: 110.95 kg\n Factor of Safety: 0.26\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.95182133092175, "fos_buckling": 0.262356976554116, "fos_yielding": 0.8139005597726103, "deflection": 0.016653821617715295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1309": { "node_id": "node_1309", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n\nPerformance:\n Mass: 114.06 kg\n Factor of Safety: 0.26\n Max Deflection: 1.64e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.05898957580105, "fos_buckling": 0.26217476991834904, "fos_yielding": 0.8137736658845922, "deflection": 0.01641975428768289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.456)" }, "parent_node_id": "node_1308", "improvement_over_parent": null }, "node_1310": { "node_id": "node_1310", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n\nPerformance:\n Mass: 126.21 kg\n Factor of Safety: 0.29\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.21471680760854, "fos_buckling": 0.28740284332842875, "fos_yielding": 0.9000647489523639, "deflection": 0.01485470958983969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_1309", "improvement_over_parent": null }, "node_1311": { "node_id": "node_1311", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 159.98 kg\n Factor of Safety: 0.35\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.98057509417143, "fos_buckling": 0.35480079764607525, "fos_yielding": 1.1393239496970422, "deflection": 0.01175525075274486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1310", "improvement_over_parent": null }, "node_1312": { "node_id": "node_1312", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 0.44\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.0023859292854, "fos_buckling": 0.43682630640444736, "fos_yielding": 1.450291525936217, "deflection": 0.009255188831153487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_1311", "improvement_over_parent": null }, "node_1313": { "node_id": "node_1313", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 260.14 kg\n Factor of Safety: 0.53\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.13512875606654, "fos_buckling": 0.5320029596722123, "fos_yielding": 1.8452365230564194, "deflection": 0.007294686172523762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1312", "improvement_over_parent": null }, "node_1314": { "node_id": "node_1314", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.25 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.253083987641, "fos_buckling": 0.5313390876695183, "fos_yielding": 1.8447114232286834, "deflection": 0.00671311924421684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1313", "improvement_over_parent": null }, "node_1315": { "node_id": "node_1315", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.04 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.04371153005496, "fos_buckling": 1.512502748912063, "fos_yielding": 2.1839056222790667, "deflection": 0.005161344416749101, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1314", "improvement_over_parent": null }, "node_1316": { "node_id": "node_1316", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1315", "improvement_over_parent": null }, "node_1317": { "node_id": "node_1317", "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.72\n Max Deflection: 8.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.5004155314956, "fos_buckling": 0.7247128916140531, "fos_yielding": 1.1285207615354702, "deflection": 0.00889248753457171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1318": { "node_id": "node_1318", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 0.89\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.08800521134523, "fos_buckling": 0.8863456529426338, "fos_yielding": 1.108243680385755, "deflection": 0.007466435777517246, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003329)" }, "parent_node_id": "node_1317", "improvement_over_parent": null }, "node_1319": { "node_id": "node_1319", "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n Mass: 213.36 kg\n Factor of Safety: 1.04\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.35725173554968, "fos_buckling": 1.0362144607296764, "fos_yielding": 1.562984644959034, "deflection": 0.007377637698830975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.456)" }, "parent_node_id": "node_1318", "improvement_over_parent": null }, "node_1320": { "node_id": "node_1320", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 247.45 kg\n Factor of Safety: 1.18\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.44834816110256, "fos_buckling": 1.180548622906221, "fos_yielding": 1.811062594807014, "deflection": 0.006376699313873659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1319", "improvement_over_parent": null }, "node_1321": { "node_id": "node_1321", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 251.32 kg\n Factor of Safety: 1.30\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.3197119025204, "fos_buckling": 1.297168473480813, "fos_yielding": 1.8130504408103145, "deflection": 0.006198384091105887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.235)" }, "parent_node_id": "node_1320", "improvement_over_parent": null }, "node_1322": { "node_id": "node_1322", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.27160347887894, "fos_buckling": 1.5134334933665161, "fos_yielding": 2.1852611989913795, "deflection": 0.005156923953187818, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1321", "improvement_over_parent": null }, "node_1323": { "node_id": "node_1323", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1322", "improvement_over_parent": null }, "node_1324": { "node_id": "node_1324", "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.76 kg\n Factor of Safety: 1.08\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.7621493370694, "fos_buckling": 1.0800658085579389, "fos_yielding": 2.3956202866251504, "deflection": 0.00830199346829302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1325": { "node_id": "node_1325", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 260.57 kg\n Factor of Safety: 1.08\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.5664053162099, "fos_buckling": 1.0791815732576724, "fos_yielding": 2.3956202866251504, "deflection": 0.00656948677555221, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1324", "improvement_over_parent": null }, "node_1326": { "node_id": "node_1326", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 266.59 kg\n Factor of Safety: 1.09\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.59281362276744, "fos_buckling": 1.0920740155796618, "fos_yielding": 2.395620286625149, "deflection": 0.00645084982358008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.264)" }, "parent_node_id": "node_1325", "improvement_over_parent": null }, "node_1327": { "node_id": "node_1327", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 283.71 kg\n Factor of Safety: 1.27\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.7107688543419, "fos_buckling": 1.2725403106621704, "fos_yielding": 2.395620286625149, "deflection": 0.005676914440992019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1326", "improvement_over_parent": null }, "node_1328": { "node_id": "node_1328", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 288.56 kg\n Factor of Safety: 1.27\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.56321835574767, "fos_buckling": 1.2711925587707524, "fos_yielding": 2.3956202866251504, "deflection": 0.005513223646352308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.238)" }, "parent_node_id": "node_1327", "improvement_over_parent": null }, "node_1329": { "node_id": "node_1329", "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.93 kg\n Factor of Safety: 1.27\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.9301509202273, "fos_buckling": 1.2697052318987083, "fos_yielding": 2.3956202866251504, "deflection": 0.005479262289446182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.261)" }, "parent_node_id": "node_1328", "improvement_over_parent": null }, "node_1330": { "node_id": "node_1330", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 306.62 kg\n Factor of Safety: 1.48\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.61852217871586, "fos_buckling": 1.477708434995671, "fos_yielding": 2.213148389766865, "deflection": 0.005142485558021583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1329", "improvement_over_parent": null }, "node_1331": { "node_id": "node_1331", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1330", "improvement_over_parent": null }, "node_1332": { "node_id": "node_1332", "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 0.53\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.38717645190854, "fos_buckling": 0.5349169212919808, "fos_yielding": 1.012737063012028, "deflection": 0.011904175812322025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1333": { "node_id": "node_1333", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 173.71 kg\n Factor of Safety: 0.79\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.70882677605616, "fos_buckling": 0.7893082414771877, "fos_yielding": 1.027646353932194, "deflection": 0.009109924535506176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001908)" }, "parent_node_id": "node_1332", "improvement_over_parent": null }, "node_1334": { "node_id": "node_1334", "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 178.23 kg\n Factor of Safety: 0.83\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.23020434570563, "fos_buckling": 0.8267612227566671, "fos_yielding": 1.0277645291233841, "deflection": 0.008719873912570914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.297)" }, "parent_node_id": "node_1333", "improvement_over_parent": null }, "node_1335": { "node_id": "node_1335", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 208.10 kg\n Factor of Safety: 0.95\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.10417765887078, "fos_buckling": 0.9540020195021586, "fos_yielding": 1.2015484845459994, "deflection": 0.007484876201482499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1334", "improvement_over_parent": null }, "node_1336": { "node_id": "node_1336", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 247.93 kg\n Factor of Safety: 1.12\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.93032293048174, "fos_buckling": 1.1185283500643557, "fos_yielding": 1.4340633548069595, "deflection": 0.0063012925463178035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_1335", "improvement_over_parent": null }, "node_1337": { "node_id": "node_1337", "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0055)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 254.75 kg\n Factor of Safety: 1.12\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.75485588712343, "fos_buckling": 1.1183688130172864, "fos_yielding": 1.4338588126217542, "deflection": 0.006217827838119606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.376)" }, "parent_node_id": "node_1336", "improvement_over_parent": null }, "node_1338": { "node_id": "node_1338", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0057)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0067)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.26 kg\n Factor of Safety: 1.32\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.2559782230505, "fos_buckling": 1.3216882856219905, "fos_yielding": 1.7349833809748094, "deflection": 0.005173206044839442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1337", "improvement_over_parent": null }, "node_1339": { "node_id": "node_1339", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1338", "improvement_over_parent": null }, "node_1340": { "node_id": "node_1340", "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 115.60 kg\n Factor of Safety: 0.42\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.59804269118752, "fos_buckling": 0.4156898812999841, "fos_yielding": 0.892449509375589, "deflection": 0.013471958087964399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1341": { "node_id": "node_1341", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 152.05 kg\n Factor of Safety: 0.53\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.04923460558942, "fos_buckling": 0.5348400868776737, "fos_yielding": 1.172786421349316, "deflection": 0.010269029392457022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_1340", "improvement_over_parent": null }, "node_1342": { "node_id": "node_1342", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 170.09 kg\n Factor of Safety: 0.59\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.09406974477906, "fos_buckling": 0.5917133143168796, "fos_yielding": 1.311373410108602, "deflection": 0.009191454611468215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1341", "improvement_over_parent": null }, "node_1343": { "node_id": "node_1343", "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 172.65 kg\n Factor of Safety: 0.59\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.64507430207448, "fos_buckling": 0.5918274493726777, "fos_yielding": 1.321253490525429, "deflection": 0.009111476936928925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.316)" }, "parent_node_id": "node_1342", "improvement_over_parent": null }, "node_1344": { "node_id": "node_1344", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.68\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.99297542284936, "fos_buckling": 0.6801554137596395, "fos_yielding": 1.544814845863173, "deflection": 0.007803538701420605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_1343", "improvement_over_parent": null }, "node_1345": { "node_id": "node_1345", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n\nPerformance:\n Mass: 216.49 kg\n Factor of Safety: 1.14\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.49080282168853, "fos_buckling": 1.1424226772069033, "fos_yielding": 1.5634978431144784, "deflection": 0.0071767671876560085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003111)" }, "parent_node_id": "node_1344", "improvement_over_parent": null }, "node_1346": { "node_id": "node_1346", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 246.47 kg\n Factor of Safety: 1.28\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.4721074670933, "fos_buckling": 1.276156167844386, "fos_yielding": 1.7788057203927161, "deflection": 0.006318222949023946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1345", "improvement_over_parent": null }, "node_1347": { "node_id": "node_1347", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2661003714691, "fos_buckling": 1.5134783481543783, "fos_yielding": 2.185860143443261, "deflection": 0.005157228476337045, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1346", "improvement_over_parent": null }, "node_1348": { "node_id": "node_1348", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1347", "improvement_over_parent": null }, "node_1349": { "node_id": "node_1349", "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 230.77 kg\n Factor of Safety: 0.78\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.77412088061286, "fos_buckling": 0.7801923850106706, "fos_yielding": 1.533179194527249, "deflection": 0.006834148802316815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1350": { "node_id": "node_1350", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 247.77 kg\n Factor of Safety: 1.09\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.7693552095658, "fos_buckling": 1.092464100352031, "fos_yielding": 1.5492057199479488, "deflection": 0.006307217049969485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003689)" }, "parent_node_id": "node_1349", "improvement_over_parent": null }, "node_1351": { "node_id": "node_1351", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 296.37 kg\n Factor of Safety: 1.28\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.36724125626137, "fos_buckling": 1.2829462431180203, "fos_yielding": 1.8579809243437855, "deflection": 0.005291972605884694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1350", "improvement_over_parent": null }, "node_1352": { "node_id": "node_1352", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.03 kg\n Factor of Safety: 1.28\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.02610826103233, "fos_buckling": 1.2830518110407882, "fos_yielding": 1.8581338093050825, "deflection": 0.00522645844739269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.379)" }, "parent_node_id": "node_1351", "improvement_over_parent": null }, "node_1353": { "node_id": "node_1353", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.54808172866115, "fos_buckling": 1.514644849954645, "fos_yielding": 2.1878249897122695, "deflection": 0.00515253261441559, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.395)" }, "parent_node_id": "node_1352", "improvement_over_parent": null }, "node_1354": { "node_id": "node_1354", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1353", "improvement_over_parent": null }, "node_1355": { "node_id": "node_1355", "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 124.83 kg\n Factor of Safety: 0.54\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.83163399414283, "fos_buckling": 0.5397805929327115, "fos_yielding": 0.9547911596237673, "deflection": 0.01274155271341911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1356": { "node_id": "node_1356", "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 127.05 kg\n Factor of Safety: 0.56\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.04698273015735, "fos_buckling": 0.5627618741741626, "fos_yielding": 0.9546683309669483, "deflection": 0.012495675219634562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.439)" }, "parent_node_id": "node_1355", "improvement_over_parent": null }, "node_1357": { "node_id": "node_1357", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 162.12 kg\n Factor of Safety: 0.71\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.1243605388728, "fos_buckling": 0.708460668766007, "fos_yielding": 1.2168985264782215, "deflection": 0.009814885993128075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1356", "improvement_over_parent": null }, "node_1358": { "node_id": "node_1358", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 199.16 kg\n Factor of Safety: 0.86\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.16098032407297, "fos_buckling": 0.85775234851047, "fos_yielding": 1.4931242793757995, "deflection": 0.008009144484526335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_1357", "improvement_over_parent": null }, "node_1359": { "node_id": "node_1359", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 227.46 kg\n Factor of Safety: 0.97\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.45863472228407, "fos_buckling": 0.9686696649139934, "fos_yielding": 1.7037154612685974, "deflection": 0.007025689424692875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1358", "improvement_over_parent": null }, "node_1360": { "node_id": "node_1360", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 292.71 kg\n Factor of Safety: 1.21\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.7053150917424, "fos_buckling": 1.2140039948712114, "fos_yielding": 2.1877351906898896, "deflection": 0.005482578892259044, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1359", "improvement_over_parent": null }, "node_1361": { "node_id": "node_1361", "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.55369312699213, "fos_buckling": 1.5143340725705627, "fos_yielding": 2.1880138984752744, "deflection": 0.00515253600000788, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.466)" }, "parent_node_id": "node_1360", "improvement_over_parent": null }, "node_1362": { "node_id": "node_1362", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1361", "improvement_over_parent": null }, "node_1363": { "node_id": "node_1363", "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 210.42 kg\n Factor of Safety: 0.46\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.42381261930956, "fos_buckling": 0.4581257700258892, "fos_yielding": 1.4732878429375862, "deflection": 0.00818041318663385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1364": { "node_id": "node_1364", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 212.70 kg\n Factor of Safety: 0.46\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.70407868181357, "fos_buckling": 0.45812577002588933, "fos_yielding": 1.531178020784113, "deflection": 0.00807353302219845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.439)" }, "parent_node_id": "node_1363", "improvement_over_parent": null }, "node_1365": { "node_id": "node_1365", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.02 kg\n Factor of Safety: 0.77\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.02336422651445, "fos_buckling": 0.7724704229725492, "fos_yielding": 1.7884181498125453, "deflection": 0.006750492430413253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004103)" }, "parent_node_id": "node_1364", "improvement_over_parent": null }, "node_1366": { "node_id": "node_1366", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.04 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.0385810979863, "fos_buckling": 0.9055707308320001, "fos_yielding": 2.1605742733138253, "deflection": 0.005600406798017358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1365", "improvement_over_parent": null }, "node_1367": { "node_id": "node_1367", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35191598001313, "fos_buckling": 1.5138502784594265, "fos_yielding": 2.1864255736439238, "deflection": 0.005155804656990385, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1366", "improvement_over_parent": null }, "node_1368": { "node_id": "node_1368", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1367", "improvement_over_parent": null }, "node_1369": { "node_id": "node_1369", "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 226.84 kg\n Factor of Safety: 0.91\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.84146861859682, "fos_buckling": 0.9067006120836303, "fos_yielding": 1.7469607481382763, "deflection": 0.007503405412917442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1370": { "node_id": "node_1370", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.11 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.10993806017945, "fos_buckling": 1.091077721919215, "fos_yielding": 2.184881950737056, "deflection": 0.006018488859676096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_1369", "improvement_over_parent": null }, "node_1371": { "node_id": "node_1371", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.57 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.5738591869779, "fos_buckling": 1.0908408544457746, "fos_yielding": 2.1856699816114755, "deflection": 0.006007107070964423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.391)" }, "parent_node_id": "node_1370", "improvement_over_parent": null }, "node_1372": { "node_id": "node_1372", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.69 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.6918144185524, "fos_buckling": 1.5133633094194452, "fos_yielding": 2.1823240261913845, "deflection": 0.0051592803307401874, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1371", "improvement_over_parent": null }, "node_1373": { "node_id": "node_1373", "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0064)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 306.38 kg\n Factor of Safety: 1.50\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.3815925977783, "fos_buckling": 1.4975167721003, "fos_yielding": 2.4836319485914164, "deflection": 0.005120047756952099, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.399)" }, "parent_node_id": "node_1372", "improvement_over_parent": null }, "node_1374": { "node_id": "node_1374", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1373", "improvement_over_parent": null }, "node_1375": { "node_id": "node_1375", "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 185.73 kg\n Factor of Safety: 1.48\n Max Deflection: 6.33e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.7308872398257, "fos_buckling": 1.4794901645253282, "fos_yielding": 1.9513468504474256, "deflection": 6328591859062.713, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1376": { "node_id": "node_1376", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 200.41 kg\n Factor of Safety: 0.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.41131050455607, "fos_buckling": 0.4518459689973994, "fos_yielding": 1.507946960941781, "deflection": 0.011617115189357785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003375)" }, "parent_node_id": "node_1375", "improvement_over_parent": null }, "node_1377": { "node_id": "node_1377", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 202.69 kg\n Factor of Safety: 0.45\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.69415571140507, "fos_buckling": 0.4515425781408697, "fos_yielding": 1.5077175153259266, "deflection": 0.00890233957023311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001886)" }, "parent_node_id": "node_1376", "improvement_over_parent": null }, "node_1378": { "node_id": "node_1378", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 222.52 kg\n Factor of Safety: 0.45\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.51545313365418, "fos_buckling": 0.4508854139587722, "fos_yielding": 1.507219702728105, "deflection": 0.008233051753926432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003922)" }, "parent_node_id": "node_1377", "improvement_over_parent": null }, "node_1379": { "node_id": "node_1379", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.52 kg\n Factor of Safety: 1.24\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.5163153007967, "fos_buckling": 1.2391185507896822, "fos_yielding": 1.7831481243325964, "deflection": 0.006379497651145855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004037)" }, "parent_node_id": "node_1378", "improvement_over_parent": null }, "node_1380": { "node_id": "node_1380", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.04 kg\n Factor of Safety: 1.28\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.03930848371658, "fos_buckling": 1.2785980466480311, "fos_yielding": 1.7829518466484275, "deflection": 0.006303894763454841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.364)" }, "parent_node_id": "node_1379", "improvement_over_parent": null }, "node_1381": { "node_id": "node_1381", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.287612759704, "fos_buckling": 1.5135258443751516, "fos_yielding": 2.1861050996284845, "deflection": 0.005156795236860008, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_1380", "improvement_over_parent": null }, "node_1382": { "node_id": "node_1382", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1381", "improvement_over_parent": null }, "node_1383": { "node_id": "node_1383", "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 182.01 kg\n Factor of Safety: 0.73\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.0063095749536, "fos_buckling": 0.7296226570326462, "fos_yielding": 1.5004568706398675, "deflection": 0.008831828350955412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1384": { "node_id": "node_1384", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n\nPerformance:\n Mass: 189.95 kg\n Factor of Safety: 1.02\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.95116768213745, "fos_buckling": 1.0191275418633632, "fos_yielding": 1.3726609541972323, "deflection": 0.008162883004666206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002298)" }, "parent_node_id": "node_1383", "improvement_over_parent": null }, "node_1385": { "node_id": "node_1385", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 239.53 kg\n Factor of Safety: 1.25\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.52733811583985, "fos_buckling": 1.2456949982870669, "fos_yielding": 1.7289600796663767, "deflection": 0.006497957316585635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1384", "improvement_over_parent": null }, "node_1386": { "node_id": "node_1386", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2431170132482, "fos_buckling": 1.5133806283159146, "fos_yielding": 2.185697489090183, "deflection": 0.00515760214131148, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1385", "improvement_over_parent": null }, "node_1387": { "node_id": "node_1387", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1386", "improvement_over_parent": null }, "node_1388": { "node_id": "node_1388", "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 193.08 kg\n Factor of Safety: 0.69\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.07960962354906, "fos_buckling": 0.6886228883615454, "fos_yielding": 1.2087974033670683, "deflection": 0.00930751157459644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1389": { "node_id": "node_1389", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 223.08 kg\n Factor of Safety: 0.78\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.08172158967133, "fos_buckling": 0.782283396782467, "fos_yielding": 1.3988549358992344, "deflection": 0.0080710808946092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1388", "improvement_over_parent": null }, "node_1390": { "node_id": "node_1390", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 227.65 kg\n Factor of Safety: 0.93\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.65257104681513, "fos_buckling": 0.9269140629210935, "fos_yielding": 1.4150866965657827, "deflection": 0.007402601311171606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002680)" }, "parent_node_id": "node_1389", "improvement_over_parent": null }, "node_1391": { "node_id": "node_1391", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 241.69 kg\n Factor of Safety: 1.11\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.69185951207984, "fos_buckling": 1.1056018297312917, "fos_yielding": 1.4135776608244388, "deflection": 0.0063724616769529905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003559)" }, "parent_node_id": "node_1390", "improvement_over_parent": null }, "node_1392": { "node_id": "node_1392", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 294.85 kg\n Factor of Safety: 1.32\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.8527933369032, "fos_buckling": 1.319851803523479, "fos_yielding": 1.7291694155488864, "deflection": 0.005245648706701735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_1391", "improvement_over_parent": null }, "node_1393": { "node_id": "node_1393", "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0052)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.55 kg\n Factor of Safety: 1.32\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.5540437139834, "fos_buckling": 1.320502017807622, "fos_yielding": 1.7300212768341396, "deflection": 0.0051834726911752695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.565)" }, "parent_node_id": "node_1392", "improvement_over_parent": null }, "node_1394": { "node_id": "node_1394", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0065)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0052)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.37 kg\n Factor of Safety: 1.32\n Max Deflection: 5.12e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.366108363507, "fos_buckling": 1.3203745585916538, "fos_yielding": 1.7298542894667746, "deflection": 0.0051222000222857795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.318)" }, "parent_node_id": "node_1393", "improvement_over_parent": null }, "node_1395": { "node_id": "node_1395", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1394", "improvement_over_parent": null }, "node_1396": { "node_id": "node_1396", "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 174.31 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.3106492623912, "fos_buckling": 0.3413446631135852, "fos_yielding": 1.001105760616059, "deflection": 0.017659566536492043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1397": { "node_id": "node_1397", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 176.05 kg\n Factor of Safety: 0.34\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.0501693491606, "fos_buckling": 0.3413446631135852, "fos_yielding": 1.001105760616059, "deflection": 0.017659566536492043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.359)" }, "parent_node_id": "node_1396", "improvement_over_parent": null }, "node_1398": { "node_id": "node_1398", "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 180.48 kg\n Factor of Safety: 0.34\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.4811659501716, "fos_buckling": 0.34128810577267815, "fos_yielding": 1.0397714196298145, "deflection": 0.017513610307208785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.546)" }, "parent_node_id": "node_1397", "improvement_over_parent": null }, "node_1399": { "node_id": "node_1399", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 198.13 kg\n Factor of Safety: 0.34\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.13375686024702, "fos_buckling": 0.34083813833632504, "fos_yielding": 1.0384986483211007, "deflection": 0.015406789757718614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003464)" }, "parent_node_id": "node_1398", "improvement_over_parent": null }, "node_1400": { "node_id": "node_1400", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 237.00 kg\n Factor of Safety: 0.40\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.99927882525958, "fos_buckling": 0.3965928734878982, "fos_yielding": 1.2375422731301957, "deflection": 0.012918603619604611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1399", "improvement_over_parent": null }, "node_1401": { "node_id": "node_1401", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 273.29 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.29398518434533, "fos_buckling": 0.445437553850664, "fos_yielding": 1.422055747008833, "deflection": 0.011233729123114716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1400", "improvement_over_parent": null }, "node_1402": { "node_id": "node_1402", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 277.31 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.31084559577596, "fos_buckling": 0.44523823270515084, "fos_yielding": 1.420876588208059, "deflection": 0.010715284576044551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.190)" }, "parent_node_id": "node_1401", "improvement_over_parent": null }, "node_1403": { "node_id": "node_1403", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3986378785521, "fos_buckling": 1.5139947480921139, "fos_yielding": 2.186857531553237, "deflection": 0.0051549722890919455, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_1402", "improvement_over_parent": null }, "node_1404": { "node_id": "node_1404", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1403", "improvement_over_parent": null }, "node_1405": { "node_id": "node_1405", "content": "INITIAL DESIGN (Trace 197)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 268.96 kg\n Factor of Safety: 1.02\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.95536745333675, "fos_buckling": 1.015726803593001, "fos_yielding": 1.9037508937037573, "deflection": 0.005919371651704435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1406": { "node_id": "node_1406", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 271.48 kg\n Factor of Safety: 1.17\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.481071231226, "fos_buckling": 1.168927520831173, "fos_yielding": 1.9692709377572075, "deflection": 0.005814352141127241, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002104)" }, "parent_node_id": "node_1405", "improvement_over_parent": null }, "node_1407": { "node_id": "node_1407", "content": "MODIFICATION: Increase 7 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 273.26 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.2622381936175, "fos_buckling": 1.390668706022118, "fos_yielding": 1.9709797534843785, "deflection": 0.005710497145624954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.597)" }, "parent_node_id": "node_1406", "improvement_over_parent": null }, "node_1408": { "node_id": "node_1408", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35104348142005, "fos_buckling": 1.5137788928996494, "fos_yielding": 2.186503573259015, "deflection": 0.005155865769436253, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1407", "improvement_over_parent": null }, "node_1409": { "node_id": "node_1409", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1408", "improvement_over_parent": null }, "node_1410": { "node_id": "node_1410", "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 201.91 kg\n Factor of Safety: 0.34\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.91438038418042, "fos_buckling": 0.3418719429006206, "fos_yielding": 1.041852531341639, "deflection": 0.01461601794312192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1411": { "node_id": "node_1411", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 229.09 kg\n Factor of Safety: 0.38\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.08593207969605, "fos_buckling": 0.3806186829199695, "fos_yielding": 1.1790555459175556, "deflection": 0.012914335545219875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1410", "improvement_over_parent": null }, "node_1412": { "node_id": "node_1412", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 250.65 kg\n Factor of Safety: 1.29\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.65373055547812, "fos_buckling": 1.2942415723156475, "fos_yielding": 1.8086897486919125, "deflection": 0.006214495510844875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004432)" }, "parent_node_id": "node_1411", "improvement_over_parent": null }, "node_1413": { "node_id": "node_1413", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.15596395179995, "fos_buckling": 1.5129262601308022, "fos_yielding": 2.1849267753803354, "deflection": 0.005158811585449622, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1412", "improvement_over_parent": null }, "node_1414": { "node_id": "node_1414", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1413", "improvement_over_parent": null }, "node_1415": { "node_id": "node_1415", "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 215.07 kg\n Factor of Safety: 0.79\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.06712169837513, "fos_buckling": 0.7855074967466176, "fos_yielding": 1.7717340185199448, "deflection": 0.008596049845290055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1416": { "node_id": "node_1416", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 220.57 kg\n Factor of Safety: 0.79\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.5743062777996, "fos_buckling": 0.786173432008323, "fos_yielding": 1.7717003336700536, "deflection": 0.008597327763252874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.406)" }, "parent_node_id": "node_1415", "improvement_over_parent": null }, "node_1417": { "node_id": "node_1417", "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 225.36 kg\n Factor of Safety: 0.79\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.35873682273171, "fos_buckling": 0.7864630533950424, "fos_yielding": 1.7877448907713978, "deflection": 0.00852690393056008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.312)" }, "parent_node_id": "node_1416", "improvement_over_parent": null }, "node_1418": { "node_id": "node_1418", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 229.96 kg\n Factor of Safety: 0.93\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.96280419592597, "fos_buckling": 0.9331543245869419, "fos_yielding": 1.814824500992669, "deflection": 0.007608778027999728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002701)" }, "parent_node_id": "node_1417", "improvement_over_parent": null }, "node_1419": { "node_id": "node_1419", "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 236.46 kg\n Factor of Safety: 0.93\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.4619181965004, "fos_buckling": 0.9324773603545956, "fos_yielding": 1.8105267695232645, "deflection": 0.007241189318110521, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.437)" }, "parent_node_id": "node_1418", "improvement_over_parent": null }, "node_1420": { "node_id": "node_1420", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 250.60 kg\n Factor of Safety: 1.29\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.59998892024467, "fos_buckling": 1.2941015846185229, "fos_yielding": 1.8083284587671509, "deflection": 0.006215888918838891, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003586)" }, "parent_node_id": "node_1419", "improvement_over_parent": null }, "node_1421": { "node_id": "node_1421", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5402432811133, "fos_buckling": 1.5145667557590272, "fos_yielding": 2.187706003143265, "deflection": 0.005152501495137295, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1420", "improvement_over_parent": null }, "node_1422": { "node_id": "node_1422", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1421", "improvement_over_parent": null }, "node_1423": { "node_id": "node_1423", "content": "INITIAL DESIGN (Trace 200)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0010)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 132.86 kg\n Factor of Safety: 0.27\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.8562625106357, "fos_buckling": 0.26719093133569566, "fos_yielding": 0.6158965867407772, "deflection": 0.019833561896352325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1424": { "node_id": "node_1424", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 159.99 kg\n Factor of Safety: 0.32\n Max Deflection: 1.65e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.98563575351503, "fos_buckling": 0.3191747782466192, "fos_yielding": 0.7435018046300307, "deflection": 0.016493303630813597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1423", "improvement_over_parent": null }, "node_1425": { "node_id": "node_1425", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 0.36\n Max Deflection: 1.47e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.44294675101267, "fos_buckling": 0.3556820913341297, "fos_yielding": 0.8354637915871962, "deflection": 0.014719480718990359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1424", "improvement_over_parent": null }, "node_1426": { "node_id": "node_1426", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 0.88\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.05992781731163, "fos_buckling": 0.8818730837924522, "fos_yielding": 1.483012350138964, "deflection": 0.0077044419010449195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003934)" }, "parent_node_id": "node_1425", "improvement_over_parent": null }, "node_1427": { "node_id": "node_1427", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 264.21 kg\n Factor of Safety: 1.13\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.2075193988593, "fos_buckling": 1.1252902475060846, "fos_yielding": 1.9173653919429143, "deflection": 0.005975500109664204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1426", "improvement_over_parent": null }, "node_1428": { "node_id": "node_1428", "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 266.00 kg\n Factor of Safety: 1.36\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.0047553232904, "fos_buckling": 1.359471333012894, "fos_yielding": 1.919118299826222, "deflection": 0.005863199300086134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.629)" }, "parent_node_id": "node_1427", "improvement_over_parent": null }, "node_1429": { "node_id": "node_1429", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.53074177807446, "fos_buckling": 1.5138365142345218, "fos_yielding": 2.1879781787904355, "deflection": 0.005153007095551436, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1428", "improvement_over_parent": null }, "node_1430": { "node_id": "node_1430", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1429", "improvement_over_parent": null }, "node_1431": { "node_id": "node_1431", "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 173.94 kg\n Factor of Safety: 0.12\n Max Deflection: 3.04e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.93817870658006, "fos_buckling": 0.11781900680122093, "fos_yielding": 0.6902185415234664, "deflection": 30370469377539.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1432": { "node_id": "node_1432", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 176.12 kg\n Factor of Safety: 0.03\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.12313764745102, "fos_buckling": 0.02945475170030523, "fos_yielding": 0.1725546353808666, "deflection": 103993411007770.98, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.190)" }, "parent_node_id": "node_1431", "improvement_over_parent": null }, "node_1433": { "node_id": "node_1433", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 206.33 kg\n Factor of Safety: 0.03\n Max Deflection: 8.49e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.3256373390148, "fos_buckling": 0.028698616556784483, "fos_yielding": 0.14860709519394188, "deflection": 84922427347646.12, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1432", "improvement_over_parent": null }, "node_1434": { "node_id": "node_1434", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 232.12 kg\n Factor of Safety: 0.40\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.11626488142875, "fos_buckling": 0.40033469974230135, "fos_yielding": 1.188856761551535, "deflection": 10184229272861.537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1433", "improvement_over_parent": null }, "node_1435": { "node_id": "node_1435", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 256.46 kg\n Factor of Safety: 0.30\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.4573928868057, "fos_buckling": 0.3011362965680588, "fos_yielding": 0.9245177921640978, "deflection": 0.023755462833025563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1434", "improvement_over_parent": null }, "node_1436": { "node_id": "node_1436", "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 261.41 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.40576079169455, "fos_buckling": 0.301136296568059, "fos_yielding": 0.9149363364830628, "deflection": 0.023734950651842293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.412)" }, "parent_node_id": "node_1435", "improvement_over_parent": null }, "node_1437": { "node_id": "node_1437", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 297.79 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.78815824717367, "fos_buckling": 0.8893019818612293, "fos_yielding": 2.1587835797707213, "deflection": 0.00651934144654717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1436", "improvement_over_parent": null }, "node_1438": { "node_id": "node_1438", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3623579121499, "fos_buckling": 1.5140391707607825, "fos_yielding": 2.1865034660901257, "deflection": 0.005155527555270011, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1437", "improvement_over_parent": null }, "node_1439": { "node_id": "node_1439", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1438", "improvement_over_parent": null }, "node_1440": { "node_id": "node_1440", "content": "INITIAL DESIGN (Trace 202)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.56 kg\n Factor of Safety: 0.72\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.5596608957115, "fos_buckling": 0.7176924293899148, "fos_yielding": 1.3385989704468864, "deflection": 0.009760479707119213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1441": { "node_id": "node_1441", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 203.75 kg\n Factor of Safety: 0.82\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.74640262070926, "fos_buckling": 0.8215337565102564, "fos_yielding": 1.5613386368452915, "deflection": 0.008381902014842221, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1440", "improvement_over_parent": null }, "node_1442": { "node_id": "node_1442", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.84 kg\n Factor of Safety: 0.92\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.84334475971716, "fos_buckling": 0.9238486058121178, "fos_yielding": 1.790703200797467, "deflection": 0.007320727331972744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_1441", "improvement_over_parent": null }, "node_1443": { "node_id": "node_1443", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 1.28\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.81671375624927, "fos_buckling": 1.2819761323640937, "fos_yielding": 1.7885321671480943, "deflection": 0.006284493717523026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003541)" }, "parent_node_id": "node_1442", "improvement_over_parent": null }, "node_1444": { "node_id": "node_1444", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.55823305710794, "fos_buckling": 1.514596472908305, "fos_yielding": 2.18804365524178, "deflection": 0.005152305277243498, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1443", "improvement_over_parent": null }, "node_1445": { "node_id": "node_1445", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1444", "improvement_over_parent": null }, "node_1446": { "node_id": "node_1446", "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 165.19 kg\n Factor of Safety: 0.39\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.19089937279645, "fos_buckling": 0.3876120245971334, "fos_yielding": 1.2591616162625598, "deflection": 0.010698571124954521, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1447": { "node_id": "node_1447", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 215.33 kg\n Factor of Safety: 0.48\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.33157965626623, "fos_buckling": 0.4838069841359672, "fos_yielding": 1.6369926881786854, "deflection": 0.008248604184674609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1446", "improvement_over_parent": null }, "node_1448": { "node_id": "node_1448", "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 218.77 kg\n Factor of Safety: 0.48\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.76777986336248, "fos_buckling": 0.48368493957690567, "fos_yielding": 1.6368990055740609, "deflection": 0.008250614586819522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.318)" }, "parent_node_id": "node_1447", "improvement_over_parent": null }, "node_1449": { "node_id": "node_1449", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 234.30 kg\n Factor of Safety: 0.48\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.29568560031652, "fos_buckling": 0.4831341972003468, "fos_yielding": 1.6364757952733664, "deflection": 0.007513500359154867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003023)" }, "parent_node_id": "node_1448", "improvement_over_parent": null }, "node_1450": { "node_id": "node_1450", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 257.11 kg\n Factor of Safety: 1.32\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.1141555260103, "fos_buckling": 1.3220147754515856, "fos_yielding": 1.9336504622354793, "deflection": 0.005962695296156152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004416)" }, "parent_node_id": "node_1449", "improvement_over_parent": null }, "node_1451": { "node_id": "node_1451", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.69 kg\n Factor of Safety: 1.46\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.6933717065451, "fos_buckling": 1.4611325655896732, "fos_yielding": 2.183655468045357, "deflection": 0.005287823604557718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1450", "improvement_over_parent": null }, "node_1452": { "node_id": "node_1452", "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.71 kg\n Factor of Safety: 1.46\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.7061717010985, "fos_buckling": 1.4626813844101638, "fos_yielding": 2.1804257972316257, "deflection": 0.005213947240321282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.447)" }, "parent_node_id": "node_1451", "improvement_over_parent": null }, "node_1453": { "node_id": "node_1453", "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 305.21 kg\n Factor of Safety: 1.46\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.21382640837936, "fos_buckling": 1.4590579799494918, "fos_yielding": 2.1828651030384667, "deflection": 0.005179328592399808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.418)" }, "parent_node_id": "node_1452", "improvement_over_parent": null }, "node_1454": { "node_id": "node_1454", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1453", "improvement_over_parent": null }, "node_1455": { "node_id": "node_1455", "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 230.35 kg\n Factor of Safety: 0.92\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.35347940980103, "fos_buckling": 0.917833424725081, "fos_yielding": 1.914703869172369, "deflection": 0.00747159347045352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1456": { "node_id": "node_1456", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 250.32 kg\n Factor of Safety: 1.03\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.31948602515158, "fos_buckling": 1.026446837804496, "fos_yielding": 1.881594081508807, "deflection": 0.0064280076584732415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004062)" }, "parent_node_id": "node_1455", "improvement_over_parent": null }, "node_1457": { "node_id": "node_1457", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 291.23 kg\n Factor of Safety: 1.18\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.23330002730455, "fos_buckling": 1.175803596235543, "fos_yielding": 2.186122099974634, "deflection": 0.0055389924538383995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1456", "improvement_over_parent": null }, "node_1458": { "node_id": "node_1458", "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35614990769636, "fos_buckling": 1.5140413321551183, "fos_yielding": 2.1864535393739177, "deflection": 0.005155652441401567, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.548)" }, "parent_node_id": "node_1457", "improvement_over_parent": null }, "node_1459": { "node_id": "node_1459", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1458", "improvement_over_parent": null }, "node_1460": { "node_id": "node_1460", "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 236.02 kg\n Factor of Safety: 0.39\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.01786884169056, "fos_buckling": 0.39370916395058997, "fos_yielding": 1.2029091800397231, "deflection": 0.012476663769096443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1461": { "node_id": "node_1461", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.51 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.51051849745056, "fos_buckling": 0.44536979201644233, "fos_yielding": 1.3942093123678891, "deflection": 0.010765430358342105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1460", "improvement_over_parent": null }, "node_1462": { "node_id": "node_1462", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.38 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.38227104989994, "fos_buckling": 0.4453222996096765, "fos_yielding": 1.4212157089354325, "deflection": 0.010712575760975947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.321)" }, "parent_node_id": "node_1461", "improvement_over_parent": null }, "node_1463": { "node_id": "node_1463", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4700633326761, "fos_buckling": 1.5143098317854495, "fos_yielding": 2.187361486332096, "deflection": 0.005153856552834188, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_1462", "improvement_over_parent": null }, "node_1464": { "node_id": "node_1464", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1463", "improvement_over_parent": null }, "node_1465": { "node_id": "node_1465", "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 176.11 kg\n Factor of Safety: 0.38\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.11327948435758, "fos_buckling": 0.37501521389063514, "fos_yielding": 1.214136505221993, "deflection": 0.010149952672982535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1466": { "node_id": "node_1466", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 193.00 kg\n Factor of Safety: 0.90\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.00143054875127, "fos_buckling": 0.8979084341937119, "fos_yielding": 1.4342246850517393, "deflection": 0.00807235895825958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003199)" }, "parent_node_id": "node_1465", "improvement_over_parent": null }, "node_1467": { "node_id": "node_1467", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 237.08 kg\n Factor of Safety: 1.09\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.07825034887324, "fos_buckling": 1.0902654518175143, "fos_yielding": 1.75944536556373, "deflection": 0.006592609467782552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_1466", "improvement_over_parent": null }, "node_1468": { "node_id": "node_1468", "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 242.30 kg\n Factor of Safety: 1.04\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.30172933170653, "fos_buckling": 1.037837596721706, "fos_yielding": 1.7591196190832246, "deflection": 0.006505503344286353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.391)" }, "parent_node_id": "node_1467", "improvement_over_parent": null }, "node_1469": { "node_id": "node_1469", "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.96 kg\n Factor of Safety: 1.27\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.95810028654475, "fos_buckling": 1.2651743461515594, "fos_yielding": 1.7607442313010075, "deflection": 0.006382080916080974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.629)" }, "parent_node_id": "node_1468", "improvement_over_parent": null }, "node_1470": { "node_id": "node_1470", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.07 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.06994619968754, "fos_buckling": 1.512703923525428, "fos_yielding": 2.1844335291787815, "deflection": 0.005160467459225088, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1469", "improvement_over_parent": null }, "node_1471": { "node_id": "node_1471", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1470", "improvement_over_parent": null }, "node_1472": { "node_id": "node_1472", "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 193.85 kg\n Factor of Safety: 0.72\n Max Deflection: 1.09e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.85011924901133, "fos_buckling": 0.7161474082784415, "fos_yielding": 1.5152743364389276, "deflection": 10922363197117.992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1473": { "node_id": "node_1473", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 213.95 kg\n Factor of Safety: 0.22\n Max Deflection: 3.14e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.94929395031528, "fos_buckling": 0.21891026861048135, "fos_yielding": 1.1795684835725377, "deflection": 0.031407297784898355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003851)" }, "parent_node_id": "node_1472", "improvement_over_parent": null }, "node_1474": { "node_id": "node_1474", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 216.14 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.13513488402245, "fos_buckling": 0.3623631475205791, "fos_yielding": 1.1138984774026315, "deflection": 0.01367187139964363, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001800)" }, "parent_node_id": "node_1473", "improvement_over_parent": null }, "node_1475": { "node_id": "node_1475", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 245.83 kg\n Factor of Safety: 0.40\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.8271230396922, "fos_buckling": 0.4036500348199676, "fos_yielding": 1.2634135189589981, "deflection": 0.012053017113862629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1474", "improvement_over_parent": null }, "node_1476": { "node_id": "node_1476", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 268.96 kg\n Factor of Safety: 1.37\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.96015351405936, "fos_buckling": 1.3725752719336648, "fos_yielding": 1.9400542330792705, "deflection": 0.005799735439688519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004781)" }, "parent_node_id": "node_1475", "improvement_over_parent": null }, "node_1477": { "node_id": "node_1477", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.23168927204597, "fos_buckling": 1.5132892950450094, "fos_yielding": 2.185553695375656, "deflection": 0.0051576711418404525, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_1476", "improvement_over_parent": null }, "node_1478": { "node_id": "node_1478", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1477", "improvement_over_parent": null }, "node_1479": { "node_id": "node_1479", "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.36\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.5338446795945, "fos_buckling": 0.35937695525646474, "fos_yielding": 0.8412931638792461, "deflection": 0.01772320732808232, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1480": { "node_id": "node_1480", "content": "MODIFICATION: Increase 12 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 180.90 kg\n Factor of Safety: 0.36\n Max Deflection: 1.70e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.89613214021537, "fos_buckling": 0.3592915086614727, "fos_yielding": 0.8410943606194861, "deflection": 0.01696260728038332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.504)" }, "parent_node_id": "node_1479", "improvement_over_parent": null }, "node_1481": { "node_id": "node_1481", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 200.98 kg\n Factor of Safety: 0.87\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.9797288399753, "fos_buckling": 0.8727687784570847, "fos_yielding": 1.8451290691848636, "deflection": 0.00828507092341199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004105)" }, "parent_node_id": "node_1480", "improvement_over_parent": null }, "node_1482": { "node_id": "node_1482", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 214.86 kg\n Factor of Safety: 0.88\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.8608520228172, "fos_buckling": 0.8791249508707991, "fos_yielding": 1.6884488096115962, "deflection": 0.007755721888765904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003178)" }, "parent_node_id": "node_1481", "improvement_over_parent": null }, "node_1483": { "node_id": "node_1483", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 233.60 kg\n Factor of Safety: 1.22\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.60262106162634, "fos_buckling": 1.2193968920910938, "fos_yielding": 1.6863511084163734, "deflection": 0.006659917632548553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003693)" }, "parent_node_id": "node_1482", "improvement_over_parent": null }, "node_1484": { "node_id": "node_1484", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41176008836385, "fos_buckling": 1.5139781249646296, "fos_yielding": 2.186815300268423, "deflection": 0.005154928045838087, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1483", "improvement_over_parent": null }, "node_1485": { "node_id": "node_1485", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1484", "improvement_over_parent": null }, "node_1486": { "node_id": "node_1486", "content": "INITIAL DESIGN (Trace 209)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 197.86 kg\n Factor of Safety: 0.42\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.8632446536307, "fos_buckling": 0.4197942548812388, "fos_yielding": 1.3826629501564418, "deflection": 0.010552000958886986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1487": { "node_id": "node_1487", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 217.11 kg\n Factor of Safety: 0.54\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.10824502972906, "fos_buckling": 0.5394557036572452, "fos_yielding": 1.6168675789226972, "deflection": 0.009094696313697885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003676)" }, "parent_node_id": "node_1486", "improvement_over_parent": null }, "node_1488": { "node_id": "node_1488", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 262.56 kg\n Factor of Safety: 0.64\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.55639327809865, "fos_buckling": 0.6426144203970341, "fos_yielding": 1.952764911934902, "deflection": 0.007535351614259549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1487", "improvement_over_parent": null }, "node_1489": { "node_id": "node_1489", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 267.59 kg\n Factor of Safety: 1.20\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.5855048385577, "fos_buckling": 1.1952651048105276, "fos_yielding": 1.977681743469822, "deflection": 0.005792784792657875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002972)" }, "parent_node_id": "node_1488", "improvement_over_parent": null }, "node_1490": { "node_id": "node_1490", "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 274.04 kg\n Factor of Safety: 1.19\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.03783222832766, "fos_buckling": 1.1882503611440298, "fos_yielding": 1.96219479032264, "deflection": 0.005754469689776514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.449)" }, "parent_node_id": "node_1489", "improvement_over_parent": null }, "node_1491": { "node_id": "node_1491", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0061)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.30\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.6422188520174, "fos_buckling": 1.3037253826831077, "fos_yielding": 2.1732552130823186, "deflection": 0.0052030558835233325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_1490", "improvement_over_parent": null }, "node_1492": { "node_id": "node_1492", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1491", "improvement_over_parent": null }, "node_1493": { "node_id": "node_1493", "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 162.35 kg\n Factor of Safety: 0.42\n Max Deflection: 3.70e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.34514210871703, "fos_buckling": 0.4211030714108205, "fos_yielding": 1.1888567615515349, "deflection": 3703884514771.585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1494": { "node_id": "node_1494", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n\nPerformance:\n Mass: 178.98 kg\n Factor of Safety: 0.63\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.97889327619947, "fos_buckling": 0.6254543451595119, "fos_yielding": 1.3814652274175887, "deflection": 0.010175020718898552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003359)" }, "parent_node_id": "node_1493", "improvement_over_parent": null }, "node_1495": { "node_id": "node_1495", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 182.53 kg\n Factor of Safety: 0.75\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.53277628087181, "fos_buckling": 0.7465045635744092, "fos_yielding": 1.399460538349129, "deflection": 0.009340077706787582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002049)" }, "parent_node_id": "node_1494", "improvement_over_parent": null }, "node_1496": { "node_id": "node_1496", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 221.22 kg\n Factor of Safety: 0.88\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.21638041151408, "fos_buckling": 0.8815008621072996, "fos_yielding": 1.6944953685613457, "deflection": 0.007730743373861466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1495", "improvement_over_parent": null }, "node_1497": { "node_id": "node_1497", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 234.44 kg\n Factor of Safety: 1.22\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.44274467819673, "fos_buckling": 1.2231815344606454, "fos_yielding": 1.692452882571375, "deflection": 0.006636242413539182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003338)" }, "parent_node_id": "node_1496", "improvement_over_parent": null }, "node_1498": { "node_id": "node_1498", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4327056302459, "fos_buckling": 1.5141184521466284, "fos_yielding": 2.187052037872261, "deflection": 0.0051544038593771095, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1497", "improvement_over_parent": null }, "node_1499": { "node_id": "node_1499", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1498", "improvement_over_parent": null }, "node_1500": { "node_id": "node_1500", "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 268.13 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.1260707847286, "fos_buckling": 1.0780797753246993, "fos_yielding": 1.976552183425422, "deflection": 0.005961454720634039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1501": { "node_id": "node_1501", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.9799199212885, "fos_buckling": 1.0780797753246993, "fos_yielding": 2.383894539047403, "deflection": 0.005961454720634039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.233)" }, "parent_node_id": "node_1500", "improvement_over_parent": null }, "node_1502": { "node_id": "node_1502", "content": "MODIFICATION: Increase 10 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.10300914887233, "fos_buckling": 1.0771276878455482, "fos_yielding": 2.395656954254262, "deflection": 0.005576770392111919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.548)" }, "parent_node_id": "node_1501", "improvement_over_parent": null }, "node_1503": { "node_id": "node_1503", "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.39 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.3875382559105, "fos_buckling": 1.0766124886488204, "fos_yielding": 2.39514801125057, "deflection": 0.005577821070323909, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.383)" }, "parent_node_id": "node_1502", "improvement_over_parent": null }, "node_1504": { "node_id": "node_1504", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41930494114024, "fos_buckling": 1.5141219753744715, "fos_yielding": 2.186250025237845, "deflection": 0.00515469615589586, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1503", "improvement_over_parent": null }, "node_1505": { "node_id": "node_1505", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1504", "improvement_over_parent": null }, "node_1506": { "node_id": "node_1506", "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.21 kg\n Factor of Safety: 0.92\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.2139808384758, "fos_buckling": 0.9226227746112481, "fos_yielding": 1.9088503688158391, "deflection": 0.007073481029733568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1507": { "node_id": "node_1507", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.56 kg\n Factor of Safety: 0.95\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.5551088438527, "fos_buckling": 0.9469524406322228, "fos_yielding": 1.9213760673245694, "deflection": 0.007083780807541668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1506", "improvement_over_parent": null }, "node_1508": { "node_id": "node_1508", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 294.24 kg\n Factor of Safety: 0.92\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.24348010234127, "fos_buckling": 0.920158677094466, "fos_yielding": 1.8989797647384008, "deflection": 0.006531793067258418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1507", "improvement_over_parent": null }, "node_1509": { "node_id": "node_1509", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 295.82 kg\n Factor of Safety: 0.91\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.8238553628901, "fos_buckling": 0.9052814677540818, "fos_yielding": 1.8864509176816282, "deflection": 0.006481209676279503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.664)" }, "parent_node_id": "node_1508", "improvement_over_parent": null }, "node_1510": { "node_id": "node_1510", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 301.40 kg\n Factor of Safety: 1.12\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.3980550278663, "fos_buckling": 1.1181184040906254, "fos_yielding": 1.5881765799427987, "deflection": 0.0052729611412179085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1509", "improvement_over_parent": null }, "node_1511": { "node_id": "node_1511", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1510", "improvement_over_parent": null }, "node_1512": { "node_id": "node_1512", "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 249.58 kg\n Factor of Safety: 0.79\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.57910456397002, "fos_buckling": 0.7852783492299619, "fos_yielding": 1.85921868528104, "deflection": 0.007558858672206523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1513": { "node_id": "node_1513", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 254.37 kg\n Factor of Safety: 1.25\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.3737832824746, "fos_buckling": 1.2541950378839883, "fos_yielding": 1.8794974405499263, "deflection": 0.0060508724942505985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002822)" }, "parent_node_id": "node_1512", "improvement_over_parent": null }, "node_1514": { "node_id": "node_1514", "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0067)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 265.83 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.8272299157238, "fos_buckling": 1.3467006424227093, "fos_yielding": 1.8758843126596305, "deflection": 0.005927563703342346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.656)" }, "parent_node_id": "node_1513", "improvement_over_parent": null }, "node_1515": { "node_id": "node_1515", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 308.84 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.83941633366516, "fos_buckling": 1.5231421961647431, "fos_yielding": 2.1795147629132496, "deflection": 0.005115654392800832, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1514", "improvement_over_parent": null }, "node_1516": { "node_id": "node_1516", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1515", "improvement_over_parent": null }, "node_1517": { "node_id": "node_1517", "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 189.72 kg\n Factor of Safety: 0.40\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.7236205549522, "fos_buckling": 0.39877312757713423, "fos_yielding": 1.3035092884278197, "deflection": 0.009719189904770538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1518": { "node_id": "node_1518", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 207.86 kg\n Factor of Safety: 1.14\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8621162826689, "fos_buckling": 1.1434965513925905, "fos_yielding": 1.5377051528961987, "deflection": 0.007638042263839318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003451)" }, "parent_node_id": "node_1517", "improvement_over_parent": null }, "node_1519": { "node_id": "node_1519", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 212.89 kg\n Factor of Safety: 1.13\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.88501218670226, "fos_buckling": 1.1276690451999174, "fos_yielding": 1.5379566612722393, "deflection": 0.007285903074639528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.412)" }, "parent_node_id": "node_1518", "improvement_over_parent": null }, "node_1520": { "node_id": "node_1520", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 213.40 kg\n Factor of Safety: 1.13\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.3962450950403, "fos_buckling": 1.1282361831336236, "fos_yielding": 1.5412428748370166, "deflection": 0.007279029517361734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.372)" }, "parent_node_id": "node_1519", "improvement_over_parent": null }, "node_1521": { "node_id": "node_1521", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.39 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.3872968636886, "fos_buckling": 1.386979695963599, "fos_yielding": 1.9646575093646002, "deflection": 0.005728334657209381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_1520", "improvement_over_parent": null }, "node_1522": { "node_id": "node_1522", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3718800867326, "fos_buckling": 1.5138395070049362, "fos_yielding": 2.1865969718577714, "deflection": 0.005155410295916017, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1521", "improvement_over_parent": null }, "node_1523": { "node_id": "node_1523", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1522", "improvement_over_parent": null }, "node_1524": { "node_id": "node_1524", "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 153.65 kg\n Factor of Safety: 0.36\n Max Deflection: 1.51e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.6524121768594, "fos_buckling": 0.36307861479727727, "fos_yielding": 1.0161916154486927, "deflection": 151442636015.08304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1525": { "node_id": "node_1525", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n\nPerformance:\n Mass: 155.59 kg\n Factor of Safety: 0.36\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.5881706601315, "fos_buckling": 0.3624480223610605, "fos_yielding": 1.0161694138333275, "deflection": 0.01621789913155393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001581)" }, "parent_node_id": "node_1524", "improvement_over_parent": null }, "node_1526": { "node_id": "node_1526", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 164.35 kg\n Factor of Safety: 0.36\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.34652577694465, "fos_buckling": 0.36232918538331116, "fos_yielding": 1.0161694138333275, "deflection": 0.01580482452617071, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002548)" }, "parent_node_id": "node_1525", "improvement_over_parent": null }, "node_1527": { "node_id": "node_1527", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 210.23 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.2286066881511, "fos_buckling": 0.4466818627461147, "fos_yielding": 1.2984999259194747, "deflection": 0.012385579016726182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1526", "improvement_over_parent": null }, "node_1528": { "node_id": "node_1528", "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0062)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 218.61 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.60764699139477, "fos_buckling": 0.44654223839080404, "fos_yielding": 1.2984999259194747, "deflection": 0.012290506474426283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.414)" }, "parent_node_id": "node_1527", "improvement_over_parent": null }, "node_1529": { "node_id": "node_1529", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 247.33 kg\n Factor of Safety: 0.49\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.32504642607313, "fos_buckling": 0.4941140514060601, "fos_yielding": 1.4692488790617242, "deflection": 0.010872550821549146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1528", "improvement_over_parent": null }, "node_1530": { "node_id": "node_1530", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 283.71 kg\n Factor of Safety: 1.13\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.70744388155225, "fos_buckling": 1.1337004210054065, "fos_yielding": 2.248160706613362, "deflection": 0.006238067707244678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1529", "improvement_over_parent": null }, "node_1531": { "node_id": "node_1531", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0071)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 306.93 kg\n Factor of Safety: 1.49\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.93096426270023, "fos_buckling": 1.4853895439189524, "fos_yielding": 2.2046714639688423, "deflection": 0.005133750075330268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1530", "improvement_over_parent": null }, "node_1532": { "node_id": "node_1532", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1531", "improvement_over_parent": null }, "node_1533": { "node_id": "node_1533", "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 183.36 kg\n Factor of Safety: 0.81\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.3599749793062, "fos_buckling": 0.8103532671939616, "fos_yielding": 1.5307068296452973, "deflection": 0.00999465202705098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1534": { "node_id": "node_1534", "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 189.24 kg\n Factor of Safety: 0.81\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.2415615597786, "fos_buckling": 0.809819389138547, "fos_yielding": 1.5344022362718663, "deflection": 0.009523709556724446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.506)" }, "parent_node_id": "node_1533", "improvement_over_parent": null }, "node_1535": { "node_id": "node_1535", "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.34 kg\n Factor of Safety: 0.81\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.3403056271793, "fos_buckling": 0.809632038437369, "fos_yielding": 1.5343653902926675, "deflection": 0.008901790674376967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.272)" }, "parent_node_id": "node_1534", "improvement_over_parent": null }, "node_1536": { "node_id": "node_1536", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 195.15 kg\n Factor of Safety: 0.81\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.14851932660386, "fos_buckling": 0.8094623281224879, "fos_yielding": 1.534332000427293, "deflection": 0.008524708159015137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.198)" }, "parent_node_id": "node_1535", "improvement_over_parent": null }, "node_1537": { "node_id": "node_1537", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 212.17 kg\n Factor of Safety: 1.12\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.16890277864584, "fos_buckling": 1.1225578044609783, "fos_yielding": 1.5324496782375185, "deflection": 0.007320495459139426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003332)" }, "parent_node_id": "node_1536", "improvement_over_parent": null }, "node_1538": { "node_id": "node_1538", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 245.12 kg\n Factor of Safety: 1.27\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.11927967912692, "fos_buckling": 1.270133686418679, "fos_yielding": 1.7691122738828688, "deflection": 0.006352400520894206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1537", "improvement_over_parent": null }, "node_1539": { "node_id": "node_1539", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38743769303414, "fos_buckling": 1.5138297720660283, "fos_yielding": 2.1867474333564316, "deflection": 0.005155183228306176, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1538", "improvement_over_parent": null }, "node_1540": { "node_id": "node_1540", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1539", "improvement_over_parent": null }, "node_1541": { "node_id": "node_1541", "content": "INITIAL DESIGN (Trace 217)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n Mass: 198.62 kg\n Factor of Safety: 0.27\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.61508034151487, "fos_buckling": 0.2718426310264212, "fos_yielding": 1.3419809285516309, "deflection": 18319550774314.496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1542": { "node_id": "node_1542", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 214.61 kg\n Factor of Safety: 0.49\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.61445335647997, "fos_buckling": 0.4862071036059233, "fos_yielding": 1.6429416929779823, "deflection": 0.007789997703853499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003704)" }, "parent_node_id": "node_1541", "improvement_over_parent": null }, "node_1543": { "node_id": "node_1543", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 222.20 kg\n Factor of Safety: 0.49\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.1968169215048, "fos_buckling": 0.48593591428760796, "fos_yielding": 1.6427341264918713, "deflection": 0.0075296209653679825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.333)" }, "parent_node_id": "node_1542", "improvement_over_parent": null }, "node_1544": { "node_id": "node_1544", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 245.08 kg\n Factor of Safety: 0.82\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.0771633708409, "fos_buckling": 0.819781142702397, "fos_yielding": 1.89100408734862, "deflection": 0.006404546741288564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004429)" }, "parent_node_id": "node_1543", "improvement_over_parent": null }, "node_1545": { "node_id": "node_1545", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 256.60 kg\n Factor of Safety: 1.26\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.598643855917, "fos_buckling": 1.2590644198915957, "fos_yielding": 1.9081309449418562, "deflection": 0.005987525192994004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002440)" }, "parent_node_id": "node_1544", "improvement_over_parent": null }, "node_1546": { "node_id": "node_1546", "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 262.67 kg\n Factor of Safety: 1.30\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.6676719628834, "fos_buckling": 1.2954127250032552, "fos_yielding": 1.9385193636482871, "deflection": 0.005865660537904038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.656)" }, "parent_node_id": "node_1545", "improvement_over_parent": null }, "node_1547": { "node_id": "node_1547", "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 273.64 kg\n Factor of Safety: 1.38\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.64059580744606, "fos_buckling": 1.3808987874744432, "fos_yielding": 1.934958904822205, "deflection": 0.005753511417142635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.610)" }, "parent_node_id": "node_1546", "improvement_over_parent": null }, "node_1548": { "node_id": "node_1548", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0077)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 308.29 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.2881362996934, "fos_buckling": 1.522239279678628, "fos_yielding": 2.1798507264814044, "deflection": 0.0051181862935002565, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_1547", "improvement_over_parent": null }, "node_1549": { "node_id": "node_1549", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1548", "improvement_over_parent": null }, "node_1550": { "node_id": "node_1550", "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 220.98 kg\n Factor of Safety: 0.56\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.98373895838216, "fos_buckling": 0.5576225594620448, "fos_yielding": 1.815947237543625, "deflection": 0.009706428370627953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1551": { "node_id": "node_1551", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 268.50 kg\n Factor of Safety: 0.67\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.50330409359583, "fos_buckling": 0.6670075263071856, "fos_yielding": 2.1983910420928328, "deflection": 0.007999357044750355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1550", "improvement_over_parent": null }, "node_1552": { "node_id": "node_1552", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 274.08 kg\n Factor of Safety: 1.08\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.07750375857205, "fos_buckling": 1.0787520592542708, "fos_yielding": 2.3965912697519203, "deflection": 0.005936010137631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1551", "improvement_over_parent": null }, "node_1553": { "node_id": "node_1553", "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 281.69 kg\n Factor of Safety: 1.08\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.6906475517794, "fos_buckling": 1.077555661507857, "fos_yielding": 2.395412130229889, "deflection": 0.005938767199045538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.488)" }, "parent_node_id": "node_1552", "improvement_over_parent": null }, "node_1554": { "node_id": "node_1554", "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 290.13 kg\n Factor of Safety: 1.08\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.1316856378542, "fos_buckling": 1.0768935539314786, "fos_yielding": 2.3743702148681187, "deflection": 0.005852418146408615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.397)" }, "parent_node_id": "node_1553", "improvement_over_parent": null }, "node_1555": { "node_id": "node_1555", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 300.76 kg\n Factor of Safety: 1.27\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.7609294835321, "fos_buckling": 1.2696571125132847, "fos_yielding": 2.1833431341950025, "deflection": 0.005422195339340551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003135)" }, "parent_node_id": "node_1554", "improvement_over_parent": null }, "node_1556": { "node_id": "node_1556", "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0053)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 302.56 kg\n Factor of Safety: 1.27\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.55751158218214, "fos_buckling": 1.266247626573701, "fos_yielding": 2.1832511733350675, "deflection": 0.005379898916563574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.212)" }, "parent_node_id": "node_1555", "improvement_over_parent": null }, "node_1557": { "node_id": "node_1557", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1556", "improvement_over_parent": null }, "node_1558": { "node_id": "node_1558", "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 201.81 kg\n Factor of Safety: 0.46\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.80584210341453, "fos_buckling": 0.4633275945915393, "fos_yielding": 1.5335648762079295, "deflection": 0.010648941458512962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1559": { "node_id": "node_1559", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 215.94 kg\n Factor of Safety: 0.46\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.940256299528, "fos_buckling": 0.46283983934582906, "fos_yielding": 1.5332026492756279, "deflection": 0.008821079238469242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003585)" }, "parent_node_id": "node_1558", "improvement_over_parent": null }, "node_1560": { "node_id": "node_1560", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 218.26 kg\n Factor of Safety: 0.60\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.2556594702015, "fos_buckling": 0.59553532985942, "fos_yielding": 1.7866543475684966, "deflection": 0.007515412434505452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001915)" }, "parent_node_id": "node_1559", "improvement_over_parent": null }, "node_1561": { "node_id": "node_1561", "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 225.91 kg\n Factor of Safety: 0.86\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.9111793433965, "fos_buckling": 0.8644067242834476, "fos_yielding": 1.786283094094625, "deflection": 0.007132814697158233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.585)" }, "parent_node_id": "node_1560", "improvement_over_parent": null }, "node_1562": { "node_id": "node_1562", "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0056)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 233.04 kg\n Factor of Safety: 0.86\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.0438666439954, "fos_buckling": 0.864873282773036, "fos_yielding": 1.80189448408159, "deflection": 0.007065608832432659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.372)" }, "parent_node_id": "node_1561", "improvement_over_parent": null }, "node_1563": { "node_id": "node_1563", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0069)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 282.11 kg\n Factor of Safety: 1.01\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.11430032828, "fos_buckling": 1.007801002667492, "fos_yielding": 2.1797534224853696, "deflection": 0.005849234137873536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_1562", "improvement_over_parent": null }, "node_1564": { "node_id": "node_1564", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0069)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 302.43 kg\n Factor of Safety: 1.16\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.42763521030685, "fos_buckling": 1.1606242341580875, "fos_yielding": 2.205902192604782, "deflection": 0.005469773625716611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1563", "improvement_over_parent": null }, "node_1565": { "node_id": "node_1565", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1564", "improvement_over_parent": null }, "node_1566": { "node_id": "node_1566", "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.16 kg\n Factor of Safety: 1.37\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.1637057464107, "fos_buckling": 1.3737681531013968, "fos_yielding": 2.1849586923654782, "deflection": 0.005506344743599975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1567": { "node_id": "node_1567", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.37\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.2619224412213, "fos_buckling": 1.3743439503409367, "fos_yielding": 2.185038451873212, "deflection": 0.005373273882890937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.179)" }, "parent_node_id": "node_1566", "improvement_over_parent": null }, "node_1568": { "node_id": "node_1568", "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.44 kg\n Factor of Safety: 1.36\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.4402512576166, "fos_buckling": 1.3577901035347075, "fos_yielding": 2.182720803320294, "deflection": 0.005225782509062985, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.199)" }, "parent_node_id": "node_1567", "improvement_over_parent": null }, "node_1569": { "node_id": "node_1569", "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.96 kg\n Factor of Safety: 1.47\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.9551994074726, "fos_buckling": 1.4675095358350694, "fos_yielding": 2.1971870092204493, "deflection": 0.0051764440202230625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.264)" }, "parent_node_id": "node_1568", "improvement_over_parent": null }, "node_1570": { "node_id": "node_1570", "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41455507689477, "fos_buckling": 1.514218950822307, "fos_yielding": 2.1869382645358275, "deflection": 0.005154690929822201, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.264)" }, "parent_node_id": "node_1569", "improvement_over_parent": null }, "node_1571": { "node_id": "node_1571", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1570", "improvement_over_parent": null }, "node_1572": { "node_id": "node_1572", "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 220.42 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.42111681436526, "fos_buckling": 0.453123099729806, "fos_yielding": 1.2695928955872626, "deflection": 0.01101500777261006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1573": { "node_id": "node_1573", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 238.68 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.67992365489323, "fos_buckling": 0.45219980709332563, "fos_yielding": 1.2684240584360034, "deflection": 0.010727369811010686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003987)" }, "parent_node_id": "node_1572", "improvement_over_parent": null }, "node_1574": { "node_id": "node_1574", "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 240.04 kg\n Factor of Safety: 0.45\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.03833704437494, "fos_buckling": 0.45219980709332575, "fos_yielding": 1.507806268830287, "deflection": 0.010533616037465969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.205)" }, "parent_node_id": "node_1573", "improvement_over_parent": null }, "node_1575": { "node_id": "node_1575", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.74 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.7400230678156, "fos_buckling": 1.3884234561668187, "fos_yielding": 1.9672607233584847, "deflection": 0.0057211399651856745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005336)" }, "parent_node_id": "node_1574", "improvement_over_parent": null }, "node_1576": { "node_id": "node_1576", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.51459955870916, "fos_buckling": 1.5143704562899474, "fos_yielding": 2.1877009040911655, "deflection": 0.00515309525368048, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1575", "improvement_over_parent": null }, "node_1577": { "node_id": "node_1577", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1576", "improvement_over_parent": null }, "node_1578": { "node_id": "node_1578", "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 197.14 kg\n Factor of Safety: 0.85\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.1369257238171, "fos_buckling": 0.853958111609093, "fos_yielding": 1.181692100066347, "deflection": 0.007926517849826257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1579": { "node_id": "node_1579", "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 198.95 kg\n Factor of Safety: 1.06\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.95040333916765, "fos_buckling": 1.0614986653368539, "fos_yielding": 1.437375085197511, "deflection": 0.007798961424935638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.433)" }, "parent_node_id": "node_1578", "improvement_over_parent": null }, "node_1580": { "node_id": "node_1580", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.03 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.02751974402312, "fos_buckling": 1.3132959037870497, "fos_yielding": 1.8401649165096516, "deflection": 0.006110196407813795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_1579", "improvement_over_parent": null }, "node_1581": { "node_id": "node_1581", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.555124539128, "fos_buckling": 1.5146930152276221, "fos_yielding": 2.187897938581815, "deflection": 0.0051523858010453895, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1580", "improvement_over_parent": null }, "node_1582": { "node_id": "node_1582", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1581", "improvement_over_parent": null }, "node_1583": { "node_id": "node_1583", "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 186.72 kg\n Factor of Safety: 0.03\n Max Deflection: 2.22e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.7171167575249, "fos_buckling": 0.02991312512088402, "fos_yielding": 0.07430354759697093, "deflection": 221619850754074.2, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1584": { "node_id": "node_1584", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 208.52 kg\n Factor of Safety: 0.86\n Max Deflection: 8.33e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.52411603033133, "fos_buckling": 0.8625132344372283, "fos_yielding": 1.6834578295522997, "deflection": 8331035145422.262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1583", "improvement_over_parent": null }, "node_1585": { "node_id": "node_1585", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 245.04 kg\n Factor of Safety: 0.03\n Max Deflection: 1.95e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.0442391854343, "fos_buckling": 0.028684745746037528, "fos_yielding": 0.07430354759697091, "deflection": 194707558441642.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1584", "improvement_over_parent": null }, "node_1586": { "node_id": "node_1586", "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.39 kg\n Factor of Safety: 0.34\n Max Deflection: 1.85e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.39054818093885, "fos_buckling": 0.3444205824795571, "fos_yielding": 1.1888567615515349, "deflection": 18544181326134.25, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.185)" }, "parent_node_id": "node_1585", "improvement_over_parent": null }, "node_1587": { "node_id": "node_1587", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 265.51 kg\n Factor of Safety: 0.49\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.50850341251333, "fos_buckling": 0.49304918121891267, "fos_yielding": 1.4399579427326186, "deflection": 0.009643108218388907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1586", "improvement_over_parent": null }, "node_1588": { "node_id": "node_1588", "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 0.49\n Max Deflection: 9.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.3987309766613, "fos_buckling": 0.4929840079905237, "fos_yielding": 1.4398718667663066, "deflection": 0.009511798436296355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.179)" }, "parent_node_id": "node_1587", "improvement_over_parent": null }, "node_1589": { "node_id": "node_1589", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 302.78 kg\n Factor of Safety: 1.45\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.7811284321404, "fos_buckling": 1.4479643856490851, "fos_yielding": 2.142316804982134, "deflection": 0.005166996489298327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1588", "improvement_over_parent": null }, "node_1590": { "node_id": "node_1590", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1589", "improvement_over_parent": null }, "node_1591": { "node_id": "node_1591", "content": "INITIAL DESIGN (Trace 224)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 148.44 kg\n Factor of Safety: 0.53\n Max Deflection: 1.89e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.4408488936595, "fos_buckling": 0.5295688974765286, "fos_yielding": 1.3320418621829269, "deflection": 18927119740898.562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1592": { "node_id": "node_1592", "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 150.17 kg\n Factor of Safety: 0.12\n Max Deflection: 4.54e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.16579231646799, "fos_buckling": 0.12336654048308887, "fos_yielding": 0.2972141903878837, "deflection": 45445366442020.25, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.193)" }, "parent_node_id": "node_1591", "improvement_over_parent": null }, "node_1593": { "node_id": "node_1593", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 196.08 kg\n Factor of Safety: 0.47\n Max Deflection: 6.36e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.08345438913395, "fos_buckling": 0.4748106432004433, "fos_yielding": 1.1888567615515349, "deflection": 6355635266283.771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1592", "improvement_over_parent": null }, "node_1594": { "node_id": "node_1594", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.81 kg\n Factor of Safety: 1.45\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.81493043267915, "fos_buckling": 1.447011083739894, "fos_yielding": 2.3229995061895967, "deflection": 6861453633505.759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1593", "improvement_over_parent": null }, "node_1595": { "node_id": "node_1595", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 246.39 kg\n Factor of Safety: 0.03\n Max Deflection: 1.67e+14 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.38677139801126, "fos_buckling": 0.02868272680650629, "fos_yielding": 0.07430354759697093, "deflection": 167272440091930.78, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.189)" }, "parent_node_id": "node_1594", "improvement_over_parent": null }, "node_1596": { "node_id": "node_1596", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 263.50 kg\n Factor of Safety: 0.49\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.5047266295857, "fos_buckling": 0.493108876257635, "fos_yielding": 1.6754948703927897, "deflection": 0.009523898850264159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1595", "improvement_over_parent": null }, "node_1597": { "node_id": "node_1597", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.89 kg\n Factor of Safety: 1.39\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.88712408506484, "fos_buckling": 1.385250710826133, "fos_yielding": 2.2013533427948326, "deflection": 0.005188905728551633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1596", "improvement_over_parent": null }, "node_1598": { "node_id": "node_1598", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0061)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.38\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.24071489413274, "fos_buckling": 1.3841107893392999, "fos_yielding": 2.2012083810029743, "deflection": 0.0051338068707052174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.404)" }, "parent_node_id": "node_1597", "improvement_over_parent": null }, "node_1599": { "node_id": "node_1599", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1598", "improvement_over_parent": null }, "node_1600": { "node_id": "node_1600", "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 231.59 kg\n Factor of Safety: 0.49\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.58789839246933, "fos_buckling": 0.48905557691848983, "fos_yielding": 1.6575056306708997, "deflection": 0.008352853183310513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1601": { "node_id": "node_1601", "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 234.38 kg\n Factor of Safety: 0.49\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.37554084842154, "fos_buckling": 0.48875533161745044, "fos_yielding": 1.6572747777605052, "deflection": 0.008139697515859808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.250)" }, "parent_node_id": "node_1600", "improvement_over_parent": null }, "node_1602": { "node_id": "node_1602", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 239.71 kg\n Factor of Safety: 0.49\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.71292084027405, "fos_buckling": 0.4881814922129907, "fos_yielding": 1.6568329529310803, "deflection": 0.007805832999208377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.304)" }, "parent_node_id": "node_1601", "improvement_over_parent": null }, "node_1603": { "node_id": "node_1603", "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 248.58 kg\n Factor of Safety: 0.49\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.58242445131827, "fos_buckling": 0.4872308767959937, "fos_yielding": 1.6560992619967312, "deflection": 0.007463012975073493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.664)" }, "parent_node_id": "node_1602", "improvement_over_parent": null }, "node_1604": { "node_id": "node_1604", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.76 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.7626278696218, "fos_buckling": 0.5321914202384748, "fos_yielding": 1.848437809655184, "deflection": 0.006700674580017928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1603", "improvement_over_parent": null }, "node_1605": { "node_id": "node_1605", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.55325541203575, "fos_buckling": 1.5147951946284683, "fos_yielding": 2.1881697197225294, "deflection": 0.005152633286719396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1604", "improvement_over_parent": null }, "node_1606": { "node_id": "node_1606", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1605", "improvement_over_parent": null }, "node_1607": { "node_id": "node_1607", "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1608": { "node_id": "node_1608", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 228.52 kg\n Factor of Safety: 0.89\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.52467486598613, "fos_buckling": 0.8934370823686364, "fos_yielding": 1.9017116611667182, "deflection": 0.010226240774704187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003284)" }, "parent_node_id": "node_1607", "improvement_over_parent": null }, "node_1609": { "node_id": "node_1609", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 238.60 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.59557395595823, "fos_buckling": 1.0213291172543395, "fos_yielding": 1.6867282418345868, "deflection": 0.006553677747805416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002958)" }, "parent_node_id": "node_1608", "improvement_over_parent": null }, "node_1610": { "node_id": "node_1610", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 300.54 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.5374298992295, "fos_buckling": 1.2298391953307075, "fos_yielding": 2.1215359997474534, "deflection": 0.005227337214721952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1609", "improvement_over_parent": null }, "node_1611": { "node_id": "node_1611", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.34168587837, "fos_buckling": 1.5137803587486534, "fos_yielding": 2.186423258999196, "deflection": 0.0051559538997452995, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1610", "improvement_over_parent": null }, "node_1612": { "node_id": "node_1612", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1611", "improvement_over_parent": null }, "node_1613": { "node_id": "node_1613", "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 138.31 kg\n Factor of Safety: 0.30\n Max Deflection: 1.77e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.31349932691896, "fos_buckling": 0.29854522395413, "fos_yielding": 0.9359114476165039, "deflection": 0.017724002592362082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1614": { "node_id": "node_1614", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 167.92 kg\n Factor of Safety: 0.35\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.92057079287179, "fos_buckling": 0.35445242331657567, "fos_yielding": 1.1347429572000964, "deflection": 0.014632686883675595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1613", "improvement_over_parent": null }, "node_1615": { "node_id": "node_1615", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n\nPerformance:\n Mass: 183.25 kg\n Factor of Safety: 0.78\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.2525717586318, "fos_buckling": 0.7789734065771001, "fos_yielding": 1.6006484663773364, "deflection": 0.008878351694573367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.002396)" }, "parent_node_id": "node_1614", "improvement_over_parent": null }, "node_1616": { "node_id": "node_1616", "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n\nPerformance:\n Mass: 192.72 kg\n Factor of Safety: 0.78\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.72309153917996, "fos_buckling": 0.7784294289249157, "fos_yielding": 1.561981757964863, "deflection": 0.008657486052283923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.637)" }, "parent_node_id": "node_1615", "improvement_over_parent": null }, "node_1617": { "node_id": "node_1617", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n\nPerformance:\n Mass: 215.33 kg\n Factor of Safety: 0.86\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.33304649530476, "fos_buckling": 0.8557202649363717, "fos_yielding": 1.7455052767668333, "deflection": 0.007757795379558121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1616", "improvement_over_parent": null }, "node_1618": { "node_id": "node_1618", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0068)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n\nPerformance:\n Mass: 243.68 kg\n Factor of Safety: 0.95\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.6817566809987, "fos_buckling": 0.9485841780287838, "fos_yielding": 1.9757974067479571, "deflection": 0.006865450491479726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1617", "improvement_over_parent": null }, "node_1619": { "node_id": "node_1619", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0068)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 259.07 kg\n Factor of Safety: 1.04\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.0742422156657, "fos_buckling": 1.0449456543803768, "fos_yielding": 1.8677945584259912, "deflection": 0.006368096605758209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003552)" }, "parent_node_id": "node_1618", "improvement_over_parent": null }, "node_1620": { "node_id": "node_1620", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0080)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.21\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.38866335162754, "fos_buckling": 1.205234154759016, "fos_yielding": 2.1869541003018456, "deflection": 0.005448773536064779, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1619", "improvement_over_parent": null }, "node_1621": { "node_id": "node_1621", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1620", "improvement_over_parent": null }, "node_1622": { "node_id": "node_1622", "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 255.78 kg\n Factor of Safety: 1.29\n Max Deflection: 3.76e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.78369549785805, "fos_buckling": 1.2905931046302859, "fos_yielding": 2.2672554770630438, "deflection": 3763303193422.3066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1623": { "node_id": "node_1623", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 281.57 kg\n Factor of Safety: 0.85\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.574323040272, "fos_buckling": 0.8509521693773342, "fos_yielding": 2.0903262470392105, "deflection": 0.008765544944943684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1622", "improvement_over_parent": null }, "node_1624": { "node_id": "node_1624", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 284.38 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.37857901941254, "fos_buckling": 1.0767852405462415, "fos_yielding": 2.3950779160317706, "deflection": 0.005837781630807481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1623", "improvement_over_parent": null }, "node_1625": { "node_id": "node_1625", "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 286.07 kg\n Factor of Safety: 1.08\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.0678991255949, "fos_buckling": 1.076520370380103, "fos_yielding": 2.395077916031771, "deflection": 0.005756360074384518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.477)" }, "parent_node_id": "node_1624", "improvement_over_parent": null }, "node_1626": { "node_id": "node_1626", "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 290.72 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.7233233785778, "fos_buckling": 1.075791115713342, "fos_yielding": 2.3950779160317697, "deflection": 0.005580403977291733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.379)" }, "parent_node_id": "node_1625", "improvement_over_parent": null }, "node_1627": { "node_id": "node_1627", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4116946370664, "fos_buckling": 1.5140688961935933, "fos_yielding": 2.186936794802523, "deflection": 0.00515477432393429, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1626", "improvement_over_parent": null }, "node_1628": { "node_id": "node_1628", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1627", "improvement_over_parent": null }, "node_1629": { "node_id": "node_1629", "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 216.57 kg\n Factor of Safety: 0.44\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.57353770380692, "fos_buckling": 0.4402992290873751, "fos_yielding": 1.460337139492978, "deflection": 0.011388421173898869, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1630": { "node_id": "node_1630", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.91 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.90500704445589, "fos_buckling": 0.49323891908758727, "fos_yielding": 1.6759226066388702, "deflection": 0.009933957771293111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1629", "improvement_over_parent": null }, "node_1631": { "node_id": "node_1631", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 285.29 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.287404499935, "fos_buckling": 1.0762806002888847, "fos_yielding": 2.3949622475182637, "deflection": 0.0055796311863452585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1630", "improvement_over_parent": null }, "node_1632": { "node_id": "node_1632", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31917118516475, "fos_buckling": 1.5139854491820688, "fos_yielding": 2.1860610143392614, "deflection": 0.0051562958918591195, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1631", "improvement_over_parent": null }, "node_1633": { "node_id": "node_1633", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1632", "improvement_over_parent": null }, "node_1634": { "node_id": "node_1634", "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 169.02 kg\n Factor of Safety: 0.60\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.02326789693043, "fos_buckling": 0.6011734544342096, "fos_yielding": 1.3236116094126424, "deflection": 0.010615365956697117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1635": { "node_id": "node_1635", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 221.49 kg\n Factor of Safety: 0.77\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.48569368253592, "fos_buckling": 0.7655235520450676, "fos_yielding": 1.7321060554896675, "deflection": 0.008127971713977257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_1634", "improvement_over_parent": null }, "node_1636": { "node_id": "node_1636", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n\nPerformance:\n Mass: 235.19 kg\n Factor of Safety: 0.74\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.18751720969516, "fos_buckling": 0.7374917723466982, "fos_yielding": 1.730098700234214, "deflection": 0.0081183968228603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003467)" }, "parent_node_id": "node_1635", "improvement_over_parent": null }, "node_1637": { "node_id": "node_1637", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.95 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.95297395884995, "fos_buckling": 0.889737018800226, "fos_yielding": 2.159028080272618, "deflection": 0.006518449565573811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1636", "improvement_over_parent": null }, "node_1638": { "node_id": "node_1638", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 299.22 kg\n Factor of Safety: 1.02\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.2189924151173, "fos_buckling": 1.018562835545254, "fos_yielding": 2.156979647159064, "deflection": 0.006379044535304142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.256)" }, "parent_node_id": "node_1637", "improvement_over_parent": null }, "node_1639": { "node_id": "node_1639", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 304.79 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 304.79319208009355, "fos_buckling": 1.5181691200935232, "fos_yielding": 2.182856747595433, "deflection": 0.00513724205088988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1638", "improvement_over_parent": null }, "node_1640": { "node_id": "node_1640", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1639", "improvement_over_parent": null }, "node_1641": { "node_id": "node_1641", "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1642": { "node_id": "node_1642", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 236.38 kg\n Factor of Safety: 0.87\n Max Deflection: 2.41e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.38241377528877, "fos_buckling": 0.8735978152376379, "fos_yielding": 2.018763190089352, "deflection": 2406346461632.185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1641", "improvement_over_parent": null }, "node_1643": { "node_id": "node_1643", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 256.70 kg\n Factor of Safety: 0.74\n Max Deflection: 7.14e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.69574865731556, "fos_buckling": 0.7368165769295033, "fos_yielding": 1.6783364584400722, "deflection": 7144670952374.506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1642", "improvement_over_parent": null }, "node_1644": { "node_id": "node_1644", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 259.36 kg\n Factor of Safety: 0.65\n Max Deflection: 6.85e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.3635369756883, "fos_buckling": 0.6549480683817808, "fos_yielding": 2.106100368559601, "deflection": 6849969933267.729, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.427)" }, "parent_node_id": "node_1643", "improvement_over_parent": null }, "node_1645": { "node_id": "node_1645", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 1.22\n Max Deflection: 3.35e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.9377366406645, "fos_buckling": 1.2236469155476126, "fos_yielding": 2.2532592793510666, "deflection": 3354012150979.2393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1644", "improvement_over_parent": null }, "node_1646": { "node_id": "node_1646", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6261078991531, "fos_buckling": 0.5318723085379063, "fos_yielding": 1.8473583316008504, "deflection": 0.006703939984530534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1645", "improvement_over_parent": null }, "node_1647": { "node_id": "node_1647", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4167354415671, "fos_buckling": 1.5141302693524339, "fos_yielding": 2.1869424861553597, "deflection": 0.005154667790253298, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1646", "improvement_over_parent": null }, "node_1648": { "node_id": "node_1648", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1647", "improvement_over_parent": null }, "node_1649": { "node_id": "node_1649", "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 119.42 kg\n Factor of Safety: 0.38\n Max Deflection: 2.52e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.42163844142557, "fos_buckling": 0.37793937873228084, "fos_yielding": 1.0357591398954253, "deflection": 0.02522550605507351, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1650": { "node_id": "node_1650", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n\nPerformance:\n Mass: 130.23 kg\n Factor of Safety: 0.47\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.23069350993663, "fos_buckling": 0.46619834604957705, "fos_yielding": 1.035294696837684, "deflection": 0.01505129222519444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002122)" }, "parent_node_id": "node_1649", "improvement_over_parent": null }, "node_1651": { "node_id": "node_1651", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n\nPerformance:\n Mass: 132.82 kg\n Factor of Safety: 0.56\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.82440292299, "fos_buckling": 0.5609549639019743, "fos_yielding": 1.1160228843926634, "deflection": 0.011829928110606304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001473)" }, "parent_node_id": "node_1650", "improvement_over_parent": null }, "node_1652": { "node_id": "node_1652", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 0.69\n Max Deflection: 9.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.44116832697722, "fos_buckling": 0.6861269658824951, "fos_yielding": 1.3982306907368809, "deflection": 0.009467770132259702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1651", "improvement_over_parent": null }, "node_1653": { "node_id": "node_1653", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 213.19 kg\n Factor of Safety: 0.85\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.1910753836351, "fos_buckling": 0.8492466361764528, "fos_yielding": 1.7905226525427487, "deflection": 0.0074211246720482784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_1652", "improvement_over_parent": null }, "node_1654": { "node_id": "node_1654", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 246.30 kg\n Factor of Safety: 0.96\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.30113166005958, "fos_buckling": 0.9571841773816485, "fos_yielding": 2.0682414771677795, "deflection": 0.006441598312795158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1653", "improvement_over_parent": null }, "node_1655": { "node_id": "node_1655", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 261.87 kg\n Factor of Safety: 1.34\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.8737308379458, "fos_buckling": 1.3425281683959966, "fos_yielding": 1.889221036148693, "deflection": 0.005953745833756371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003597)" }, "parent_node_id": "node_1654", "improvement_over_parent": null }, "node_1656": { "node_id": "node_1656", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35345164870375, "fos_buckling": 1.5137721174977854, "fos_yielding": 2.186399079334673, "deflection": 0.005155888071511913, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_1655", "improvement_over_parent": null }, "node_1657": { "node_id": "node_1657", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1656", "improvement_over_parent": null }, "node_1658": { "node_id": "node_1658", "content": "INITIAL DESIGN (Trace 233)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 273.25 kg\n Factor of Safety: 0.95\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.25400457789704, "fos_buckling": 0.9470387527093559, "fos_yielding": 2.38335085663461, "deflection": 0.0064211594348508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1659": { "node_id": "node_1659", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 296.48 kg\n Factor of Safety: 1.19\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.477524959045, "fos_buckling": 1.1948801080771607, "fos_yielding": 2.1149572155015117, "deflection": 0.005259210297169255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1658", "improvement_over_parent": null }, "node_1660": { "node_id": "node_1660", "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n\nPerformance:\n Mass: 300.80 kg\n Factor of Safety: 1.17\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.79783397297615, "fos_buckling": 1.1696403103348367, "fos_yielding": 2.1096657741608, "deflection": 0.005237432155797693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.209)" }, "parent_node_id": "node_1659", "improvement_over_parent": null }, "node_1661": { "node_id": "node_1661", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.42\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.60208995211667, "fos_buckling": 1.4171576464362967, "fos_yielding": 2.170639652019985, "deflection": 0.005164725058275016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1660", "improvement_over_parent": null }, "node_1662": { "node_id": "node_1662", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1661", "improvement_over_parent": null }, "node_1663": { "node_id": "node_1663", "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 250.94 kg\n Factor of Safety: 0.97\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.93698281474758, "fos_buckling": 0.9653206055127371, "fos_yielding": 2.0899547537892142, "deflection": 0.006495653625148876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1664": { "node_id": "node_1664", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 253.63 kg\n Factor of Safety: 0.96\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.62954467529462, "fos_buckling": 0.964940487336405, "fos_yielding": 2.0899547537892142, "deflection": 0.006376466700800531, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.222)" }, "parent_node_id": "node_1663", "improvement_over_parent": null }, "node_1665": { "node_id": "node_1665", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.57 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.56912481643485, "fos_buckling": 1.0753208617440786, "fos_yielding": 2.393780847945584, "deflection": 0.005583258633729527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1664", "improvement_over_parent": null }, "node_1666": { "node_id": "node_1666", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.25749607492344, "fos_buckling": 1.5134142756505324, "fos_yielding": 2.185745712245773, "deflection": 0.005157413027288444, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1665", "improvement_over_parent": null }, "node_1667": { "node_id": "node_1667", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1666", "improvement_over_parent": null }, "node_1668": { "node_id": "node_1668", "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 174.41 kg\n Factor of Safety: 0.65\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.41190544768605, "fos_buckling": 0.6450863437029837, "fos_yielding": 1.4780749473522525, "deflection": 0.010448982128531237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1669": { "node_id": "node_1669", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 0.74\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.16171585378152, "fos_buckling": 0.7401163965476536, "fos_yielding": 1.7264141177033676, "deflection": 0.008943275034750245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_1668", "improvement_over_parent": null }, "node_1670": { "node_id": "node_1670", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 259.40 kg\n Factor of Safety: 0.91\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.40011846422533, "fos_buckling": 0.9050040634658, "fos_yielding": 2.1846558892338397, "deflection": 0.007063510887892146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1669", "improvement_over_parent": null }, "node_1671": { "node_id": "node_1671", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.43 kg\n Factor of Safety: 0.91\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.43188514945507, "fos_buckling": 0.9062377719740069, "fos_yielding": 2.160491206191164, "deflection": 0.006520922934136304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1670", "improvement_over_parent": null }, "node_1672": { "node_id": "node_1672", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.01 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.0060848144313, "fos_buckling": 0.9054746173354005, "fos_yielding": 2.1602735140647016, "deflection": 0.005601144199452475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1671", "improvement_over_parent": null }, "node_1673": { "node_id": "node_1673", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3194196964581, "fos_buckling": 1.5136503738203646, "fos_yielding": 2.1861261338923543, "deflection": 0.005156430204618477, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_1672", "improvement_over_parent": null }, "node_1674": { "node_id": "node_1674", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1673", "improvement_over_parent": null }, "node_1675": { "node_id": "node_1675", "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 281.04 kg\n Factor of Safety: 0.99\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.04290111844, "fos_buckling": 0.9862632635648751, "fos_yielding": 2.1240266026831653, "deflection": 0.005536738715209472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1676": { "node_id": "node_1676", "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 282.39 kg\n Factor of Safety: 1.01\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.391103483146, "fos_buckling": 1.0067726129440124, "fos_yielding": 2.1289245590176438, "deflection": 0.005465984419200768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.350)" }, "parent_node_id": "node_1675", "improvement_over_parent": null }, "node_1677": { "node_id": "node_1677", "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 288.03 kg\n Factor of Safety: 0.94\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.0256614886318, "fos_buckling": 0.9390596788298078, "fos_yielding": 2.111358347293324, "deflection": 0.005378090052638651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.499)" }, "parent_node_id": "node_1676", "improvement_over_parent": null }, "node_1678": { "node_id": "node_1678", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 290.83 kg\n Factor of Safety: 1.14\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.8299174677723, "fos_buckling": 1.1380425535242866, "fos_yielding": 2.1589952891295843, "deflection": 0.0053256458430878785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1677", "improvement_over_parent": null }, "node_1679": { "node_id": "node_1679", "content": "MODIFICATION: Increase 15 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n\nPerformance:\n Mass: 292.38 kg\n Factor of Safety: 1.13\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.3792688962475, "fos_buckling": 1.1258508559513216, "fos_yielding": 2.162693564065742, "deflection": 0.005322324039357444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.650)" }, "parent_node_id": "node_1678", "improvement_over_parent": null }, "node_1680": { "node_id": "node_1680", "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0039)]\n\nPerformance:\n Mass: 295.35 kg\n Factor of Safety: 1.17\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.34721349908017, "fos_buckling": 1.1676435637722207, "fos_yielding": 2.1489085744697407, "deflection": 0.005284577447450705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.335)" }, "parent_node_id": "node_1679", "improvement_over_parent": null }, "node_1681": { "node_id": "node_1681", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1680", "improvement_over_parent": null }, "node_1682": { "node_id": "node_1682", "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 183.17 kg\n Factor of Safety: 0.60\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.1711775229642, "fos_buckling": 0.5960897970289231, "fos_yielding": 1.548476722806529, "deflection": 0.009637181400427842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1683": { "node_id": "node_1683", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 217.29 kg\n Factor of Safety: 0.70\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.28838684895032, "fos_buckling": 0.6966046116356863, "fos_yielding": 1.8341047254110603, "deflection": 0.008137858568214579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_1682", "improvement_over_parent": null }, "node_1684": { "node_id": "node_1684", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 260.45 kg\n Factor of Safety: 0.82\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.4516532362801, "fos_buckling": 0.8190518206500125, "fos_yielding": 2.1941135739036803, "deflection": 0.006803431360412632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1683", "improvement_over_parent": null }, "node_1685": { "node_id": "node_1685", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 284.79 kg\n Factor of Safety: 1.22\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.792781241657, "fos_buckling": 1.2213220651369214, "fos_yielding": 2.1912016887791546, "deflection": 0.00557675302912324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1684", "improvement_over_parent": null }, "node_1686": { "node_id": "node_1686", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 295.26 kg\n Factor of Safety: 1.25\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.2577189250356, "fos_buckling": 1.2512242362268338, "fos_yielding": 2.1914153361861164, "deflection": 0.005259519404684683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.443)" }, "parent_node_id": "node_1685", "improvement_over_parent": null }, "node_1687": { "node_id": "node_1687", "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0067)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 304.31 kg\n Factor of Safety: 1.24\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.31384315546063, "fos_buckling": 1.2426130193436762, "fos_yielding": 2.1707122241299412, "deflection": 0.0052186857396898795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.587)" }, "parent_node_id": "node_1686", "improvement_over_parent": null }, "node_1688": { "node_id": "node_1688", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1687", "improvement_over_parent": null }, "node_1689": { "node_id": "node_1689", "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 139.82 kg\n Factor of Safety: 0.30\n Max Deflection: 1.75e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.81992247066572, "fos_buckling": 0.2961962628537354, "fos_yielding": 0.9277844396053494, "deflection": 0.017486731327592046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1690": { "node_id": "node_1690", "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 141.96 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.9593796579113, "fos_buckling": 0.29617252196300226, "fos_yielding": 0.9277509432380376, "deflection": 0.01744575486242392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.186)" }, "parent_node_id": "node_1689", "improvement_over_parent": null }, "node_1691": { "node_id": "node_1691", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 164.42 kg\n Factor of Safety: 0.34\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.41509147093979, "fos_buckling": 0.33743153264178943, "fos_yielding": 1.0733107126763537, "deflection": 0.015088565100516762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1690", "improvement_over_parent": null }, "node_1692": { "node_id": "node_1692", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 166.20 kg\n Factor of Safety: 0.34\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.20381194774984, "fos_buckling": 0.33738639023247985, "fos_yielding": 1.0732459845936169, "deflection": 0.01492554076627428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001454)" }, "parent_node_id": "node_1691", "improvement_over_parent": null }, "node_1693": { "node_id": "node_1693", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 205.76 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.75599696164747, "fos_buckling": 0.40566567499128553, "fos_yielding": 1.3260502127383544, "deflection": 0.01209208661277609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1692", "improvement_over_parent": null }, "node_1694": { "node_id": "node_1694", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 234.45 kg\n Factor of Safety: 1.18\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.44900874507155, "fos_buckling": 1.1818584561044605, "fos_yielding": 1.7039860620314091, "deflection": 0.006624974414460303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004633)" }, "parent_node_id": "node_1693", "improvement_over_parent": null }, "node_1695": { "node_id": "node_1695", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 239.43 kg\n Factor of Safety: 1.24\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.43092978494437, "fos_buckling": 1.2448252210068322, "fos_yielding": 1.7284307125095693, "deflection": 0.006500637109640757, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.572)" }, "parent_node_id": "node_1694", "improvement_over_parent": null }, "node_1696": { "node_id": "node_1696", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5504892782978, "fos_buckling": 1.5141119732460464, "fos_yielding": 2.1880984787529365, "deflection": 0.00515258632645797, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_1695", "improvement_over_parent": null }, "node_1697": { "node_id": "node_1697", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1696", "improvement_over_parent": null }, "node_1698": { "node_id": "node_1698", "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 128.66 kg\n Factor of Safety: 0.67\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.657381510871, "fos_buckling": 0.6700330203926598, "fos_yielding": 0.9724709678661815, "deflection": 0.012246216673029081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1699": { "node_id": "node_1699", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 142.88 kg\n Factor of Safety: 0.74\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.87558968861487, "fos_buckling": 0.7386196476938147, "fos_yielding": 1.0794576562166251, "deflection": 0.01103850910217605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_1698", "improvement_over_parent": null }, "node_1700": { "node_id": "node_1700", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 187.83 kg\n Factor of Safety: 0.95\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.83463619729537, "fos_buckling": 0.9485111799260278, "fos_yielding": 1.4171020764012319, "deflection": 0.008422674307789412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1699", "improvement_over_parent": null }, "node_1701": { "node_id": "node_1701", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 191.97 kg\n Factor of Safety: 0.93\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.9654679073314, "fos_buckling": 0.9278083697795674, "fos_yielding": 1.414687724209403, "deflection": 0.008037476428737068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.328)" }, "parent_node_id": "node_1700", "improvement_over_parent": null }, "node_1702": { "node_id": "node_1702", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.60 kg\n Factor of Safety: 1.13\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.6016041676518, "fos_buckling": 1.1343600533469607, "fos_yielding": 1.7708433220576092, "deflection": 0.0064371810974521056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1701", "improvement_over_parent": null }, "node_1703": { "node_id": "node_1703", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 300.04 kg\n Factor of Safety: 1.37\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.0405515677426, "fos_buckling": 1.3716860630923715, "fos_yielding": 2.2048152634260467, "deflection": 0.005185912770922111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_1702", "improvement_over_parent": null }, "node_1704": { "node_id": "node_1704", "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.63621261790865, "fos_buckling": 1.5149705795483988, "fos_yielding": 2.1885400988075046, "deflection": 0.005151334320630031, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.433)" }, "parent_node_id": "node_1703", "improvement_over_parent": null }, "node_1705": { "node_id": "node_1705", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1704", "improvement_over_parent": null }, "node_1706": { "node_id": "node_1706", "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 157.33 kg\n Factor of Safety: 0.86\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.3326884466883, "fos_buckling": 0.8612500748407838, "fos_yielding": 1.137799254753815, "deflection": 0.009830582984679486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1707": { "node_id": "node_1707", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 203.94 kg\n Factor of Safety: 1.08\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.93742050190238, "fos_buckling": 1.084679283369874, "fos_yielding": 1.4732662098349958, "deflection": 0.007611199469430393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1706", "improvement_over_parent": null }, "node_1708": { "node_id": "node_1708", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.41 kg\n Factor of Safety: 1.25\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.41393258065114, "fos_buckling": 1.249603298233862, "fos_yielding": 1.7353312641868726, "deflection": 0.006474423260741655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_1707", "improvement_over_parent": null }, "node_1709": { "node_id": "node_1709", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.70 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.69665012773805, "fos_buckling": 1.5151949829360312, "fos_yielding": 2.188951949137867, "deflection": 0.005150070403373971, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1708", "improvement_over_parent": null }, "node_1710": { "node_id": "node_1710", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1709", "improvement_over_parent": null }, "node_1711": { "node_id": "node_1711", "content": "INITIAL DESIGN (Trace 241)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 136.61 kg\n Factor of Safety: 0.24\n Max Deflection: 2.15e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.61292761355486, "fos_buckling": 0.24177773007993367, "fos_yielding": 0.7092405074678628, "deflection": 0.021473955576877025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1712": { "node_id": "node_1712", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n\nPerformance:\n Mass: 149.46 kg\n Factor of Safety: 0.82\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.4628627053909, "fos_buckling": 0.8221067443427419, "fos_yielding": 1.0810821936529993, "deflection": 0.010341957317473126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002562)" }, "parent_node_id": "node_1711", "improvement_over_parent": null }, "node_1713": { "node_id": "node_1713", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 191.79 kg\n Factor of Safety: 1.03\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.7861273630856, "fos_buckling": 1.0278046145134847, "fos_yielding": 1.3858703132825456, "deflection": 0.008085914493593853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1712", "improvement_over_parent": null }, "node_1714": { "node_id": "node_1714", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 249.34 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.3402693856787, "fos_buckling": 1.2886416121973945, "fos_yielding": 1.799398310432861, "deflection": 0.006246897935830984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1713", "improvement_over_parent": null }, "node_1715": { "node_id": "node_1715", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38181055431113, "fos_buckling": 1.51393955811695, "fos_yielding": 2.186700998582644, "deflection": 0.005155295642057028, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_1714", "improvement_over_parent": null }, "node_1716": { "node_id": "node_1716", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1715", "improvement_over_parent": null }, "node_1717": { "node_id": "node_1717", "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 200.45 kg\n Factor of Safety: 0.04\n Max Deflection: 4.36e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.45031967796228, "fos_buckling": 0.044389507045138527, "fos_yielding": 0.08627731769043327, "deflection": 435636299048500.2, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1718": { "node_id": "node_1718", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 202.77 kg\n Factor of Safety: 0.74\n Max Deflection: 6.08e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.76908651600993, "fos_buckling": 0.7431041742127634, "fos_yielding": 1.7539328563620926, "deflection": 6082380756295.233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001918)" }, "parent_node_id": "node_1717", "improvement_over_parent": null }, "node_1719": { "node_id": "node_1719", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 0.46\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.67944728857802, "fos_buckling": 0.45720142656174734, "fos_yielding": 1.5309923468953288, "deflection": 0.008337369788441653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003432)" }, "parent_node_id": "node_1718", "improvement_over_parent": null }, "node_1720": { "node_id": "node_1720", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 220.84 kg\n Factor of Safety: 0.46\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.84058336983657, "fos_buckling": 0.4568831003225734, "fos_yielding": 1.5307505057599056, "deflection": 0.008229511311488111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_1719", "improvement_over_parent": null }, "node_1721": { "node_id": "node_1721", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 228.79 kg\n Factor of Safety: 0.46\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.78828836397432, "fos_buckling": 0.4566166637060305, "fos_yielding": 1.5305478862002615, "deflection": 0.00815820146027601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.441)" }, "parent_node_id": "node_1720", "improvement_over_parent": null }, "node_1722": { "node_id": "node_1722", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 250.12 kg\n Factor of Safety: 1.08\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.11721058915487, "fos_buckling": 1.079268070942384, "fos_yielding": 1.8101552080035295, "deflection": 0.0064711930471831325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004105)" }, "parent_node_id": "node_1721", "improvement_over_parent": null }, "node_1723": { "node_id": "node_1723", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0071)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.36 kg\n Factor of Safety: 1.28\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.3596523073958, "fos_buckling": 1.27716818212361, "fos_yielding": 2.186665129792775, "deflection": 0.005368875257993073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1722", "improvement_over_parent": null }, "node_1724": { "node_id": "node_1724", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1723", "improvement_over_parent": null }, "node_1725": { "node_id": "node_1725", "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.88208516030318, "fos_buckling": 0.45118769615456644, "fos_yielding": 1.3082441100657272, "deflection": 0.010818709201576607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1726": { "node_id": "node_1726", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 236.40 kg\n Factor of Safety: 0.45\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.3956389181088, "fos_buckling": 0.45110331851338226, "fos_yielding": 1.3686881703613294, "deflection": 0.010638976829277171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002093)" }, "parent_node_id": "node_1725", "improvement_over_parent": null }, "node_1727": { "node_id": "node_1727", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 263.74 kg\n Factor of Safety: 0.49\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.7425075294125, "fos_buckling": 0.49300971410753824, "fos_yielding": 1.531003841549415, "deflection": 0.00955458377907789, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_1726", "improvement_over_parent": null }, "node_1728": { "node_id": "node_1728", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.12 kg\n Factor of Safety: 1.19\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.1249049848916, "fos_buckling": 1.1884244477736667, "fos_yielding": 1.534866172039984, "deflection": 0.005220273737740454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1727", "improvement_over_parent": null }, "node_1729": { "node_id": "node_1729", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0073)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 310.36 kg\n Factor of Safety: 1.19\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 310.3559991075791, "fos_buckling": 1.1882050067645802, "fos_yielding": 1.5345827610227873, "deflection": 0.005142445206708725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.486)" }, "parent_node_id": "node_1728", "improvement_over_parent": null }, "node_1730": { "node_id": "node_1730", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1729", "improvement_over_parent": null }, "node_1731": { "node_id": "node_1731", "content": "INITIAL DESIGN (Trace 244)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0015)]\n\nPerformance:\n Mass: 131.41 kg\n Factor of Safety: 0.61\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.4056911745837, "fos_buckling": 0.6061692880855242, "fos_yielding": 0.9621432402831471, "deflection": 0.011668844076730326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1732": { "node_id": "node_1732", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 152.43 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.4340762377783, "fos_buckling": 0.6967039240583144, "fos_yielding": 1.1154984973244613, "deflection": 0.010075763966542016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1731", "improvement_over_parent": null }, "node_1733": { "node_id": "node_1733", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.88\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.66190632538095, "fos_buckling": 0.8813705471516499, "fos_yielding": 1.4374894035899068, "deflection": 0.007836935631191555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1732", "improvement_over_parent": null }, "node_1734": { "node_id": "node_1734", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 233.91 kg\n Factor of Safety: 1.03\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.91289195394523, "fos_buckling": 1.0308953629508604, "fos_yielding": 1.7081049468029197, "deflection": 0.006608111187122036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_1733", "improvement_over_parent": null }, "node_1735": { "node_id": "node_1735", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 295.62 kg\n Factor of Safety: 1.27\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.6163767351619, "fos_buckling": 1.2665686938734368, "fos_yielding": 2.15518521791159, "deflection": 0.005254008899894771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1734", "improvement_over_parent": null }, "node_1736": { "node_id": "node_1736", "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.232932269184, "fos_buckling": 1.5133291017940387, "fos_yielding": 2.185618959697828, "deflection": 0.005157788190159212, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.460)" }, "parent_node_id": "node_1735", "improvement_over_parent": null }, "node_1737": { "node_id": "node_1737", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1736", "improvement_over_parent": null }, "node_1738": { "node_id": "node_1738", "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 247.04 kg\n Factor of Safety: 0.49\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.03568803209487, "fos_buckling": 0.48773563751759075, "fos_yielding": 1.6353342225504697, "deflection": 0.0075641154561913925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1739": { "node_id": "node_1739", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 1.11\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.93997396575963, "fos_buckling": 1.1128899356768958, "fos_yielding": 1.871795609829763, "deflection": 0.005913793629874934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003903)" }, "parent_node_id": "node_1738", "improvement_over_parent": null }, "node_1740": { "node_id": "node_1740", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 300.63 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.62750826972723, "fos_buckling": 1.2302678763528507, "fos_yielding": 2.1221511003229425, "deflection": 0.005225817817838452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1739", "improvement_over_parent": null }, "node_1741": { "node_id": "node_1741", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.43176424886775, "fos_buckling": 1.514133825845822, "fos_yielding": 2.1870504409031257, "deflection": 0.00515446941728922, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1740", "improvement_over_parent": null }, "node_1742": { "node_id": "node_1742", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1741", "improvement_over_parent": null }, "node_1743": { "node_id": "node_1743", "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1744": { "node_id": "node_1744", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 236.07 kg\n Factor of Safety: 0.92\n Max Deflection: 5.53e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.0703354565809, "fos_buckling": 0.9177803426930432, "fos_yielding": 2.132563085641497, "deflection": 5534244885935.888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1743", "improvement_over_parent": null }, "node_1745": { "node_id": "node_1745", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 254.10 kg\n Factor of Safety: 0.92\n Max Deflection: 4.52e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.1021021418106, "fos_buckling": 0.9177803426930432, "fos_yielding": 2.37771352310307, "deflection": 4524075972113.548, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1744", "improvement_over_parent": null }, "node_1746": { "node_id": "node_1746", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 280.19 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.1898944245868, "fos_buckling": 1.134585988619846, "fos_yielding": 2.2250586948322177, "deflection": 0.006025332252891562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_1745", "improvement_over_parent": null }, "node_1747": { "node_id": "node_1747", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41341480573476, "fos_buckling": 1.5140700894372403, "fos_yielding": 2.186946059409426, "deflection": 0.00515472329304524, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1746", "improvement_over_parent": null }, "node_1748": { "node_id": "node_1748", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1747", "improvement_over_parent": null }, "node_1749": { "node_id": "node_1749", "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 242.40 kg\n Factor of Safety: 1.00\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.40432893048998, "fos_buckling": 1.0025670638131505, "fos_yielding": 1.9656518613779124, "deflection": 0.0071021379756646425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1750": { "node_id": "node_1750", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.38 kg\n Factor of Safety: 1.09\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.38302785677377, "fos_buckling": 1.0920414062898545, "fos_yielding": 2.182519539053726, "deflection": 0.006402173769273434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_1749", "improvement_over_parent": null }, "node_1751": { "node_id": "node_1751", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 293.72 kg\n Factor of Safety: 1.15\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.72415586215067, "fos_buckling": 1.1533991855683248, "fos_yielding": 2.179836856987056, "deflection": 0.005533930648308523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1750", "improvement_over_parent": null }, "node_1752": { "node_id": "node_1752", "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2744698873253, "fos_buckling": 1.513595517149575, "fos_yielding": 2.1859405985681537, "deflection": 0.005157261360797137, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.634)" }, "parent_node_id": "node_1751", "improvement_over_parent": null }, "node_1753": { "node_id": "node_1753", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1752", "improvement_over_parent": null }, "node_1754": { "node_id": "node_1754", "content": "INITIAL DESIGN (Trace 248)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.54 kg\n Factor of Safety: 0.75\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.5411376313202, "fos_buckling": 0.7541353834462169, "fos_yielding": 1.7391651530583827, "deflection": 0.00693971282881217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1755": { "node_id": "node_1755", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 240.58 kg\n Factor of Safety: 1.25\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.5811064962576, "fos_buckling": 1.2541861049669998, "fos_yielding": 1.758718977914045, "deflection": 0.006421850821986291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002780)" }, "parent_node_id": "node_1754", "improvement_over_parent": null }, "node_1756": { "node_id": "node_1756", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.1614742971146, "fos_buckling": 1.50722959429137, "fos_yielding": 2.18356651752408, "deflection": 0.005187775372130366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_1755", "improvement_over_parent": null }, "node_1757": { "node_id": "node_1757", "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 304.72 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 304.7246500728784, "fos_buckling": 1.517594734703713, "fos_yielding": 2.1813657950114385, "deflection": 0.0051394314348787214, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.271)" }, "parent_node_id": "node_1756", "improvement_over_parent": null }, "node_1758": { "node_id": "node_1758", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1757", "improvement_over_parent": null }, "node_1759": { "node_id": "node_1759", "content": "INITIAL DESIGN (Trace 249)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 246.10 kg\n Factor of Safety: 0.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.0978191845059, "fos_buckling": 0.4107000894679453, "fos_yielding": 1.246538543065117, "deflection": 0.011927684254755952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1760": { "node_id": "node_1760", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.70 kg\n Factor of Safety: 0.41\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.70036193722416, "fos_buckling": 0.4107000894679454, "fos_yielding": 1.2634869426844562, "deflection": 0.01187189060559725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.218)" }, "parent_node_id": "node_1759", "improvement_over_parent": null }, "node_1761": { "node_id": "node_1761", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 271.31 kg\n Factor of Safety: 1.40\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.30938418926104, "fos_buckling": 1.3963204598806451, "fos_yielding": 1.9928834583120425, "deflection": 0.005713674781262277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004888)" }, "parent_node_id": "node_1760", "improvement_over_parent": null }, "node_1762": { "node_id": "node_1762", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 299.73 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.73152876578166, "fos_buckling": 1.5137893284260144, "fos_yielding": 2.199965088583711, "deflection": 0.005183428060314067, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_1761", "improvement_over_parent": null }, "node_1763": { "node_id": "node_1763", "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 306.05 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 306.0452502248549, "fos_buckling": 1.513201138567008, "fos_yielding": 2.2159080057669853, "deflection": 0.005129030154223789, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.277)" }, "parent_node_id": "node_1762", "improvement_over_parent": null }, "node_1764": { "node_id": "node_1764", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1763", "improvement_over_parent": null }, "node_1765": { "node_id": "node_1765", "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 155.02 kg\n Factor of Safety: 0.78\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.02367225829408, "fos_buckling": 0.7807912136983297, "fos_yielding": 0.9657400340007773, "deflection": 0.009883337268171057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1766": { "node_id": "node_1766", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 187.06 kg\n Factor of Safety: 0.93\n Max Deflection: 8.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.0623460479312, "fos_buckling": 0.9289286568318668, "fos_yielding": 1.1662399258486795, "deflection": 0.008211534806706337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1765", "improvement_over_parent": null }, "node_1767": { "node_id": "node_1767", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 188.19 kg\n Factor of Safety: 1.03\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.1884882322537, "fos_buckling": 1.0254601525617852, "fos_yielding": 1.3949079368186899, "deflection": 0.008169201015919872, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.214)" }, "parent_node_id": "node_1766", "improvement_over_parent": null }, "node_1768": { "node_id": "node_1768", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 240.26 kg\n Factor of Safety: 1.27\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.25586055988828, "fos_buckling": 1.265177297942083, "fos_yielding": 1.7783060584877075, "deflection": 0.00642524416217285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1767", "improvement_over_parent": null }, "node_1769": { "node_id": "node_1769", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.53939416271425, "fos_buckling": 1.5088306285076754, "fos_yielding": 2.2061081433959653, "deflection": 0.005194705352742695, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1768", "improvement_over_parent": null }, "node_1770": { "node_id": "node_1770", "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.36472871852567, "fos_buckling": 1.5138552481666714, "fos_yielding": 2.1874024615777428, "deflection": 0.005155580566309678, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.401)" }, "parent_node_id": "node_1769", "improvement_over_parent": null }, "node_1771": { "node_id": "node_1771", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1770", "improvement_over_parent": null }, "node_1772": { "node_id": "node_1772", "content": "INITIAL DESIGN (Trace 251)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 187.94 kg\n Factor of Safety: 0.68\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.93529184009196, "fos_buckling": 0.6767321920750614, "fos_yielding": 1.5259024953053346, "deflection": 0.009401203957413357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1773": { "node_id": "node_1773", "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.46 kg\n Factor of Safety: 0.68\n Max Deflection: 9.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.46055658775072, "fos_buckling": 0.6774384677049602, "fos_yielding": 1.5258143125707273, "deflection": 0.009404191473988806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.499)" }, "parent_node_id": "node_1772", "improvement_over_parent": null }, "node_1774": { "node_id": "node_1774", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 216.52 kg\n Factor of Safety: 0.75\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.52171171932392, "fos_buckling": 0.7521395911544542, "fos_yielding": 1.7154662565645307, "deflection": 0.008371473629653558, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1773", "improvement_over_parent": null }, "node_1775": { "node_id": "node_1775", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 276.16 kg\n Factor of Safety: 0.93\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.15937955286284, "fos_buckling": 0.9275235721692242, "fos_yielding": 2.18442296943627, "deflection": 0.0065876057071135264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1774", "improvement_over_parent": null }, "node_1776": { "node_id": "node_1776", "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.58 kg\n Factor of Safety: 0.93\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.5795709280497, "fos_buckling": 0.9278409434896943, "fos_yielding": 2.161053672753671, "deflection": 0.006529763916466697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.587)" }, "parent_node_id": "node_1775", "improvement_over_parent": null }, "node_1777": { "node_id": "node_1777", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 286.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.1537705930259, "fos_buckling": 1.0902596984600113, "fos_yielding": 2.188609901938264, "deflection": 0.006007495278152257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1776", "improvement_over_parent": null }, "node_1778": { "node_id": "node_1778", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.27172582460037, "fos_buckling": 1.51355892869044, "fos_yielding": 2.1858910243415512, "deflection": 0.005157094830392273, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1777", "improvement_over_parent": null }, "node_1779": { "node_id": "node_1779", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1778", "improvement_over_parent": null }, "node_1780": { "node_id": "node_1780", "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 275.66 kg\n Factor of Safety: 1.09\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.65802859981136, "fos_buckling": 1.0909840160185256, "fos_yielding": 1.9511033434077234, "deflection": 0.006094437793702399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1781": { "node_id": "node_1781", "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 279.12 kg\n Factor of Safety: 1.09\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.11775139457546, "fos_buckling": 1.090984016018526, "fos_yielding": 2.1612446651337236, "deflection": 0.006094437793702399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.626)" }, "parent_node_id": "node_1780", "improvement_over_parent": null }, "node_1782": { "node_id": "node_1782", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.28 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.27758708007127, "fos_buckling": 1.090694434758374, "fos_yielding": 2.1896027536216978, "deflection": 0.006004750777370669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.422)" }, "parent_node_id": "node_1781", "improvement_over_parent": null }, "node_1783": { "node_id": "node_1783", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3955423116457, "fos_buckling": 1.5140617814842527, "fos_yielding": 2.1868820927238395, "deflection": 0.005154927593278163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1782", "improvement_over_parent": null }, "node_1784": { "node_id": "node_1784", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1783", "improvement_over_parent": null }, "node_1785": { "node_id": "node_1785", "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 275.65 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.64949629933545, "fos_buckling": 1.0781133413616504, "fos_yielding": 2.3950779160317697, "deflection": 0.00595910056000615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1786": { "node_id": "node_1786", "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.35 kg\n Factor of Safety: 1.08\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.35002406721014, "fos_buckling": 1.0775083474298652, "fos_yielding": 2.3950779160317692, "deflection": 0.00585947434892231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.508)" }, "parent_node_id": "node_1785", "improvement_over_parent": null }, "node_1787": { "node_id": "node_1787", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.04 kg\n Factor of Safety: 1.26\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.03839532569873, "fos_buckling": 1.2596009618692392, "fos_yielding": 2.182730937607587, "deflection": 0.0054161523875243004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1786", "improvement_over_parent": null }, "node_1788": { "node_id": "node_1788", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3963198220374, "fos_buckling": 1.5139428780670126, "fos_yielding": 2.1869452100349114, "deflection": 0.005154908839631139, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.431)" }, "parent_node_id": "node_1787", "improvement_over_parent": null }, "node_1789": { "node_id": "node_1789", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1788", "improvement_over_parent": null }, "node_1790": { "node_id": "node_1790", "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 229.98 kg\n Factor of Safety: 1.12\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.9791486060583, "fos_buckling": 1.120679230800033, "fos_yielding": 1.7044388383287132, "deflection": 0.006712952882028481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1791": { "node_id": "node_1791", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 233.71 kg\n Factor of Safety: 1.21\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.70903281504303, "fos_buckling": 1.209483899450594, "fos_yielding": 1.702474455445883, "deflection": 0.006643760623308625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.279)" }, "parent_node_id": "node_1790", "improvement_over_parent": null }, "node_1792": { "node_id": "node_1792", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.49\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.62297106331795, "fos_buckling": 1.4896958317284295, "fos_yielding": 2.1861538283907693, "deflection": 0.0051915320070335625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1791", "improvement_over_parent": null }, "node_1793": { "node_id": "node_1793", "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.29305165739044, "fos_buckling": 1.5135879477631569, "fos_yielding": 2.186005313112387, "deflection": 0.005156813334160765, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.203)" }, "parent_node_id": "node_1792", "improvement_over_parent": null }, "node_1794": { "node_id": "node_1794", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1793", "improvement_over_parent": null }, "node_1795": { "node_id": "node_1795", "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 278.94 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.9403491414169, "fos_buckling": 1.091214908041895, "fos_yielding": 2.1969520820479445, "deflection": 0.006017201863981641, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1796": { "node_id": "node_1796", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.77 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.7697768238069, "fos_buckling": 1.0911408704519159, "fos_yielding": 2.1897455684508804, "deflection": 0.006002254282724536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_1795", "improvement_over_parent": null }, "node_1797": { "node_id": "node_1797", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.89 kg\n Factor of Safety: 1.47\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8877320553814, "fos_buckling": 1.46927230108039, "fos_yielding": 2.1872162975045066, "deflection": 0.00522070021420284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1796", "improvement_over_parent": null }, "node_1798": { "node_id": "node_1798", "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.6600159975594, "fos_buckling": 1.4663713984937508, "fos_yielding": 2.1888875603243365, "deflection": 0.0051912069929546155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.323)" }, "parent_node_id": "node_1797", "improvement_over_parent": null }, "node_1799": { "node_id": "node_1799", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1798", "improvement_over_parent": null }, "node_1800": { "node_id": "node_1800", "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 167.58 kg\n Factor of Safety: 0.30\n Max Deflection: 1.74e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.57808188020567, "fos_buckling": 0.2991215881470124, "fos_yielding": 0.8961793253158701, "deflection": 0.01735970489183593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1801": { "node_id": "node_1801", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.99\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.86478152346984, "fos_buckling": 0.9850228495939936, "fos_yielding": 1.3687087201875459, "deflection": 0.008720922990421516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003285)" }, "parent_node_id": "node_1800", "improvement_over_parent": null }, "node_1802": { "node_id": "node_1802", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 238.35 kg\n Factor of Safety: 1.23\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.34552237329876, "fos_buckling": 1.2338273522956944, "fos_yielding": 1.7713893794513855, "deflection": 0.006750892317443272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1801", "improvement_over_parent": null }, "node_1803": { "node_id": "node_1803", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n\nPerformance:\n Mass: 245.47 kg\n Factor of Safety: 1.27\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.47371647170525, "fos_buckling": 1.2718409179584738, "fos_yielding": 1.771672382210489, "deflection": 0.006343468800365025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.565)" }, "parent_node_id": "node_1802", "improvement_over_parent": null }, "node_1804": { "node_id": "node_1804", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.82 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.81661594158237, "fos_buckling": 1.5157272620801814, "fos_yielding": 2.189839044102814, "deflection": 0.005148123119974829, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1803", "improvement_over_parent": null }, "node_1805": { "node_id": "node_1805", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1804", "improvement_over_parent": null }, "node_1806": { "node_id": "node_1806", "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 237.90 kg\n Factor of Safety: 0.84\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.8954357568559, "fos_buckling": 0.8361620106457741, "fos_yielding": 1.964890502724617, "deflection": 0.008734492735912674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1807": { "node_id": "node_1807", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 242.65 kg\n Factor of Safety: 0.95\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.64926981861606, "fos_buckling": 0.9484028960455392, "fos_yielding": 2.0431965307664237, "deflection": 0.0067793508222791805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002796)" }, "parent_node_id": "node_1806", "improvement_over_parent": null }, "node_1808": { "node_id": "node_1808", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 253.47 kg\n Factor of Safety: 1.33\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.47290972789102, "fos_buckling": 1.3258542028329532, "fos_yielding": 1.8704068821699003, "deflection": 0.006301381260056259, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003197)" }, "parent_node_id": "node_1807", "improvement_over_parent": null }, "node_1809": { "node_id": "node_1809", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.39e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 297.16573095685857, "fos_buckling": 1.509835552902098, "fos_yielding": 2.190027960320899, "deflection": 0.005390414401773552, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1808", "improvement_over_parent": null }, "node_1810": { "node_id": "node_1810", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.29843219072603, "fos_buckling": 1.513586791372467, "fos_yielding": 2.1860629907520637, "deflection": 0.005156644205734181, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.319)" }, "parent_node_id": "node_1809", "improvement_over_parent": null }, "node_1811": { "node_id": "node_1811", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1810", "improvement_over_parent": null }, "node_1812": { "node_id": "node_1812", "content": "INITIAL DESIGN (Trace 258)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 149.57 kg\n Factor of Safety: 0.31\n Max Deflection: 1.62e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.56752607708844, "fos_buckling": 0.3122889258624046, "fos_yielding": 0.9838372818339314, "deflection": 0.01622960481307077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1813": { "node_id": "node_1813", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 179.31 kg\n Factor of Safety: 0.37\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.31014874203606, "fos_buckling": 0.3661858181726134, "fos_yielding": 1.1775701120340643, "deflection": 0.01356965139756997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1812", "improvement_over_parent": null }, "node_1814": { "node_id": "node_1814", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 199.59 kg\n Factor of Safety: 0.40\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.59284252237862, "fos_buckling": 0.40140559165765904, "fos_yielding": 1.3093132375747976, "deflection": 0.012210449114384547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1813", "improvement_over_parent": null }, "node_1815": { "node_id": "node_1815", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 256.50 kg\n Factor of Safety: 0.49\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.5040519932626, "fos_buckling": 0.49364457003995454, "fos_yielding": 1.6773407924468888, "deflection": 0.009544741275749485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_1814", "improvement_over_parent": null }, "node_1816": { "node_id": "node_1816", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.89 kg\n Factor of Safety: 1.46\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.8864494487417, "fos_buckling": 1.455340508238873, "fos_yielding": 2.19972590243885, "deflection": 0.005239164918184059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1815", "improvement_over_parent": null }, "node_1817": { "node_id": "node_1817", "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.02 kg\n Factor of Safety: 1.46\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.0195745191316, "fos_buckling": 1.4640720013184512, "fos_yielding": 2.2170600321716027, "deflection": 0.005179588952597062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.314)" }, "parent_node_id": "node_1816", "improvement_over_parent": null }, "node_1818": { "node_id": "node_1818", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0066)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 310.60 kg\n Factor of Safety: 1.52\n Max Deflection: 5.10e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 310.6011314266752, "fos_buckling": 1.5210426509267085, "fos_yielding": 2.213518397314912, "deflection": 0.005095217615884009, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.529)" }, "parent_node_id": "node_1817", "improvement_over_parent": null }, "node_1819": { "node_id": "node_1819", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1818", "improvement_over_parent": null }, "node_1820": { "node_id": "node_1820", "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.83 kg\n Factor of Safety: 0.45\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.82636425010375, "fos_buckling": 0.45496631129796916, "fos_yielding": 1.522988817061959, "deflection": 0.009192817744835957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1821": { "node_id": "node_1821", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 228.41 kg\n Factor of Safety: 0.45\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.41303680171174, "fos_buckling": 0.45466004602720583, "fos_yielding": 1.5227561294050318, "deflection": 0.00810372180688309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002690)" }, "parent_node_id": "node_1820", "improvement_over_parent": null }, "node_1822": { "node_id": "node_1822", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.50 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.5040868264384, "fos_buckling": 0.5317616337707808, "fos_yielding": 1.8465606738558, "deflection": 0.006706674280469471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_1821", "improvement_over_parent": null }, "node_1823": { "node_id": "node_1823", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2947143688524, "fos_buckling": 1.5135510929924723, "fos_yielding": 2.1860258419042835, "deflection": 0.0051568040510212776, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1822", "improvement_over_parent": null }, "node_1824": { "node_id": "node_1824", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1823", "improvement_over_parent": null }, "node_1825": { "node_id": "node_1825", "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 187.45 kg\n Factor of Safety: 1.05\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.45032554471183, "fos_buckling": 1.0478977418949802, "fos_yielding": 1.4187075208823463, "deflection": 0.008188525853044047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1826": { "node_id": "node_1826", "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 189.16 kg\n Factor of Safety: 1.05\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.157983288306, "fos_buckling": 1.048026630820761, "fos_yielding": 1.409172297350117, "deflection": 0.008128680744555349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.255)" }, "parent_node_id": "node_1825", "improvement_over_parent": null }, "node_1827": { "node_id": "node_1827", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 192.13 kg\n Factor of Safety: 1.01\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.12977499014042, "fos_buckling": 1.0083694357286401, "fos_yielding": 1.3975560582354871, "deflection": 0.008055668834662858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.362)" }, "parent_node_id": "node_1826", "improvement_over_parent": null }, "node_1828": { "node_id": "node_1828", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 249.04 kg\n Factor of Safety: 1.26\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.0441396330031, "fos_buckling": 1.2555711428492478, "fos_yielding": 1.8090183781892204, "deflection": 0.006241876654387902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1827", "improvement_over_parent": null }, "node_1829": { "node_id": "node_1829", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.64 kg\n Factor of Safety: 1.45\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.63990902843346, "fos_buckling": 1.4489286859114274, "fos_yielding": 2.159428937151852, "deflection": 0.005242165022411833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_1828", "improvement_over_parent": null }, "node_1830": { "node_id": "node_1830", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4887964333119, "fos_buckling": 1.5143620406891352, "fos_yielding": 2.187434234428539, "deflection": 0.00515353900708838, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.522)" }, "parent_node_id": "node_1829", "improvement_over_parent": null }, "node_1831": { "node_id": "node_1831", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1830", "improvement_over_parent": null }, "node_1832": { "node_id": "node_1832", "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 171.08 kg\n Factor of Safety: 0.76\n Max Deflection: 9.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.07520492644215, "fos_buckling": 0.7604058808196142, "fos_yielding": 1.5709899523815514, "deflection": 0.009707494168384803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1833": { "node_id": "node_1833", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 209.92 kg\n Factor of Safety: 0.90\n Max Deflection: 7.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.91972110900508, "fos_buckling": 0.9044675594085034, "fos_yielding": 1.9272684518316734, "deflection": 0.00793854422398775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_1832", "improvement_over_parent": null }, "node_1834": { "node_id": "node_1834", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 224.41 kg\n Factor of Safety: 0.91\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.41009705553031, "fos_buckling": 0.9122105388374546, "fos_yielding": 1.7632748617149814, "deflection": 0.007430909073052995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003328)" }, "parent_node_id": "node_1833", "improvement_over_parent": null }, "node_1835": { "node_id": "node_1835", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 243.97 kg\n Factor of Safety: 1.27\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.97299959670931, "fos_buckling": 1.2652386562314875, "fos_yielding": 1.761072635287094, "deflection": 0.006381420629132779, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003867)" }, "parent_node_id": "node_1834", "improvement_over_parent": null }, "node_1836": { "node_id": "node_1836", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.74089436537344, "fos_buckling": 1.515375910922836, "fos_yielding": 2.189505796289352, "deflection": 0.005149112228193134, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_1835", "improvement_over_parent": null }, "node_1837": { "node_id": "node_1837", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1836", "improvement_over_parent": null }, "node_1838": { "node_id": "node_1838", "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 231.55 kg\n Factor of Safety: 0.49\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.54752965230358, "fos_buckling": 0.4894749481341254, "fos_yielding": 1.6623681443290197, "deflection": 0.010564108582227255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1839": { "node_id": "node_1839", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 0.53\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.6754710863797, "fos_buckling": 0.5330031305312369, "fos_yielding": 1.8480486431822223, "deflection": 0.009522733648220184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1838", "improvement_over_parent": null }, "node_1840": { "node_id": "node_1840", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 260.48 kg\n Factor of Safety: 0.53\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.4797270655202, "fos_buckling": 0.5325667679557807, "fos_yielding": 1.8477039388882421, "deflection": 0.007285144841254334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_1839", "improvement_over_parent": null }, "node_1841": { "node_id": "node_1841", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.27035460793417, "fos_buckling": 1.0906078563599169, "fos_yielding": 2.189454126642217, "deflection": 0.00600512759075901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1840", "improvement_over_parent": null }, "node_1842": { "node_id": "node_1842", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3883098395086, "fos_buckling": 1.513954735242259, "fos_yielding": 2.1867333603806065, "deflection": 0.005155203656978264, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1841", "improvement_over_parent": null }, "node_1843": { "node_id": "node_1843", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1842", "improvement_over_parent": null }, "node_1844": { "node_id": "node_1844", "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 249.89 kg\n Factor of Safety: 0.83\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.89178673229426, "fos_buckling": 0.828236514558002, "fos_yielding": 1.3531319892143299, "deflection": 0.006333445293520011, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1845": { "node_id": "node_1845", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 251.09 kg\n Factor of Safety: 0.83\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.09009199804453, "fos_buckling": 0.8280865375000596, "fos_yielding": 1.3531026575794787, "deflection": 0.006309724519308576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.342)" }, "parent_node_id": "node_1844", "improvement_over_parent": null }, "node_1846": { "node_id": "node_1846", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 269.32 kg\n Factor of Safety: 1.07\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.31940502075736, "fos_buckling": 1.0740970690017642, "fos_yielding": 1.3696215823400901, "deflection": 0.005804476005054489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003980)" }, "parent_node_id": "node_1845", "improvement_over_parent": null }, "node_1847": { "node_id": "node_1847", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 272.29 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.2925918540283, "fos_buckling": 1.386591420839974, "fos_yielding": 1.9652828639806195, "deflection": 0.0057303980532554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.493)" }, "parent_node_id": "node_1846", "improvement_over_parent": null }, "node_1848": { "node_id": "node_1848", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.51270296201983, "fos_buckling": 1.5144117767693928, "fos_yielding": 2.1890402501966983, "deflection": 0.005153172709416512, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1847", "improvement_over_parent": null }, "node_1849": { "node_id": "node_1849", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1848", "improvement_over_parent": null }, "node_1850": { "node_id": "node_1850", "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1851": { "node_id": "node_1851", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 209.36 kg\n Factor of Safety: 0.76\n Max Deflection: 8.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.36271797798025, "fos_buckling": 0.7595732928670034, "fos_yielding": 1.751007701489561, "deflection": 0.008061174542980795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002642)" }, "parent_node_id": "node_1850", "improvement_over_parent": null }, "node_1852": { "node_id": "node_1852", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 225.80 kg\n Factor of Safety: 0.92\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.79731859279406, "fos_buckling": 0.916929055142067, "fos_yielding": 1.774010952155012, "deflection": 0.007386293965020726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003558)" }, "parent_node_id": "node_1851", "improvement_over_parent": null }, "node_1853": { "node_id": "node_1853", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 245.49 kg\n Factor of Safety: 1.27\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.49183717521564, "fos_buckling": 1.2718837065645558, "fos_yielding": 1.77179280187636, "deflection": 0.00634291120762892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003895)" }, "parent_node_id": "node_1852", "improvement_over_parent": null }, "node_1854": { "node_id": "node_1854", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4004490398407, "fos_buckling": 1.5140234201224825, "fos_yielding": 2.1868486602297112, "deflection": 0.005154944067178449, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1853", "improvement_over_parent": null }, "node_1855": { "node_id": "node_1855", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1854", "improvement_over_parent": null }, "node_1856": { "node_id": "node_1856", "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.14 kg\n Factor of Safety: 0.85\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.1356292254018, "fos_buckling": 0.8497645005217046, "fos_yielding": 2.1566225781929176, "deflection": 0.00696026579774571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1857": { "node_id": "node_1857", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 288.98 kg\n Factor of Safety: 1.28\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.97683543737406, "fos_buckling": 1.2770855628962854, "fos_yielding": 2.183191536402627, "deflection": 0.005491849247803679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002225)" }, "parent_node_id": "node_1856", "improvement_over_parent": null }, "node_1858": { "node_id": "node_1858", "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 296.07 kg\n Factor of Safety: 1.28\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.06882066684415, "fos_buckling": 1.2796292189372398, "fos_yielding": 2.1804545908289783, "deflection": 0.0054254291718295825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.348)" }, "parent_node_id": "node_1857", "improvement_over_parent": null }, "node_1859": { "node_id": "node_1859", "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 297.27 kg\n Factor of Safety: 1.28\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.2682885401853, "fos_buckling": 1.2807234811770665, "fos_yielding": 2.186688780587646, "deflection": 0.005415598304569184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.495)" }, "parent_node_id": "node_1858", "improvement_over_parent": null }, "node_1860": { "node_id": "node_1860", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.31\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.70797288627574, "fos_buckling": 1.3082689807442238, "fos_yielding": 2.1864170176520386, "deflection": 0.005353304565642823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.300)" }, "parent_node_id": "node_1859", "improvement_over_parent": null }, "node_1861": { "node_id": "node_1861", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1860", "improvement_over_parent": null }, "node_1862": { "node_id": "node_1862", "content": "INITIAL DESIGN (Trace 266)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n\nPerformance:\n Mass: 160.93 kg\n Factor of Safety: 0.49\n Max Deflection: 6.27e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.9338082189685, "fos_buckling": 0.4876096891191657, "fos_yielding": 1.499216345581899, "deflection": 6266271018823.342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1863": { "node_id": "node_1863", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 169.68 kg\n Factor of Safety: 0.31\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.67922589680077, "fos_buckling": 0.3106972351524781, "fos_yielding": 1.2788526105338547, "deflection": 0.012010193692971158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002544)" }, "parent_node_id": "node_1862", "improvement_over_parent": null }, "node_1864": { "node_id": "node_1864", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 221.05 kg\n Factor of Safety: 0.39\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.05470297974426, "fos_buckling": 0.3886898909514765, "fos_yielding": 1.6623665655948394, "deflection": 0.009242714502376674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_1863", "improvement_over_parent": null }, "node_1865": { "node_id": "node_1865", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 246.45 kg\n Factor of Safety: 0.42\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.44945441578992, "fos_buckling": 0.4245389864848175, "fos_yielding": 1.851284013664086, "deflection": 0.008300537119659678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1864", "improvement_over_parent": null }, "node_1866": { "node_id": "node_1866", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 269.67 kg\n Factor of Safety: 0.53\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.6729747969379, "fos_buckling": 0.5327108544793894, "fos_yielding": 1.8491384441843952, "deflection": 0.00815864208666295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1865", "improvement_over_parent": null }, "node_1867": { "node_id": "node_1867", "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n\nPerformance:\n Mass: 277.49 kg\n Factor of Safety: 0.53\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.48839817296886, "fos_buckling": 0.5318008919397151, "fos_yielding": 1.8484175125840507, "deflection": 0.008192861551644675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.385)" }, "parent_node_id": "node_1866", "improvement_over_parent": null }, "node_1868": { "node_id": "node_1868", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0090)]\n\nPerformance:\n Mass: 286.61 kg\n Factor of Safety: 0.53\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.60759686993913, "fos_buckling": 0.5307430507979535, "fos_yielding": 1.8475770248950643, "deflection": 0.008223306638961534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.357)" }, "parent_node_id": "node_1867", "improvement_over_parent": null }, "node_1869": { "node_id": "node_1869", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0090)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 312.40 kg\n Factor of Safety: 1.46\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 312.3982244123531, "fos_buckling": 1.4577672392456906, "fos_yielding": 2.2199255648262812, "deflection": 0.005135445968982442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1868", "improvement_over_parent": null }, "node_1870": { "node_id": "node_1870", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1869", "improvement_over_parent": null }, "node_1871": { "node_id": "node_1871", "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 187.49 kg\n Factor of Safety: 0.09\n Max Deflection: 4.41e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.4875345464993, "fos_buckling": 0.09270258737542209, "fos_yielding": 0.5131109805122253, "deflection": 44070661931107.46, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1872": { "node_id": "node_1872", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 241.80 kg\n Factor of Safety: 0.36\n Max Deflection: 2.32e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.80240880091407, "fos_buckling": 0.36214057398318295, "fos_yielding": 0.5944283807757674, "deflection": 23244247031278.965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1871", "improvement_over_parent": null }, "node_1873": { "node_id": "node_1873", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.59 kg\n Factor of Safety: 1.08\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.59303634332804, "fos_buckling": 1.0812593806852095, "fos_yielding": 2.3959993308532215, "deflection": 0.006314409072477575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1872", "improvement_over_parent": null }, "node_1874": { "node_id": "node_1874", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 280.28 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.2814076018166, "fos_buckling": 1.1349456311992516, "fos_yielding": 2.225889884989167, "deflection": 0.00602327485672669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1873", "improvement_over_parent": null }, "node_1875": { "node_id": "node_1875", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5049279829646, "fos_buckling": 1.514535982459582, "fos_yielding": 2.187771965683926, "deflection": 0.00515304060807496, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_1874", "improvement_over_parent": null }, "node_1876": { "node_id": "node_1876", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1875", "improvement_over_parent": null }, "node_1877": { "node_id": "node_1877", "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.32\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.5283098629821, "fos_buckling": 0.31864609409907274, "fos_yielding": 1.0063670921482637, "deflection": 0.016100387715046755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1878": { "node_id": "node_1878", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 180.72 kg\n Factor of Safety: 0.36\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.71990720901945, "fos_buckling": 0.36149483712662994, "fos_yielding": 1.1605339256915692, "deflection": 0.013968414091449726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1877", "improvement_over_parent": null }, "node_1879": { "node_id": "node_1879", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 184.21 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.2063357602914, "fos_buckling": 0.36135360995525095, "fos_yielding": 1.160329438940141, "deflection": 0.013671874452042675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.242)" }, "parent_node_id": "node_1878", "improvement_over_parent": null }, "node_1880": { "node_id": "node_1880", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 224.00 kg\n Factor of Safety: 0.43\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.99838456862844, "fos_buckling": 0.4269771792725571, "fos_yielding": 1.408576865544719, "deflection": 0.011274898387031447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_1879", "improvement_over_parent": null }, "node_1881": { "node_id": "node_1881", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 267.03 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.0323949341613, "fos_buckling": 0.49307176161078575, "fos_yielding": 1.6760985947441143, "deflection": 0.009486683005785444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1880", "improvement_over_parent": null }, "node_1882": { "node_id": "node_1882", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4147923896404, "fos_buckling": 1.5140935172801837, "fos_yielding": 2.1869811056584627, "deflection": 0.005154837971440869, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1881", "improvement_over_parent": null }, "node_1883": { "node_id": "node_1883", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1882", "improvement_over_parent": null }, "node_1884": { "node_id": "node_1884", "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 152.85 kg\n Factor of Safety: 0.65\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.85082224434515, "fos_buckling": 0.6524866747250584, "fos_yielding": 1.2030002573347587, "deflection": 0.010847298098263692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1885": { "node_id": "node_1885", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 199.52 kg\n Factor of Safety: 0.83\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.5156702957492, "fos_buckling": 0.825096532786668, "fos_yielding": 1.568509721267945, "deflection": 0.008341610250708356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1884", "improvement_over_parent": null }, "node_1886": { "node_id": "node_1886", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 233.92 kg\n Factor of Safety: 0.94\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.91703149217625, "fos_buckling": 0.9445163260682905, "fos_yielding": 1.837438605125173, "deflection": 0.007134578558688118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_1885", "improvement_over_parent": null }, "node_1887": { "node_id": "node_1887", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 254.31 kg\n Factor of Safety: 1.31\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.31417945675355, "fos_buckling": 1.3101477873560863, "fos_yielding": 1.8351297722245783, "deflection": 0.006126977165179267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004045)" }, "parent_node_id": "node_1886", "improvement_over_parent": null }, "node_1888": { "node_id": "node_1888", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.40438721325444, "fos_buckling": 1.5140049530417563, "fos_yielding": 2.1869149870669164, "deflection": 0.005154866301271724, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1887", "improvement_over_parent": null }, "node_1889": { "node_id": "node_1889", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1888", "improvement_over_parent": null }, "node_1890": { "node_id": "node_1890", "content": "INITIAL DESIGN (Trace 270)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 152.48 kg\n Factor of Safety: 0.64\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.48086811188054, "fos_buckling": 0.6387591213845178, "fos_yielding": 1.2894609996892916, "deflection": 0.01043089892779919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1891": { "node_id": "node_1891", "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 153.49 kg\n Factor of Safety: 0.64\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.48533062894217, "fos_buckling": 0.6386639916733897, "fos_yielding": 1.2894609996892916, "deflection": 0.010255544551058366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.527)" }, "parent_node_id": "node_1890", "improvement_over_parent": null }, "node_1892": { "node_id": "node_1892", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 199.41 kg\n Factor of Safety: 0.80\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.4083936382392, "fos_buckling": 0.8024583121712809, "fos_yielding": 1.674863789679514, "deflection": 0.007924718854100527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1891", "improvement_over_parent": null }, "node_1893": { "node_id": "node_1893", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 259.25 kg\n Factor of Safety: 1.00\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.2461769002623, "fos_buckling": 0.9976826072474265, "fos_yielding": 2.1767636751164257, "deflection": 0.006126639087009143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1892", "improvement_over_parent": null }, "node_1894": { "node_id": "node_1894", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.43 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.42952259602714, "fos_buckling": 1.076745453602854, "fos_yielding": 2.396281414135306, "deflection": 0.005576967695203641, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_1893", "improvement_over_parent": null }, "node_1895": { "node_id": "node_1895", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4612892812569, "fos_buckling": 1.5142776746061397, "fos_yielding": 2.1872903440347, "deflection": 0.005153923941198729, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1894", "improvement_over_parent": null }, "node_1896": { "node_id": "node_1896", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1895", "improvement_over_parent": null }, "node_1897": { "node_id": "node_1897", "content": "INITIAL DESIGN (Trace 271)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 238.79 kg\n Factor of Safety: 0.23\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.78668005616865, "fos_buckling": 0.22958082190651471, "fos_yielding": 1.1295793111058603, "deflection": 20473566409789.832, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1898": { "node_id": "node_1898", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 275.17 kg\n Factor of Safety: 1.09\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.1690775116478, "fos_buckling": 1.091743953452197, "fos_yielding": 2.182753213374954, "deflection": 0.0060319950315269695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_1897", "improvement_over_parent": null }, "node_1899": { "node_id": "node_1899", "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 276.04 kg\n Factor of Safety: 1.09\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.04301287200894, "fos_buckling": 1.091673149431396, "fos_yielding": 2.1884311750927017, "deflection": 0.006027041782317842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.497)" }, "parent_node_id": "node_1898", "improvement_over_parent": null }, "node_1900": { "node_id": "node_1900", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.38 kg\n Factor of Safety: 1.52\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 300.38414087738585, "fos_buckling": 1.5162111978814723, "fos_yielding": 2.185716786682545, "deflection": 0.005175729770888728, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1899", "improvement_over_parent": null }, "node_1901": { "node_id": "node_1901", "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0050)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.52\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.47109971123643, "fos_buckling": 1.5162053833212121, "fos_yielding": 2.177016374925145, "deflection": 0.005157695133976588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.192)" }, "parent_node_id": "node_1900", "improvement_over_parent": null }, "node_1902": { "node_id": "node_1902", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1901", "improvement_over_parent": null }, "node_1903": { "node_id": "node_1903", "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 193.64 kg\n Factor of Safety: 0.40\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.64005521965436, "fos_buckling": 0.3957508044316972, "fos_yielding": 1.292659693800555, "deflection": 0.009521844555247662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1904": { "node_id": "node_1904", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 211.63 kg\n Factor of Safety: 1.12\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.63031315039566, "fos_buckling": 1.1201797220125929, "fos_yielding": 1.5285663596834331, "deflection": 0.0073388658190757785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003421)" }, "parent_node_id": "node_1903", "improvement_over_parent": null }, "node_1905": { "node_id": "node_1905", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 247.23 kg\n Factor of Safety: 1.28\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.2279266496601, "fos_buckling": 1.2794419411386782, "fos_yielding": 1.7842314569806978, "deflection": 0.0062992688954741785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_1904", "improvement_over_parent": null }, "node_1906": { "node_id": "node_1906", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.51431814164954, "fos_buckling": 1.5144590456335538, "fos_yielding": 2.1876390101829775, "deflection": 0.005153106370111467, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_1905", "improvement_over_parent": null }, "node_1907": { "node_id": "node_1907", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1906", "improvement_over_parent": null }, "node_1908": { "node_id": "node_1908", "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.80 kg\n Factor of Safety: 0.94\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.7959609127887, "fos_buckling": 0.9419130499970366, "fos_yielding": 1.313894961135141, "deflection": 0.007268547816905378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1909": { "node_id": "node_1909", "content": "MODIFICATION: Increase 6 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 222.25 kg\n Factor of Safety: 1.14\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.24701657986978, "fos_buckling": 1.1403429682755164, "fos_yielding": 1.697847766351532, "deflection": 0.007138767244884625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.536)" }, "parent_node_id": "node_1908", "improvement_over_parent": null }, "node_1910": { "node_id": "node_1910", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 1.22\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.3533577884325, "fos_buckling": 1.2179573268769393, "fos_yielding": 1.694772645801131, "deflection": 0.007039436963946863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.553)" }, "parent_node_id": "node_1909", "improvement_over_parent": null }, "node_1911": { "node_id": "node_1911", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 234.19 kg\n Factor of Safety: 1.22\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.19265621396914, "fos_buckling": 1.2221489277294006, "fos_yielding": 1.690868713127624, "deflection": 0.00664364646458022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.412)" }, "parent_node_id": "node_1910", "improvement_over_parent": null }, "node_1912": { "node_id": "node_1912", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5337662018967, "fos_buckling": 1.5146088801770907, "fos_yielding": 2.188042453887129, "deflection": 0.00515306205238962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1911", "improvement_over_parent": null }, "node_1913": { "node_id": "node_1913", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1912", "improvement_over_parent": null }, "node_1914": { "node_id": "node_1914", "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1915": { "node_id": "node_1915", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 267.30 kg\n Factor of Safety: 0.87\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.295335950161, "fos_buckling": 0.8716052530401737, "fos_yielding": 2.166299833219534, "deflection": 0.006617169888570668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003743)" }, "parent_node_id": "node_1914", "improvement_over_parent": null }, "node_1916": { "node_id": "node_1916", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 275.80 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.7994900194466, "fos_buckling": 1.0909527278165914, "fos_yielding": 2.1661384926737277, "deflection": 0.006077925607065885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.335)" }, "parent_node_id": "node_1915", "improvement_over_parent": null }, "node_1917": { "node_id": "node_1917", "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 280.91 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.91427058514273, "fos_buckling": 1.090745782810556, "fos_yielding": 2.1897439847824103, "deflection": 0.006003118038159577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.431)" }, "parent_node_id": "node_1916", "improvement_over_parent": null }, "node_1918": { "node_id": "node_1918", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 286.48 kg\n Factor of Safety: 1.09\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.4789963624246, "fos_buckling": 1.0900708791683613, "fos_yielding": 2.1915126485753844, "deflection": 0.005969246579712325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.311)" }, "parent_node_id": "node_1917", "improvement_over_parent": null }, "node_1919": { "node_id": "node_1919", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.59695159399905, "fos_buckling": 1.46758805872575, "fos_yielding": 2.188829383960439, "deflection": 0.005190184302499501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_1918", "improvement_over_parent": null }, "node_1920": { "node_id": "node_1920", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1919", "improvement_over_parent": null }, "node_1921": { "node_id": "node_1921", "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 199.51 kg\n Factor of Safety: 0.92\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.51437990788813, "fos_buckling": 0.9202266185325569, "fos_yielding": 1.1539424311652442, "deflection": 0.007729274678020087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1922": { "node_id": "node_1922", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 255.34 kg\n Factor of Safety: 1.15\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.3377961707168, "fos_buckling": 1.1519892262471632, "fos_yielding": 1.4807988953567008, "deflection": 0.006065910051301734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1921", "improvement_over_parent": null }, "node_1923": { "node_id": "node_1923", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.78 kg\n Factor of Safety: 1.32\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.78326202902645, "fos_buckling": 1.316692829650618, "fos_yielding": 1.7249066063654686, "deflection": 0.005235715726349652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1922", "improvement_over_parent": null }, "node_1924": { "node_id": "node_1924", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.31\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.16281725135224, "fos_buckling": 1.3080753642776142, "fos_yielding": 2.207279433937883, "deflection": 0.005197869992225086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.318)" }, "parent_node_id": "node_1923", "improvement_over_parent": null }, "node_1925": { "node_id": "node_1925", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4512563944285, "fos_buckling": 1.5142514114435572, "fos_yielding": 2.186726289093361, "deflection": 0.00515407343435197, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.560)" }, "parent_node_id": "node_1924", "improvement_over_parent": null }, "node_1926": { "node_id": "node_1926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1925", "improvement_over_parent": null }, "node_1927": { "node_id": "node_1927", "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 185.95 kg\n Factor of Safety: 0.39\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.94731439037108, "fos_buckling": 0.3944155364292681, "fos_yielding": 1.2866196220903168, "deflection": 0.010159198927081727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1928": { "node_id": "node_1928", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 186.65 kg\n Factor of Safety: 0.39\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.65019372865285, "fos_buckling": 0.3943746220617111, "fos_yielding": 1.2865894522167904, "deflection": 0.0101956407617202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.236)" }, "parent_node_id": "node_1927", "improvement_over_parent": null }, "node_1929": { "node_id": "node_1929", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.14\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55142948825556, "fos_buckling": 1.1351583651843886, "fos_yielding": 1.5092225716728958, "deflection": 0.007748415569366459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003403)" }, "parent_node_id": "node_1928", "improvement_over_parent": null }, "node_1930": { "node_id": "node_1930", "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0006)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.42 kg\n Factor of Safety: 1.11\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.41574957086777, "fos_buckling": 1.1133233446371886, "fos_yielding": 1.509617580916269, "deflection": 0.00739950768672471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.401)" }, "parent_node_id": "node_1929", "improvement_over_parent": null }, "node_1931": { "node_id": "node_1931", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.07 kg\n Factor of Safety: 1.35\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.0743506108322, "fos_buckling": 1.3471824448858238, "fos_yielding": 1.8870485023834935, "deflection": 0.00593642699088469, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1930", "improvement_over_parent": null }, "node_1932": { "node_id": "node_1932", "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.65 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.6527638321201, "fos_buckling": 1.3485294485645376, "fos_yielding": 1.8948728319907333, "deflection": 0.00592536155733598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.626)" }, "parent_node_id": "node_1931", "improvement_over_parent": null }, "node_1933": { "node_id": "node_1933", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.3501150023702, "fos_buckling": 1.5126100056171528, "fos_yielding": 2.1793133051461075, "deflection": 0.005162984931574057, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1932", "improvement_over_parent": null }, "node_1934": { "node_id": "node_1934", "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3636137701672, "fos_buckling": 1.5137686736190274, "fos_yielding": 2.186541316912764, "deflection": 0.005155560844034052, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.621)" }, "parent_node_id": "node_1933", "improvement_over_parent": null }, "node_1935": { "node_id": "node_1935", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1934", "improvement_over_parent": null }, "node_1936": { "node_id": "node_1936", "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 177.68 kg\n Factor of Safety: 0.51\n Max Deflection: 1.11e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.68183066295586, "fos_buckling": 0.505062954698048, "fos_yielding": 1.5611245132951215, "deflection": 11130561495341.13, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1937": { "node_id": "node_1937", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 189.63 kg\n Factor of Safety: 0.33\n Max Deflection: 1.87e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.62732080877458, "fos_buckling": 0.32974549729711683, "fos_yielding": 0.999848689995929, "deflection": 0.018679969903640625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002994)" }, "parent_node_id": "node_1936", "improvement_over_parent": null }, "node_1938": { "node_id": "node_1938", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 239.51 kg\n Factor of Safety: 0.40\n Max Deflection: 1.49e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.5128302139371, "fos_buckling": 0.40204017357828087, "fos_yielding": 1.2570605362999439, "deflection": 0.014900382666592198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1937", "improvement_over_parent": null }, "node_1939": { "node_id": "node_1939", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n\nPerformance:\n Mass: 262.52 kg\n Factor of Safety: 0.80\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.5210004867961, "fos_buckling": 0.8005423607566352, "fos_yielding": 1.9045471488449472, "deflection": 0.007381006774085823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004753)" }, "parent_node_id": "node_1938", "improvement_over_parent": null }, "node_1940": { "node_id": "node_1940", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 297.65 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.646460995962, "fos_buckling": 0.8889286915922384, "fos_yielding": 2.1576769618750706, "deflection": 0.0065228518142710756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1939", "improvement_over_parent": null }, "node_1941": { "node_id": "node_1941", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2206606609382, "fos_buckling": 1.5132397752327948, "fos_yielding": 2.185393840358641, "deflection": 0.005157712855114248, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1940", "improvement_over_parent": null }, "node_1942": { "node_id": "node_1942", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1941", "improvement_over_parent": null }, "node_1943": { "node_id": "node_1943", "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 181.41 kg\n Factor of Safety: 0.60\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.40772057692877, "fos_buckling": 0.6009126390707991, "fos_yielding": 1.4863354382357956, "deflection": 0.01042374861687782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1944": { "node_id": "node_1944", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 185.26 kg\n Factor of Safety: 0.60\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.2554238779262, "fos_buckling": 0.6005672147281548, "fos_yielding": 1.5118202606616207, "deflection": 0.00959949055748818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002229)" }, "parent_node_id": "node_1943", "improvement_over_parent": null }, "node_1945": { "node_id": "node_1945", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 202.05 kg\n Factor of Safety: 0.89\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.0547392668022, "fos_buckling": 0.8937495880729937, "fos_yielding": 1.509208004228827, "deflection": 0.007849073953416393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003286)" }, "parent_node_id": "node_1944", "improvement_over_parent": null }, "node_1946": { "node_id": "node_1946", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 254.47 kg\n Factor of Safety: 1.10\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.4706677350867, "fos_buckling": 1.1007716644930123, "fos_yielding": 1.8975523552560594, "deflection": 0.006254235809701745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1945", "improvement_over_parent": null }, "node_1947": { "node_id": "node_1947", "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 260.75 kg\n Factor of Safety: 1.10\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.7541151928779, "fos_buckling": 1.098083602167107, "fos_yielding": 1.8998067046435163, "deflection": 0.006213535677717176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.399)" }, "parent_node_id": "node_1946", "improvement_over_parent": null }, "node_1948": { "node_id": "node_1948", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0063)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.11 kg\n Factor of Safety: 1.24\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.10725466891114, "fos_buckling": 1.243454066613513, "fos_yielding": 2.184881140249617, "deflection": 0.005410885482902899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_1947", "improvement_over_parent": null }, "node_1949": { "node_id": "node_1949", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0063)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.24\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.4229658948371, "fos_buckling": 1.2437725984530803, "fos_yielding": 2.4078829235969614, "deflection": 0.005375119974795021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.357)" }, "parent_node_id": "node_1948", "improvement_over_parent": null }, "node_1950": { "node_id": "node_1950", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1949", "improvement_over_parent": null }, "node_1951": { "node_id": "node_1951", "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.46 kg\n Factor of Safety: 0.47\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.4621247948292, "fos_buckling": 0.4748746223656221, "fos_yielding": 1.6042056395656596, "deflection": 0.0076975530906060975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1952": { "node_id": "node_1952", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 259.82 kg\n Factor of Safety: 1.35\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.82269764409665, "fos_buckling": 1.3481204102625837, "fos_yielding": 1.8841534725464866, "deflection": 0.005984547763743233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004320)" }, "parent_node_id": "node_1951", "improvement_over_parent": null }, "node_1953": { "node_id": "node_1953", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 263.07 kg\n Factor of Safety: 1.35\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.07373305081245, "fos_buckling": 1.3477115182055195, "fos_yielding": 1.8979319845901854, "deflection": 0.005926937345660422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.282)" }, "parent_node_id": "node_1952", "improvement_over_parent": null }, "node_1954": { "node_id": "node_1954", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3058301783811, "fos_buckling": 1.5136602742588419, "fos_yielding": 2.1861784012699834, "deflection": 0.00515651502790543, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1953", "improvement_over_parent": null }, "node_1955": { "node_id": "node_1955", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1954", "improvement_over_parent": null }, "node_1956": { "node_id": "node_1956", "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 199.93 kg\n Factor of Safety: 0.27\n Max Deflection: 2.99e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.93300670589684, "fos_buckling": 0.27169023476855, "fos_yielding": 0.5944283807757674, "deflection": 29943286456725.957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1957": { "node_id": "node_1957", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 230.93 kg\n Factor of Safety: 0.49\n Max Deflection: 2.31e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.92646966028957, "fos_buckling": 0.49124481991791713, "fos_yielding": 1.5797077573913367, "deflection": 23137513437704.47, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_1956", "improvement_over_parent": null }, "node_1958": { "node_id": "node_1958", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 256.72 kg\n Factor of Safety: 1.08\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.71709720270354, "fos_buckling": 1.0795624061059215, "fos_yielding": 2.39610612762191, "deflection": 0.006564672877074079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_1957", "improvement_over_parent": null }, "node_1959": { "node_id": "node_1959", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.75 kg\n Factor of Safety: 1.09\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.7488638879333, "fos_buckling": 1.091879164199069, "fos_yielding": 2.1877189981442906, "deflection": 0.006144592413566359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_1958", "improvement_over_parent": null }, "node_1960": { "node_id": "node_1960", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 279.10 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.10461104405124, "fos_buckling": 1.0913499413544516, "fos_yielding": 2.189951302358293, "deflection": 0.0060010678432533176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.220)" }, "parent_node_id": "node_1959", "improvement_over_parent": null }, "node_1961": { "node_id": "node_1961", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.44573904942814, "fos_buckling": 1.514141068638378, "fos_yielding": 2.18712409436708, "deflection": 0.005154049953230318, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_1960", "improvement_over_parent": null }, "node_1962": { "node_id": "node_1962", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1961", "improvement_over_parent": null }, "node_1963": { "node_id": "node_1963", "content": "INITIAL DESIGN (Trace 281)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 164.92 kg\n Factor of Safety: 0.53\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.91952132857983, "fos_buckling": 0.5281736595071559, "fos_yielding": 1.231287683642329, "deflection": 0.011604442388160536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1964": { "node_id": "node_1964", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 207.72 kg\n Factor of Safety: 0.65\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.7224757051999, "fos_buckling": 0.648990189423513, "fos_yielding": 1.5489500036840445, "deflection": 0.009235748781569918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_1963", "improvement_over_parent": null }, "node_1965": { "node_id": "node_1965", "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 213.43 kg\n Factor of Safety: 0.67\n Max Deflection: 9.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.43219389100585, "fos_buckling": 0.669606943284084, "fos_yielding": 1.550199505865176, "deflection": 0.009053305479597247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.468)" }, "parent_node_id": "node_1964", "improvement_over_parent": null }, "node_1966": { "node_id": "node_1966", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 266.74 kg\n Factor of Safety: 0.81\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.7361746399039, "fos_buckling": 0.8113814756586538, "fos_yielding": 1.9350390846396186, "deflection": 0.007265930393221199, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_1965", "improvement_over_parent": null }, "node_1967": { "node_id": "node_1967", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 298.05 kg\n Factor of Safety: 0.89\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.04667523837264, "fos_buckling": 0.8899077954679225, "fos_yielding": 2.1606630506853355, "deflection": 0.006514096792788671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1966", "improvement_over_parent": null }, "node_1968": { "node_id": "node_1968", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.62 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.62087490334886, "fos_buckling": 1.5148403176247807, "fos_yielding": 2.1884082455661846, "deflection": 0.005151347065466163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_1967", "improvement_over_parent": null }, "node_1969": { "node_id": "node_1969", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1968", "improvement_over_parent": null }, "node_1970": { "node_id": "node_1970", "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 161.61 kg\n Factor of Safety: 0.85\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.6099651346595, "fos_buckling": 0.8544825531588247, "fos_yielding": 1.2635441206190094, "deflection": 0.01016932386915658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1971": { "node_id": "node_1971", "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 165.49 kg\n Factor of Safety: 0.92\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.4912179933797, "fos_buckling": 0.9199866470190038, "fos_yielding": 1.2636443930420198, "deflection": 0.009898050481573812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.239)" }, "parent_node_id": "node_1970", "improvement_over_parent": null }, "node_1972": { "node_id": "node_1972", "content": "MODIFICATION: Increase 8 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 165.73 kg\n Factor of Safety: 0.92\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.72515882139174, "fos_buckling": 0.9208156794726322, "fos_yielding": 1.2647582623863818, "deflection": 0.00989565691634938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.178)" }, "parent_node_id": "node_1971", "improvement_over_parent": null }, "node_1973": { "node_id": "node_1973", "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 170.91 kg\n Factor of Safety: 0.94\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.91399031922475, "fos_buckling": 0.9431413557387369, "fos_yielding": 1.264979024135932, "deflection": 0.009301839650277428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.572)" }, "parent_node_id": "node_1972", "improvement_over_parent": null }, "node_1974": { "node_id": "node_1974", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 211.11 kg\n Factor of Safety: 1.14\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.1077258388915, "fos_buckling": 1.1354589567205018, "fos_yielding": 1.5606642670558568, "deflection": 0.007551162933369967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_1973", "improvement_over_parent": null }, "node_1975": { "node_id": "node_1975", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 215.67 kg\n Factor of Safety: 1.14\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.66804006032763, "fos_buckling": 1.138632253587396, "fos_yielding": 1.5577681780126817, "deflection": 0.0072041832759872, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.328)" }, "parent_node_id": "node_1974", "improvement_over_parent": null }, "node_1976": { "node_id": "node_1976", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.69 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.6943102706684, "fos_buckling": 1.3882874487732126, "fos_yielding": 1.967103285390478, "deflection": 0.005722468430540981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_1975", "improvement_over_parent": null }, "node_1977": { "node_id": "node_1977", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.71 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.7097517790767, "fos_buckling": 1.515214811756456, "fos_yielding": 2.189284952642201, "deflection": 0.005150206462088976, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1976", "improvement_over_parent": null }, "node_1978": { "node_id": "node_1978", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1977", "improvement_over_parent": null }, "node_1979": { "node_id": "node_1979", "content": "INITIAL DESIGN (Trace 283)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 239.21 kg\n Factor of Safety: 1.04\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.214221827494, "fos_buckling": 1.0355585761639967, "fos_yielding": 1.3166211133190335, "deflection": 0.0065514271740042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1980": { "node_id": "node_1980", "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 244.41 kg\n Factor of Safety: 1.04\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.41263584929868, "fos_buckling": 1.0356199699519164, "fos_yielding": 1.316699170088841, "deflection": 0.006347794095813306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.225)" }, "parent_node_id": "node_1979", "improvement_over_parent": null }, "node_1981": { "node_id": "node_1981", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 246.82 kg\n Factor of Safety: 1.17\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.8214122559241, "fos_buckling": 1.1690682509961108, "fos_yielding": 1.7960850629603398, "deflection": 0.006275603845537185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.408)" }, "parent_node_id": "node_1980", "improvement_over_parent": null }, "node_1982": { "node_id": "node_1982", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 298.37 kg\n Factor of Safety: 1.37\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.368512579712, "fos_buckling": 1.3744956154897487, "fos_yielding": 2.1683036885120925, "deflection": 0.005212342569880799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_1981", "improvement_over_parent": null }, "node_1983": { "node_id": "node_1983", "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4455647285073, "fos_buckling": 1.513658856790106, "fos_yielding": 2.1867770653333882, "deflection": 0.005154413801093809, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.269)" }, "parent_node_id": "node_1982", "improvement_over_parent": null }, "node_1984": { "node_id": "node_1984", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1983", "improvement_over_parent": null }, "node_1985": { "node_id": "node_1985", "content": "INITIAL DESIGN (Trace 284)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 200.24 kg\n Factor of Safety: 0.83\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.23727670972264, "fos_buckling": 0.828999389468813, "fos_yielding": 1.153987004113661, "deflection": 0.008477855779022726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1986": { "node_id": "node_1986", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 0.83\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.81742275559273, "fos_buckling": 0.8288887092003141, "fos_yielding": 1.1667874330127763, "deflection": 0.008370947082052932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.403)" }, "parent_node_id": "node_1985", "improvement_over_parent": null }, "node_1987": { "node_id": "node_1987", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 249.19 kg\n Factor of Safety: 0.98\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.1917643253062, "fos_buckling": 0.9821586144659815, "fos_yielding": 1.430937815262824, "deflection": 0.006871538762821496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_1986", "improvement_over_parent": null }, "node_1988": { "node_id": "node_1988", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 264.25 kg\n Factor of Safety: 1.12\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.246192932886, "fos_buckling": 1.1154137433783418, "fos_yielding": 1.429188668487678, "deflection": 0.0059079385670458414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003838)" }, "parent_node_id": "node_1987", "improvement_over_parent": null }, "node_1989": { "node_id": "node_1989", "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0072)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 275.39 kg\n Factor of Safety: 1.12\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.3928342084509, "fos_buckling": 1.1154790036881295, "fos_yielding": 1.429272287051466, "deflection": 0.005648888511838776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.391)" }, "parent_node_id": "node_1988", "improvement_over_parent": null }, "node_1990": { "node_id": "node_1990", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0083)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 313.02 kg\n Factor of Safety: 1.25\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 313.0151504419975, "fos_buckling": 1.252333441941276, "fos_yielding": 1.629868318446558, "deflection": 0.004983583715818113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_1989", "improvement_over_parent": null }, "node_1991": { "node_id": "node_1991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1990", "improvement_over_parent": null }, "node_1992": { "node_id": "node_1992", "content": "INITIAL DESIGN (Trace 285)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 141.13 kg\n Factor of Safety: 0.03\n Max Deflection: 2.76e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.12850840702436, "fos_buckling": 0.0313192373915955, "fos_yielding": 0.1200707596233106, "deflection": 276088858111466.62, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1993": { "node_id": "node_1993", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n\nPerformance:\n Mass: 164.22 kg\n Factor of Safety: 0.74\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.2242579425311, "fos_buckling": 0.7395973515287545, "fos_yielding": 1.467637080071418, "deflection": 0.010977943543075302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003677)" }, "parent_node_id": "node_1992", "improvement_over_parent": null }, "node_1994": { "node_id": "node_1994", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n\nPerformance:\n Mass: 169.09 kg\n Factor of Safety: 0.74\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.09368725013388, "fos_buckling": 0.7393312075859041, "fos_yielding": 1.5214473203153027, "deflection": 0.010020819103169874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.453)" }, "parent_node_id": "node_1993", "improvement_over_parent": null }, "node_1995": { "node_id": "node_1995", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 184.55 kg\n Factor of Safety: 0.74\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.54869546470644, "fos_buckling": 0.7384877646243557, "fos_yielding": 1.5214473203153038, "deflection": 0.008712279374082024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003008)" }, "parent_node_id": "node_1994", "improvement_over_parent": null }, "node_1996": { "node_id": "node_1996", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 228.94 kg\n Factor of Safety: 0.89\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.93650627549096, "fos_buckling": 0.8870424973503371, "fos_yielding": 1.8868525096833992, "deflection": 0.007049649726510661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1995", "improvement_over_parent": null }, "node_1997": { "node_id": "node_1997", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.87 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.8718234945693, "fos_buckling": 1.0762292058121035, "fos_yielding": 2.3963647003326884, "deflection": 0.005577745467876137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1996", "improvement_over_parent": null }, "node_1998": { "node_id": "node_1998", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5601947530579, "fos_buckling": 1.514902932217499, "fos_yielding": 2.188136883514019, "deflection": 0.005152419375262072, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_1997", "improvement_over_parent": null }, "node_1999": { "node_id": "node_1999", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1998", "improvement_over_parent": null }, "node_2000": { "node_id": "node_2000", "content": "INITIAL DESIGN (Trace 286)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 201.22 kg\n Factor of Safety: 0.98\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.22175480955727, "fos_buckling": 0.9822731070384595, "fos_yielding": 1.5818203365804242, "deflection": 0.008088233603387982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2001": { "node_id": "node_2001", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 228.28 kg\n Factor of Safety: 1.10\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.279100809233, "fos_buckling": 1.0990057490840692, "fos_yielding": 1.7923030476978203, "deflection": 0.0071404085835940516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2000", "improvement_over_parent": null }, "node_2002": { "node_id": "node_2002", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 234.16 kg\n Factor of Safety: 1.22\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.15562137917772, "fos_buckling": 1.2244333764707507, "fos_yielding": 1.792421000662484, "deflection": 0.00689381347844519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.266)" }, "parent_node_id": "node_2001", "improvement_over_parent": null }, "node_2003": { "node_id": "node_2003", "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 242.14 kg\n Factor of Safety: 1.11\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.14093661069785, "fos_buckling": 1.1099840424694665, "fos_yielding": 1.7871573905189653, "deflection": 0.0063902736939495585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.603)" }, "parent_node_id": "node_2002", "improvement_over_parent": null }, "node_2004": { "node_id": "node_2004", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.93 kg\n Factor of Safety: 1.33\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.92735096855165, "fos_buckling": 1.3336179322206902, "fos_yielding": 2.1880603005582766, "deflection": 0.005232623901646792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_2003", "improvement_over_parent": null }, "node_2005": { "node_id": "node_2005", "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.12 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1170352904327, "fos_buckling": 1.5126780438878782, "fos_yielding": 2.184552693878462, "deflection": 0.005159416411204918, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.399)" }, "parent_node_id": "node_2004", "improvement_over_parent": null }, "node_2006": { "node_id": "node_2006", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2005", "improvement_over_parent": null }, "node_2007": { "node_id": "node_2007", "content": "INITIAL DESIGN (Trace 287)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 153.46 kg\n Factor of Safety: 0.50\n Max Deflection: 6.04e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.45824997287562, "fos_buckling": 0.4950500229100867, "fos_yielding": 1.1888567615515349, "deflection": 6044745381741.781, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2008": { "node_id": "node_2008", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 174.17 kg\n Factor of Safety: 0.41\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.17483096584823, "fos_buckling": 0.4088997188284005, "fos_yielding": 1.2394571684280347, "deflection": 0.013957816336760907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004244)" }, "parent_node_id": "node_2007", "improvement_over_parent": null }, "node_2009": { "node_id": "node_2009", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 0.41\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.05883106815068, "fos_buckling": 0.4088726983567868, "fos_yielding": 1.2393746681037106, "deflection": 0.013959007648560735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.441)" }, "parent_node_id": "node_2008", "improvement_over_parent": null }, "node_2010": { "node_id": "node_2010", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 0.44\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.9535723217167, "fos_buckling": 0.4431021312368202, "fos_yielding": 1.4715628804259404, "deflection": 0.008433133907593577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004668)" }, "parent_node_id": "node_2009", "improvement_over_parent": null }, "node_2011": { "node_id": "node_2011", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 220.09 kg\n Factor of Safety: 0.44\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.08730314876928, "fos_buckling": 0.44152674195432384, "fos_yielding": 1.4703762689024134, "deflection": 0.00826415518837111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003488)" }, "parent_node_id": "node_2010", "improvement_over_parent": null }, "node_2012": { "node_id": "node_2012", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.57 kg\n Factor of Safety: 1.13\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.57023035841235, "fos_buckling": 1.1272063195839352, "fos_yielding": 1.7419449035192114, "deflection": 0.0065423568087851535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003930)" }, "parent_node_id": "node_2011", "improvement_over_parent": null }, "node_2013": { "node_id": "node_2013", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.79 kg\n Factor of Safety: 1.39\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.79303069168424, "fos_buckling": 1.391424326118626, "fos_yielding": 2.189377778321144, "deflection": 0.0052206121527669305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2012", "improvement_over_parent": null }, "node_2014": { "node_id": "node_2014", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2013", "improvement_over_parent": null }, "node_2015": { "node_id": "node_2015", "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 247.52 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.51994079604495, "fos_buckling": 0.44603036998325474, "fos_yielding": 1.083372321220109, "deflection": 0.013155208507956087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2016": { "node_id": "node_2016", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 260.21 kg\n Factor of Safety: 0.45\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.2083120545335, "fos_buckling": 0.44581995296361204, "fos_yielding": 1.422616881936996, "deflection": 0.01225864553981046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2015", "improvement_over_parent": null }, "node_2017": { "node_id": "node_2017", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 277.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.32626728610796, "fos_buckling": 0.4452531925861302, "fos_yielding": 1.4209412210424683, "deflection": 0.010714643484878843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2016", "improvement_over_parent": null }, "node_2018": { "node_id": "node_2018", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4140595688841, "fos_buckling": 1.5140594169008037, "fos_yielding": 2.1869447733595235, "deflection": 0.005154720601572747, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2017", "improvement_over_parent": null }, "node_2019": { "node_id": "node_2019", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2018", "improvement_over_parent": null }, "node_2020": { "node_id": "node_2020", "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 198.01 kg\n Factor of Safety: 0.63\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.00554692621625, "fos_buckling": 0.6266759561430163, "fos_yielding": 1.438670083968457, "deflection": 0.009750085303509992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2021": { "node_id": "node_2021", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 201.71 kg\n Factor of Safety: 1.07\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.71160774020677, "fos_buckling": 1.0743367289732442, "fos_yielding": 1.457258555036992, "deflection": 0.007693863087493622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002142)" }, "parent_node_id": "node_2020", "improvement_over_parent": null }, "node_2022": { "node_id": "node_2022", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 234.10 kg\n Factor of Safety: 1.22\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.10021596249192, "fos_buckling": 1.2216823617940082, "fos_yielding": 1.6899991535636356, "deflection": 0.006645825139952102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_2021", "improvement_over_parent": null }, "node_2023": { "node_id": "node_2023", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41700669591006, "fos_buckling": 1.5140826439431758, "fos_yielding": 2.1869471722015152, "deflection": 0.005154699849227449, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2022", "improvement_over_parent": null }, "node_2024": { "node_id": "node_2024", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2023", "improvement_over_parent": null }, "node_2025": { "node_id": "node_2025", "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.39\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.5025780517828, "fos_buckling": 0.3881207798541682, "fos_yielding": 1.259264442996062, "deflection": 0.013193821170849435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2026": { "node_id": "node_2026", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 200.01 kg\n Factor of Safety: 0.39\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.00797779059158, "fos_buckling": 0.3879252186971717, "fos_yielding": 1.2589781337922796, "deflection": 0.012605838392202612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003086)" }, "parent_node_id": "node_2025", "improvement_over_parent": null }, "node_2027": { "node_id": "node_2027", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 233.44 kg\n Factor of Safety: 0.44\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.4355490888639, "fos_buckling": 0.4418937364376051, "fos_yielding": 1.4672894632765996, "deflection": 0.010826301896861956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2026", "improvement_over_parent": null }, "node_2028": { "node_id": "node_2028", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 266.80 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.7972403192403, "fos_buckling": 0.4927138100350519, "fos_yielding": 1.6745965303733599, "deflection": 0.009494878707455658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2027", "improvement_over_parent": null }, "node_2029": { "node_id": "node_2029", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.18 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1796377747194, "fos_buckling": 1.5138515139022097, "fos_yielding": 2.1850114833680685, "deflection": 0.005158421890683665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2028", "improvement_over_parent": null }, "node_2030": { "node_id": "node_2030", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2029", "improvement_over_parent": null }, "node_2031": { "node_id": "node_2031", "content": "INITIAL DESIGN (Trace 291)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 228.66 kg\n Factor of Safety: 1.00\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.65884287871782, "fos_buckling": 0.9997124592948221, "fos_yielding": 1.698580229491074, "deflection": 0.006758236401820658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2032": { "node_id": "node_2032", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 258.89 kg\n Factor of Safety: 1.12\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.88870894315244, "fos_buckling": 1.1211340297899832, "fos_yielding": 1.921424866350511, "deflection": 0.005982410359989194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2031", "improvement_over_parent": null }, "node_2033": { "node_id": "node_2033", "content": "MODIFICATION: Increase 13 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 265.79 kg\n Factor of Safety: 1.36\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.7905128157519, "fos_buckling": 1.359180764139538, "fos_yielding": 1.9173083438259366, "deflection": 0.0058677163166696595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.555)" }, "parent_node_id": "node_2032", "improvement_over_parent": null }, "node_2034": { "node_id": "node_2034", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.52847751703626, "fos_buckling": 1.5144787770999246, "fos_yielding": 2.187654235927038, "deflection": 0.00515294729422554, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2033", "improvement_over_parent": null }, "node_2035": { "node_id": "node_2035", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2034", "improvement_over_parent": null }, "node_2036": { "node_id": "node_2036", "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 119.04 kg\n Factor of Safety: 0.60\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.03642708993338, "fos_buckling": 0.5977372793077834, "fos_yielding": 1.1072367542428692, "deflection": 0.015035374520767687, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2037": { "node_id": "node_2037", "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 122.94 kg\n Factor of Safety: 0.60\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.94142182473239, "fos_buckling": 0.5975620134726803, "fos_yielding": 1.1072060151733412, "deflection": 0.013768969883471406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.464)" }, "parent_node_id": "node_2036", "improvement_over_parent": null }, "node_2038": { "node_id": "node_2038", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 148.32 kg\n Factor of Safety: 0.71\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.31873912610973, "fos_buckling": 0.7073276876048474, "fos_yielding": 1.334646046792275, "deflection": 0.011433069435455094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_2037", "improvement_over_parent": null }, "node_2039": { "node_id": "node_2039", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 191.88 kg\n Factor of Safety: 0.89\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.8804277417741, "fos_buckling": 0.8850701514815575, "fos_yielding": 1.724148329658484, "deflection": 0.008864008521361632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2038", "improvement_over_parent": null }, "node_2040": { "node_id": "node_2040", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 209.83 kg\n Factor of Safety: 0.88\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.83494622952364, "fos_buckling": 0.8832924327234296, "fos_yielding": 1.700376066242773, "deflection": 0.008107174155076818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003623)" }, "parent_node_id": "node_2039", "improvement_over_parent": null }, "node_2041": { "node_id": "node_2041", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 228.65 kg\n Factor of Safety: 1.22\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.65245438777947, "fos_buckling": 1.2199299335588043, "fos_yielding": 1.6983728392919972, "deflection": 0.007039254883054484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003709)" }, "parent_node_id": "node_2040", "improvement_over_parent": null }, "node_2042": { "node_id": "node_2042", "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 234.68 kg\n Factor of Safety: 1.22\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.68290787395586, "fos_buckling": 1.2242901480790016, "fos_yielding": 1.6943133562586412, "deflection": 0.00662921656861642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.429)" }, "parent_node_id": "node_2041", "improvement_over_parent": null }, "node_2043": { "node_id": "node_2043", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.7356274377461, "fos_buckling": 1.515373416215727, "fos_yielding": 2.1893914910196637, "deflection": 0.005149111356100678, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_2042", "improvement_over_parent": null }, "node_2044": { "node_id": "node_2044", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2043", "improvement_over_parent": null }, "node_2045": { "node_id": "node_2045", "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 248.79 kg\n Factor of Safety: 0.49\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.790717101178, "fos_buckling": 0.49398355564972257, "fos_yielding": 1.6774801212025172, "deflection": 0.009831589644028242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2046": { "node_id": "node_2046", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 249.48 kg\n Factor of Safety: 0.49\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.47592356914888, "fos_buckling": 0.49395837772044343, "fos_yielding": 1.677441499724293, "deflection": 0.009814013608341167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.355)" }, "parent_node_id": "node_2045", "improvement_over_parent": null }, "node_2047": { "node_id": "node_2047", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 285.86 kg\n Factor of Safety: 1.22\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.858321024628, "fos_buckling": 1.2158546630911984, "fos_yielding": 2.1873063370372052, "deflection": 0.005548890453952395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2046", "improvement_over_parent": null }, "node_2048": { "node_id": "node_2048", "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 294.89 kg\n Factor of Safety: 1.45\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.88987963801645, "fos_buckling": 1.4532404560567658, "fos_yielding": 2.191838156779024, "deflection": 0.005224976554064631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.580)" }, "parent_node_id": "node_2047", "improvement_over_parent": null }, "node_2049": { "node_id": "node_2049", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.43 kg\n Factor of Safety: 1.46\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.43057878247106, "fos_buckling": 1.4569220308321162, "fos_yielding": 2.188316092040072, "deflection": 0.005139595202987131, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.527)" }, "parent_node_id": "node_2048", "improvement_over_parent": null }, "node_2050": { "node_id": "node_2050", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 307.38 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 307.3838217135865, "fos_buckling": 1.5215983788491734, "fos_yielding": 2.180234889840783, "deflection": 0.005121827511935794, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.200)" }, "parent_node_id": "node_2049", "improvement_over_parent": null }, "node_2051": { "node_id": "node_2051", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2050", "improvement_over_parent": null }, "node_2052": { "node_id": "node_2052", "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 202.58 kg\n Factor of Safety: 0.96\n Max Deflection: 3.36e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.5842285528004, "fos_buckling": 0.9560941838006418, "fos_yielding": 1.6822811409773482, "deflection": 3357598497887.0474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2053": { "node_id": "node_2053", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 222.70 kg\n Factor of Safety: 0.88\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.70286136257562, "fos_buckling": 0.8803506078067928, "fos_yielding": 1.869072379343016, "deflection": 0.007330838688022604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003855)" }, "parent_node_id": "node_2052", "improvement_over_parent": null }, "node_2054": { "node_id": "node_2054", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 226.79 kg\n Factor of Safety: 0.88\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.78740878547302, "fos_buckling": 0.8800867085726992, "fos_yielding": 1.8690723793430153, "deflection": 0.0071149284517348175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.276)" }, "parent_node_id": "node_2053", "improvement_over_parent": null }, "node_2055": { "node_id": "node_2055", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.63 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.6303084815768, "fos_buckling": 1.07551819305537, "fos_yielding": 2.3942619207733613, "deflection": 0.0055820929748094045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_2054", "improvement_over_parent": null }, "node_2056": { "node_id": "node_2056", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31867974006536, "fos_buckling": 1.5136224597651415, "fos_yielding": 2.1861878667759513, "deflection": 0.0051563294451022505, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2055", "improvement_over_parent": null }, "node_2057": { "node_id": "node_2057", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2056", "improvement_over_parent": null }, "node_2058": { "node_id": "node_2058", "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 180.11 kg\n Factor of Safety: 0.51\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.1128013961672, "fos_buckling": 0.5117704592983346, "fos_yielding": 1.4474485135713235, "deflection": 0.023637840241875752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2059": { "node_id": "node_2059", "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 181.19 kg\n Factor of Safety: 0.51\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.19227159009282, "fos_buckling": 0.5117704592983348, "fos_yielding": 1.4474485135713242, "deflection": 0.023734231323831498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.222)" }, "parent_node_id": "node_2058", "improvement_over_parent": null }, "node_2060": { "node_id": "node_2060", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n\nPerformance:\n Mass: 182.63 kg\n Factor of Safety: 0.65\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6301717985207, "fos_buckling": 0.6486210531429721, "fos_yielding": 1.1615019704437624, "deflection": 0.010896941211323839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001156)" }, "parent_node_id": "node_2059", "improvement_over_parent": null }, "node_2061": { "node_id": "node_2061", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 0.62\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.42554231019847, "fos_buckling": 0.6249723304734592, "fos_yielding": 1.4091605417778625, "deflection": 0.009963764323896373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002672)" }, "parent_node_id": "node_2060", "improvement_over_parent": null }, "node_2062": { "node_id": "node_2062", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 252.96 kg\n Factor of Safety: 0.79\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.9595958409854, "fos_buckling": 0.7860011334161583, "fos_yielding": 1.8311044710779636, "deflection": 0.007682818091682296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2061", "improvement_over_parent": null }, "node_2063": { "node_id": "node_2063", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.33\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.7039954170295, "fos_buckling": 1.326402599043552, "fos_yielding": 1.8599202994087596, "deflection": 0.006040751288405314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002790)" }, "parent_node_id": "node_2062", "improvement_over_parent": null }, "node_2064": { "node_id": "node_2064", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0065)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 265.87 kg\n Factor of Safety: 1.38\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.8666688850557, "fos_buckling": 1.3799532768603873, "fos_yielding": 1.8600617383979055, "deflection": 0.005826699505527719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.292)" }, "parent_node_id": "node_2063", "improvement_over_parent": null }, "node_2065": { "node_id": "node_2065", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0077)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 312.13 kg\n Factor of Safety: 1.57\n Max Deflection: 4.98e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 312.13240692932027, "fos_buckling": 1.5718063820511523, "fos_yielding": 2.182987966459864, "deflection": 0.004980663523171506, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2064", "improvement_over_parent": null }, "node_2066": { "node_id": "node_2066", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2065", "improvement_over_parent": null }, "node_2067": { "node_id": "node_2067", "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2068": { "node_id": "node_2068", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 189.87 kg\n Factor of Safety: 0.50\n Max Deflection: 3.08e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.86508066247978, "fos_buckling": 0.49760261993583593, "fos_yielding": 1.58514234873538, "deflection": 3082913610511.737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003697)" }, "parent_node_id": "node_2067", "improvement_over_parent": null }, "node_2069": { "node_id": "node_2069", "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 192.15 kg\n Factor of Safety: 0.50\n Max Deflection: 3.84e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.15092633359197, "fos_buckling": 0.49760261993583593, "fos_yielding": 1.6652775775090525, "deflection": 3842752440760.066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.181)" }, "parent_node_id": "node_2068", "improvement_over_parent": null }, "node_2070": { "node_id": "node_2070", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 212.26 kg\n Factor of Safety: 0.74\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.25734571170503, "fos_buckling": 0.7407793853317668, "fos_yielding": 1.6687631094406206, "deflection": 0.008921438249444736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004110)" }, "parent_node_id": "node_2069", "improvement_over_parent": null }, "node_2071": { "node_id": "node_2071", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n\nPerformance:\n Mass: 216.36 kg\n Factor of Safety: 0.74\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.3647033203149, "fos_buckling": 0.7412480755635023, "fos_yielding": 1.6687454629785274, "deflection": 0.008435649644823904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.282)" }, "parent_node_id": "node_2070", "improvement_over_parent": null }, "node_2072": { "node_id": "node_2072", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 229.56 kg\n Factor of Safety: 0.71\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.56149429175466, "fos_buckling": 0.7135724697954572, "fos_yielding": 1.6667810307424626, "deflection": 0.008424991242238371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003330)" }, "parent_node_id": "node_2071", "improvement_over_parent": null }, "node_2073": { "node_id": "node_2073", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.746426617733, "fos_buckling": 0.8891593057962283, "fos_yielding": 2.158545275062412, "deflection": 0.006520640788513603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2072", "improvement_over_parent": null }, "node_2074": { "node_id": "node_2074", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3206262827092, "fos_buckling": 1.5137583829148933, "fos_yielding": 2.186267529837008, "deflection": 0.005156311828358362, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2073", "improvement_over_parent": null }, "node_2075": { "node_id": "node_2075", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2074", "improvement_over_parent": null }, "node_2076": { "node_id": "node_2076", "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.14 kg\n Factor of Safety: 0.80\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.14202323267986, "fos_buckling": 0.8019482247428354, "fos_yielding": 1.518592436285497, "deflection": 0.00861510840957528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2077": { "node_id": "node_2077", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.93 kg\n Factor of Safety: 0.95\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.93199062959258, "fos_buckling": 0.9472460362537453, "fos_yielding": 1.8446773772489506, "deflection": 0.007109367104262813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2076", "improvement_over_parent": null }, "node_2078": { "node_id": "node_2078", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.34 kg\n Factor of Safety: 1.31\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.34384612373228, "fos_buckling": 1.3146230927931273, "fos_yielding": 1.8424326829428512, "deflection": 0.00610284778294243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003661)" }, "parent_node_id": "node_2077", "improvement_over_parent": null }, "node_2079": { "node_id": "node_2079", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.23914282109826, "fos_buckling": 1.513391441094586, "fos_yielding": 2.1856344921802546, "deflection": 0.00515769205477837, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2078", "improvement_over_parent": null }, "node_2080": { "node_id": "node_2080", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2079", "improvement_over_parent": null }, "node_2081": { "node_id": "node_2081", "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 198.33 kg\n Factor of Safety: 0.81\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.32777378245754, "fos_buckling": 0.8095917794423767, "fos_yielding": 1.4950893040799489, "deflection": 0.008592141455826322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2082": { "node_id": "node_2082", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n\nPerformance:\n Mass: 210.30 kg\n Factor of Safety: 0.92\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.30326617353867, "fos_buckling": 0.9186613714172828, "fos_yielding": 1.4877051630144988, "deflection": 0.007419422266437744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003002)" }, "parent_node_id": "node_2081", "improvement_over_parent": null }, "node_2083": { "node_id": "node_2083", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n\nPerformance:\n Mass: 238.70 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.7005015679792, "fos_buckling": 1.0218222304524243, "fos_yielding": 1.6874644303961004, "deflection": 0.006550845456359048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2082", "improvement_over_parent": null }, "node_2084": { "node_id": "node_2084", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 300.45 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.4538340181509, "fos_buckling": 1.2297129262374569, "fos_yielding": 2.1209480463488504, "deflection": 0.005228756036164939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2083", "improvement_over_parent": null }, "node_2085": { "node_id": "node_2085", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.25808999729145, "fos_buckling": 1.5134332287457657, "fos_yielding": 2.185820156872328, "deflection": 0.005157355301999099, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2084", "improvement_over_parent": null }, "node_2086": { "node_id": "node_2086", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2085", "improvement_over_parent": null }, "node_2087": { "node_id": "node_2087", "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2088": { "node_id": "node_2088", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 1.00\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.83869511033737, "fos_buckling": 0.9989195508806402, "fos_yielding": 1.9520216062342444, "deflection": 0.006774212096765545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003916)" }, "parent_node_id": "node_2087", "improvement_over_parent": null }, "node_2089": { "node_id": "node_2089", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 262.65 kg\n Factor of Safety: 1.22\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.64714035949766, "fos_buckling": 1.2210996699546262, "fos_yielding": 1.757011095824861, "deflection": 0.005885947864595394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004349)" }, "parent_node_id": "node_2088", "improvement_over_parent": null }, "node_2090": { "node_id": "node_2090", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 264.02 kg\n Factor of Safety: 1.22\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.02035947728865, "fos_buckling": 1.2150940606792489, "fos_yielding": 1.7483697683446737, "deflection": 0.005846682453170295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.307)" }, "parent_node_id": "node_2089", "improvement_over_parent": null }, "node_2091": { "node_id": "node_2091", "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0039)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0068)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 269.46 kg\n Factor of Safety: 1.21\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.46255567591936, "fos_buckling": 1.2149221944945423, "fos_yielding": 1.7481224742040262, "deflection": 0.005783006981846941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.661)" }, "parent_node_id": "node_2090", "improvement_over_parent": null }, "node_2092": { "node_id": "node_2092", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 300.53 kg\n Factor of Safety: 1.34\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.5321232440291, "fos_buckling": 1.3382209758862627, "fos_yielding": 1.9531601123906857, "deflection": 0.0051956613620804575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_2091", "improvement_over_parent": null }, "node_2093": { "node_id": "node_2093", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0067)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 309.48 kg\n Factor of Safety: 1.28\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 309.4843536552394, "fos_buckling": 1.2791004024430674, "fos_yielding": 1.9527324851272194, "deflection": 0.005142614820304262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.580)" }, "parent_node_id": "node_2092", "improvement_over_parent": null }, "node_2094": { "node_id": "node_2094", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2093", "improvement_over_parent": null }, "node_2095": { "node_id": "node_2095", "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 0.39\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.12981184707644, "fos_buckling": 0.3887292196805735, "fos_yielding": 1.262490329070028, "deflection": 0.009776284695090998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2096": { "node_id": "node_2096", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 192.68 kg\n Factor of Safety: 0.65\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.68428351915796, "fos_buckling": 0.6525103650265356, "fos_yielding": 1.473914958783647, "deflection": 0.008175359009161345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003333)" }, "parent_node_id": "node_2095", "improvement_over_parent": null }, "node_2097": { "node_id": "node_2097", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 203.23 kg\n Factor of Safety: 1.07\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.23456482699027, "fos_buckling": 1.0736257547185264, "fos_yielding": 1.4902936143088787, "deflection": 0.007572033154035282, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002225)" }, "parent_node_id": "node_2096", "improvement_over_parent": null }, "node_2098": { "node_id": "node_2098", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n\nPerformance:\n Mass: 260.02 kg\n Factor of Safety: 1.33\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.0211564641889, "fos_buckling": 1.3298778405680463, "fos_yielding": 1.9038101557523959, "deflection": 0.005944389693231491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2097", "improvement_over_parent": null }, "node_2099": { "node_id": "node_2099", "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0055)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n\nPerformance:\n Mass: 266.01 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.00887535619796, "fos_buckling": 1.3570683458242232, "fos_yielding": 1.9015672828969206, "deflection": 0.005876409523610964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.330)" }, "parent_node_id": "node_2098", "improvement_over_parent": null }, "node_2100": { "node_id": "node_2100", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0064)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 305.63 kg\n Factor of Safety: 1.52\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 305.62754541397163, "fos_buckling": 1.5199752699848161, "fos_yielding": 2.183500938331116, "deflection": 0.00512940008903397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2099", "improvement_over_parent": null }, "node_2101": { "node_id": "node_2101", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2100", "improvement_over_parent": null }, "node_2102": { "node_id": "node_2102", "content": "INITIAL DESIGN (Trace 301)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2103": { "node_id": "node_2103", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 286.29 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.2947197179306, "fos_buckling": 1.090693797349381, "fos_yielding": 2.1896601129467936, "deflection": 0.0060045721029973135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2102", "improvement_over_parent": null }, "node_2104": { "node_id": "node_2104", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41267494950506, "fos_buckling": 1.5140513260232196, "fos_yielding": 2.1869390657938568, "deflection": 0.005154763213045904, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2103", "improvement_over_parent": null }, "node_2105": { "node_id": "node_2105", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2104", "improvement_over_parent": null }, "node_2106": { "node_id": "node_2106", "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2107": { "node_id": "node_2107", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 278.71 kg\n Factor of Safety: 1.08\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.7070031779488, "fos_buckling": 1.0767181201293696, "fos_yielding": 2.3950779389083556, "deflection": 0.0058723006717252965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2106", "improvement_over_parent": null }, "node_2108": { "node_id": "node_2108", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 291.40 kg\n Factor of Safety: 1.26\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.3953744364374, "fos_buckling": 1.2631305350670772, "fos_yielding": 2.1870361689985307, "deflection": 0.005446923433789251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2107", "improvement_over_parent": null }, "node_2109": { "node_id": "node_2109", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 297.81 kg\n Factor of Safety: 1.24\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8142548400751, "fos_buckling": 1.2387875879806853, "fos_yielding": 2.1867815133448305, "deflection": 0.005389614331844158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.299)" }, "parent_node_id": "node_2108", "improvement_over_parent": null }, "node_2110": { "node_id": "node_2110", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 302.06 kg\n Factor of Safety: 1.34\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.06059645768875, "fos_buckling": 1.3406142718171297, "fos_yielding": 2.1864952717665846, "deflection": 0.0053049276919105845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.362)" }, "parent_node_id": "node_2109", "improvement_over_parent": null }, "node_2111": { "node_id": "node_2111", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2110", "improvement_over_parent": null }, "node_2112": { "node_id": "node_2112", "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 163.74 kg\n Factor of Safety: 0.72\n Max Deflection: 9.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.74289077091473, "fos_buckling": 0.7181767528931028, "fos_yielding": 1.2510444873562832, "deflection": 0.00969226000823865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2113": { "node_id": "node_2113", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 169.38 kg\n Factor of Safety: 0.72\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.37746419224464, "fos_buckling": 0.7178773376140377, "fos_yielding": 1.2510444873562832, "deflection": 0.00948663942753777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.639)" }, "parent_node_id": "node_2112", "improvement_over_parent": null }, "node_2114": { "node_id": "node_2114", "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 174.09 kg\n Factor of Safety: 0.72\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.08544437659822, "fos_buckling": 0.7171279024361721, "fos_yielding": 1.2510444873562832, "deflection": 0.009008088576206377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.439)" }, "parent_node_id": "node_2113", "improvement_over_parent": null }, "node_2115": { "node_id": "node_2115", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 217.85 kg\n Factor of Safety: 0.87\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.8496297100996, "fos_buckling": 0.8687833746490399, "fos_yielding": 1.5687014985399288, "deflection": 0.007225994426291638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.269)" }, "parent_node_id": "node_2114", "improvement_over_parent": null }, "node_2116": { "node_id": "node_2116", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 231.69 kg\n Factor of Safety: 1.12\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.6940660669165, "fos_buckling": 1.123039397237548, "fos_yielding": 1.4410429633807693, "deflection": 0.006712682920876304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003169)" }, "parent_node_id": "node_2115", "improvement_over_parent": null }, "node_2117": { "node_id": "node_2117", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.89 kg\n Factor of Safety: 1.22\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.89207038071515, "fos_buckling": 1.2162107578507249, "fos_yielding": 1.6812659049695833, "deflection": 0.006679490629018389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.185)" }, "parent_node_id": "node_2116", "improvement_over_parent": null }, "node_2118": { "node_id": "node_2118", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3408529497944, "fos_buckling": 1.513659973147821, "fos_yielding": 2.186328470452471, "deflection": 0.005155818031207797, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2117", "improvement_over_parent": null }, "node_2119": { "node_id": "node_2119", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2118", "improvement_over_parent": null }, "node_2120": { "node_id": "node_2120", "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 217.91 kg\n Factor of Safety: 0.82\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.91366985757617, "fos_buckling": 0.8159501421731669, "fos_yielding": 1.8830003169420175, "deflection": 0.00908885985666948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2121": { "node_id": "node_2121", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 232.98 kg\n Factor of Safety: 0.82\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.97894644837783, "fos_buckling": 0.8150208418842304, "fos_yielding": 1.8808865657944207, "deflection": 0.007613857148678478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003841)" }, "parent_node_id": "node_2120", "improvement_over_parent": null }, "node_2122": { "node_id": "node_2122", "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 238.41 kg\n Factor of Safety: 0.82\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.41357146670663, "fos_buckling": 0.8150208418842301, "fos_yielding": 1.9036745043245547, "deflection": 0.0069407136687838255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.397)" }, "parent_node_id": "node_2121", "improvement_over_parent": null }, "node_2123": { "node_id": "node_2123", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 256.29 kg\n Factor of Safety: 1.37\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.29248479535676, "fos_buckling": 1.3667978561559344, "fos_yielding": 1.928364420863316, "deflection": 0.006335885007866539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003897)" }, "parent_node_id": "node_2122", "improvement_over_parent": null }, "node_2124": { "node_id": "node_2124", "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 263.08 kg\n Factor of Safety: 1.36\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.08305008661097, "fos_buckling": 1.3621071737202721, "fos_yielding": 1.9286020457960773, "deflection": 0.006022472250392162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.468)" }, "parent_node_id": "node_2123", "improvement_over_parent": null }, "node_2125": { "node_id": "node_2125", "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 267.04 kg\n Factor of Safety: 1.36\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.0398164840581, "fos_buckling": 1.3644603505772714, "fos_yielding": 1.9262209736762694, "deflection": 0.005840434532285927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.214)" }, "parent_node_id": "node_2124", "improvement_over_parent": null }, "node_2126": { "node_id": "node_2126", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.25595110355016, "fos_buckling": 1.5133812731517544, "fos_yielding": 2.185653687239215, "deflection": 0.00515713445949362, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2125", "improvement_over_parent": null }, "node_2127": { "node_id": "node_2127", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2126", "improvement_over_parent": null }, "node_2128": { "node_id": "node_2128", "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 242.47 kg\n Factor of Safety: 1.02\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.47396419870273, "fos_buckling": 1.0236290170702078, "fos_yielding": 1.9867882443567682, "deflection": 0.006839380271513055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2129": { "node_id": "node_2129", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 274.30 kg\n Factor of Safety: 1.13\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.301936856113, "fos_buckling": 1.1345479598241963, "fos_yielding": 2.245515006109856, "deflection": 0.00605884928035201, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2128", "improvement_over_parent": null }, "node_2130": { "node_id": "node_2130", "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.24 kg\n Factor of Safety: 1.13\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.2381900691015, "fos_buckling": 1.134741154056917, "fos_yielding": 2.225416376708247, "deflection": 0.006024415036572109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.538)" }, "parent_node_id": "node_2129", "improvement_over_parent": null }, "node_2131": { "node_id": "node_2131", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4617104502495, "fos_buckling": 1.514270870510374, "fos_yielding": 2.187296457977363, "deflection": 0.005153941287163819, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2130", "improvement_over_parent": null }, "node_2132": { "node_id": "node_2132", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2131", "improvement_over_parent": null }, "node_2133": { "node_id": "node_2133", "content": "INITIAL DESIGN (Trace 306)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 228.55 kg\n Factor of Safety: 0.97\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.55283825278661, "fos_buckling": 0.967452538130346, "fos_yielding": 2.0906374490412727, "deflection": 0.007640150336360635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2134": { "node_id": "node_2134", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 243.49 kg\n Factor of Safety: 0.97\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.48784425463182, "fos_buckling": 0.966394427501347, "fos_yielding": 2.0906374490412727, "deflection": 0.006682668292773747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003805)" }, "parent_node_id": "node_2133", "improvement_over_parent": null }, "node_2135": { "node_id": "node_2135", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 0.97\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.9836387569159, "fos_buckling": 0.9656171761774343, "fos_yielding": 2.0906374490412727, "deflection": 0.006373526266218552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.575)" }, "parent_node_id": "node_2134", "improvement_over_parent": null }, "node_2136": { "node_id": "node_2136", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 285.25 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.24633226249426, "fos_buckling": 1.076176340080595, "fos_yielding": 2.394666854849555, "deflection": 0.005580382413628645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2135", "improvement_over_parent": null }, "node_2137": { "node_id": "node_2137", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.278098947724, "fos_buckling": 1.5134407062441473, "fos_yielding": 2.185824040449938, "deflection": 0.005157166530388582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2136", "improvement_over_parent": null }, "node_2138": { "node_id": "node_2138", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2137", "improvement_over_parent": null }, "node_2139": { "node_id": "node_2139", "content": "INITIAL DESIGN (Trace 307)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 226.05 kg\n Factor of Safety: 0.45\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.04725848298233, "fos_buckling": 0.44619224138707225, "fos_yielding": 1.1505612105719831, "deflection": 0.012806855028306157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2140": { "node_id": "node_2140", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n\nPerformance:\n Mass: 258.20 kg\n Factor of Safety: 1.24\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.20123557365133, "fos_buckling": 1.235300809617668, "fos_yielding": 1.7733956827170543, "deflection": 0.006013930056313547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005239)" }, "parent_node_id": "node_2139", "improvement_over_parent": null }, "node_2141": { "node_id": "node_2141", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 292.13 kg\n Factor of Safety: 1.38\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.13475153912987, "fos_buckling": 1.3773885598558246, "fos_yielding": 2.0089223454763503, "deflection": 0.005329086099137814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2140", "improvement_over_parent": null }, "node_2142": { "node_id": "node_2142", "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0074)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.38\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.3552374843572, "fos_buckling": 1.3785710828886009, "fos_yielding": 2.0106470562905834, "deflection": 0.005279438743924745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.650)" }, "parent_node_id": "node_2141", "improvement_over_parent": null }, "node_2143": { "node_id": "node_2143", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0074)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.47 kg\n Factor of Safety: 1.43\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.4712384304173, "fos_buckling": 1.4273405266110517, "fos_yielding": 2.189461585659919, "deflection": 0.005230791269861267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.314)" }, "parent_node_id": "node_2142", "improvement_over_parent": null }, "node_2144": { "node_id": "node_2144", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2143", "improvement_over_parent": null }, "node_2145": { "node_id": "node_2145", "content": "INITIAL DESIGN (Trace 308)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.14 kg\n Factor of Safety: 1.17\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.1415499130421, "fos_buckling": 1.1705266113177297, "fos_yielding": 2.1742717769280775, "deflection": 0.005526039378379836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2146": { "node_id": "node_2146", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.08 kg\n Factor of Safety: 1.38\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.07848161439574, "fos_buckling": 1.3838096949610161, "fos_yielding": 2.175442902777997, "deflection": 0.0054629666153670434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.289)" }, "parent_node_id": "node_2145", "improvement_over_parent": null }, "node_2147": { "node_id": "node_2147", "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.67 kg\n Factor of Safety: 1.49\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.6676171579691, "fos_buckling": 1.4868705389380776, "fos_yielding": 2.1757088827993507, "deflection": 0.005232958542871589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.381)" }, "parent_node_id": "node_2146", "improvement_over_parent": null }, "node_2148": { "node_id": "node_2148", "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.26 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.2574908506407, "fos_buckling": 1.483458673825769, "fos_yielding": 2.186012267821242, "deflection": 0.005200734405764639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.183)" }, "parent_node_id": "node_2147", "improvement_over_parent": null }, "node_2149": { "node_id": "node_2149", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41201862034495, "fos_buckling": 1.5140192400012777, "fos_yielding": 2.1869363015744407, "deflection": 0.005154845411392907, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.287)" }, "parent_node_id": "node_2148", "improvement_over_parent": null }, "node_2150": { "node_id": "node_2150", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2149", "improvement_over_parent": null }, "node_2151": { "node_id": "node_2151", "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.13\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.4108298324044, "fos_buckling": 1.1293466206337217, "fos_yielding": 1.71327186544186, "deflection": 0.007004408632320202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2152": { "node_id": "node_2152", "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 233.82 kg\n Factor of Safety: 1.14\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.82472537872187, "fos_buckling": 1.1423202600546054, "fos_yielding": 1.7135024683819118, "deflection": 0.006621840273894857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.506)" }, "parent_node_id": "node_2151", "improvement_over_parent": null }, "node_2153": { "node_id": "node_2153", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.30 kg\n Factor of Safety: 1.42\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.30091693627116, "fos_buckling": 1.4206345814394565, "fos_yielding": 2.189408410120106, "deflection": 0.005199000771312238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2152", "improvement_over_parent": null }, "node_2154": { "node_id": "node_2154", "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.483664085406, "fos_buckling": 1.514066731995897, "fos_yielding": 2.1871973587579094, "deflection": 0.005153539325311065, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.241)" }, "parent_node_id": "node_2153", "improvement_over_parent": null }, "node_2155": { "node_id": "node_2155", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2154", "improvement_over_parent": null }, "node_2156": { "node_id": "node_2156", "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 242.74 kg\n Factor of Safety: 1.15\n Max Deflection: 6.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.74303390814774, "fos_buckling": 1.1495177557031286, "fos_yielding": 1.8447920997908283, "deflection": 0.006443528272157159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2157": { "node_id": "node_2157", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.10 kg\n Factor of Safety: 1.34\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.09887202624077, "fos_buckling": 1.3449499404290894, "fos_yielding": 2.208402763760871, "deflection": 0.0053922505169324885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2156", "improvement_over_parent": null }, "node_2158": { "node_id": "node_2158", "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.03 kg\n Factor of Safety: 1.33\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.02739324629886, "fos_buckling": 1.3282431960526564, "fos_yielding": 2.2062558389829996, "deflection": 0.005256527763934824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.185)" }, "parent_node_id": "node_2157", "improvement_over_parent": null }, "node_2159": { "node_id": "node_2159", "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.11 kg\n Factor of Safety: 1.47\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.10759798117647, "fos_buckling": 1.4725004916980153, "fos_yielding": 2.187049718817169, "deflection": 0.005215669755055783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.520)" }, "parent_node_id": "node_2158", "improvement_over_parent": null }, "node_2160": { "node_id": "node_2160", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4062537713644, "fos_buckling": 1.5139881256320513, "fos_yielding": 2.1867959583023073, "deflection": 0.005154615978487705, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.368)" }, "parent_node_id": "node_2159", "improvement_over_parent": null }, "node_2161": { "node_id": "node_2161", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2160", "improvement_over_parent": null }, "node_2162": { "node_id": "node_2162", "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 154.14 kg\n Factor of Safety: 0.20\n Max Deflection: 5.23e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.13833690838845, "fos_buckling": 0.19862974135410247, "fos_yielding": 0.5283807829117932, "deflection": 5228641648358.751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2163": { "node_id": "node_2163", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.32\n Max Deflection: 1.98e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.23579766640182, "fos_buckling": 0.3151483970785879, "fos_yielding": 0.9264069087446409, "deflection": 0.01975564047693154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003846)" }, "parent_node_id": "node_2162", "improvement_over_parent": null }, "node_2164": { "node_id": "node_2164", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 181.93 kg\n Factor of Safety: 0.31\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.92879906758083, "fos_buckling": 0.31497439201041544, "fos_yielding": 0.9259419209418912, "deflection": 0.016145099975062097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002134)" }, "parent_node_id": "node_2163", "improvement_over_parent": null }, "node_2165": { "node_id": "node_2165", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n\nPerformance:\n Mass: 199.21 kg\n Factor of Safety: 0.88\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.2120819774283, "fos_buckling": 0.8754253181224273, "fos_yielding": 1.0934851235154504, "deflection": 0.007796308869515313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003498)" }, "parent_node_id": "node_2164", "improvement_over_parent": null }, "node_2166": { "node_id": "node_2166", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 244.61 kg\n Factor of Safety: 1.06\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.61184200940454, "fos_buckling": 1.0572771781531922, "fos_yielding": 1.3461753370121095, "deflection": 0.006371137832046593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2165", "improvement_over_parent": null }, "node_2167": { "node_id": "node_2167", "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n\nPerformance:\n Mass: 250.01 kg\n Factor of Safety: 1.06\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.0120502496515, "fos_buckling": 1.0582140182916009, "fos_yielding": 1.3473681662106471, "deflection": 0.006329731906765288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.362)" }, "parent_node_id": "node_2166", "improvement_over_parent": null }, "node_2168": { "node_id": "node_2168", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0061)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 307.23 kg\n Factor of Safety: 1.27\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.23457407526513, "fos_buckling": 1.2741902036111037, "fos_yielding": 1.6625433759477914, "deflection": 0.005170914759680776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2167", "improvement_over_parent": null }, "node_2169": { "node_id": "node_2169", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2168", "improvement_over_parent": null }, "node_2170": { "node_id": "node_2170", "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 170.25 kg\n Factor of Safety: 0.40\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.24564837099206, "fos_buckling": 0.3984783275038898, "fos_yielding": 1.3008141938655613, "deflection": 0.01134173568367859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2171": { "node_id": "node_2171", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 177.71 kg\n Factor of Safety: 0.40\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.70517173489338, "fos_buckling": 0.3982589244484436, "fos_yielding": 1.3006523268764434, "deflection": 0.010307204121089389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.439)" }, "parent_node_id": "node_2170", "improvement_over_parent": null }, "node_2172": { "node_id": "node_2172", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 195.80 kg\n Factor of Safety: 0.81\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.799213512601, "fos_buckling": 0.8116641064382201, "fos_yielding": 1.5394835629462909, "deflection": 0.008497676084046266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003442)" }, "parent_node_id": "node_2171", "improvement_over_parent": null }, "node_2173": { "node_id": "node_2173", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 212.88 kg\n Factor of Safety: 1.13\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.87720285817434, "fos_buckling": 1.125760642144241, "fos_yielding": 1.5375934949801373, "deflection": 0.007296587437245895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003344)" }, "parent_node_id": "node_2172", "improvement_over_parent": null }, "node_2174": { "node_id": "node_2174", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 248.86 kg\n Factor of Safety: 1.29\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.8618468180344, "fos_buckling": 1.286403631583182, "fos_yielding": 1.7960311504193567, "deflection": 0.006258700764966582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_2173", "improvement_over_parent": null }, "node_2175": { "node_id": "node_2175", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.47850313882077, "fos_buckling": 1.5141526738565907, "fos_yielding": 2.187471610750114, "deflection": 0.005153708937496852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_2174", "improvement_over_parent": null }, "node_2176": { "node_id": "node_2176", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2175", "improvement_over_parent": null }, "node_2177": { "node_id": "node_2177", "content": "INITIAL DESIGN (Trace 313)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 218.10 kg\n Factor of Safety: 0.44\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.1043659958218, "fos_buckling": 0.4421751973214736, "fos_yielding": 1.4725685139916658, "deflection": 0.008411003339055879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2178": { "node_id": "node_2178", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.19 kg\n Factor of Safety: 0.53\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.1909376111825, "fos_buckling": 0.5319325326529758, "fos_yielding": 1.8468447943940896, "deflection": 0.006733448679872009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_2177", "improvement_over_parent": null }, "node_2179": { "node_id": "node_2179", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.98 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.9815651535965, "fos_buckling": 1.4828457882510497, "fos_yielding": 2.1864234446420916, "deflection": 0.005201360640375489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2178", "improvement_over_parent": null }, "node_2180": { "node_id": "node_2180", "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31870396800383, "fos_buckling": 1.5136395884309177, "fos_yielding": 2.1862333347478105, "deflection": 0.0051563835070929, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.266)" }, "parent_node_id": "node_2179", "improvement_over_parent": null }, "node_2181": { "node_id": "node_2181", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2180", "improvement_over_parent": null }, "node_2182": { "node_id": "node_2182", "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.89\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.43236728208757, "fos_buckling": 0.8928847977759582, "fos_yielding": 1.7484206738378303, "deflection": 0.008615696752078905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2183": { "node_id": "node_2183", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 216.60 kg\n Factor of Safety: 0.89\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.59932001501366, "fos_buckling": 0.8910715952718348, "fos_yielding": 1.7217854242867079, "deflection": 0.007659174699599893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003669)" }, "parent_node_id": "node_2182", "improvement_over_parent": null }, "node_2184": { "node_id": "node_2184", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 276.83 kg\n Factor of Safety: 1.09\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.8272816159909, "fos_buckling": 1.0908809765505485, "fos_yielding": 2.1969650625521573, "deflection": 0.006022555822174036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_2183", "improvement_over_parent": null }, "node_2185": { "node_id": "node_2185", "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 278.92 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.91968021711244, "fos_buckling": 1.0907963107597747, "fos_yielding": 2.188569379949277, "deflection": 0.006005106902620196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.217)" }, "parent_node_id": "node_2184", "improvement_over_parent": null }, "node_2186": { "node_id": "node_2186", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.26080822248935, "fos_buckling": 1.5134883274242217, "fos_yielding": 2.185743548072507, "deflection": 0.0051573846623179445, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2185", "improvement_over_parent": null }, "node_2187": { "node_id": "node_2187", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2186", "improvement_over_parent": null }, "node_2188": { "node_id": "node_2188", "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.85 kg\n Factor of Safety: 0.97\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.85345941065754, "fos_buckling": 0.9743572826272661, "fos_yielding": 1.8830119492369566, "deflection": 0.0065272193320529935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2189": { "node_id": "node_2189", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.31 kg\n Factor of Safety: 1.12\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.30784912289784, "fos_buckling": 1.1173689892458774, "fos_yielding": 2.186070256314724, "deflection": 0.005627745958709281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_2188", "improvement_over_parent": null }, "node_2190": { "node_id": "node_2190", "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.92 kg\n Factor of Safety: 1.31\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.9225759346568, "fos_buckling": 1.312335429274873, "fos_yielding": 2.186332268248303, "deflection": 0.005361386902579479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.318)" }, "parent_node_id": "node_2189", "improvement_over_parent": null }, "node_2191": { "node_id": "node_2191", "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3569405838533, "fos_buckling": 1.5139195151958633, "fos_yielding": 2.186493848092212, "deflection": 0.005155680589073509, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.282)" }, "parent_node_id": "node_2190", "improvement_over_parent": null }, "node_2192": { "node_id": "node_2192", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2191", "improvement_over_parent": null }, "node_2193": { "node_id": "node_2193", "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 185.87 kg\n Factor of Safety: 0.37\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.87132144300995, "fos_buckling": 0.3694131836859719, "fos_yielding": 1.1899023529258015, "deflection": 0.013414756314825797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2194": { "node_id": "node_2194", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n\nPerformance:\n Mass: 211.61 kg\n Factor of Safety: 1.13\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.6109948303748, "fos_buckling": 1.1344756837314922, "fos_yielding": 1.537084163929767, "deflection": 0.0073205168778313675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004125)" }, "parent_node_id": "node_2193", "improvement_over_parent": null }, "node_2195": { "node_id": "node_2195", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 240.77 kg\n Factor of Safety: 1.27\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.76904837529162, "fos_buckling": 1.266745922880747, "fos_yielding": 1.7476235316163622, "deflection": 0.006448474673575808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_2194", "improvement_over_parent": null }, "node_2196": { "node_id": "node_2196", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.17 kg\n Factor of Safety: 1.51\n Max Deflection: 5.21e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.17042885738175, "fos_buckling": 1.5145100079120941, "fos_yielding": 2.168403261898594, "deflection": 0.005213033736657327, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2195", "improvement_over_parent": null }, "node_2197": { "node_id": "node_2197", "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3901010286917, "fos_buckling": 1.5139560527099873, "fos_yielding": 2.1867917426976664, "deflection": 0.00515511307696976, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.333)" }, "parent_node_id": "node_2196", "improvement_over_parent": null }, "node_2198": { "node_id": "node_2198", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2197", "improvement_over_parent": null }, "node_2199": { "node_id": "node_2199", "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 163.78 kg\n Factor of Safety: 0.53\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.78027214613383, "fos_buckling": 0.5278610785327055, "fos_yielding": 1.2072159092862136, "deflection": 0.011704762926167513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2200": { "node_id": "node_2200", "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 166.09 kg\n Factor of Safety: 0.54\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.09102667914436, "fos_buckling": 0.5351532660640335, "fos_yielding": 1.2076442770421931, "deflection": 0.011602626132594615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.198)" }, "parent_node_id": "node_2199", "improvement_over_parent": null }, "node_2201": { "node_id": "node_2201", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.51 kg\n Factor of Safety: 0.60\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.5116201935671, "fos_buckling": 0.6026737677636759, "fos_yielding": 1.3772093052856067, "deflection": 0.01018222074382261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_2200", "improvement_over_parent": null }, "node_2202": { "node_id": "node_2202", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 193.06 kg\n Factor of Safety: 1.03\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.05894014147825, "fos_buckling": 1.0338051920822773, "fos_yielding": 1.3950134171937822, "deflection": 0.008033328239747926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002045)" }, "parent_node_id": "node_2201", "improvement_over_parent": null }, "node_2203": { "node_id": "node_2203", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 237.18 kg\n Factor of Safety: 1.24\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.17868176640104, "fos_buckling": 1.235325820772298, "fos_yielding": 1.712090835995454, "deflection": 0.0065610751571824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2202", "improvement_over_parent": null }, "node_2204": { "node_id": "node_2204", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.08686755909116, "fos_buckling": 1.5127585967878532, "fos_yielding": 2.184569241270698, "deflection": 0.005160160594510846, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_2203", "improvement_over_parent": null }, "node_2205": { "node_id": "node_2205", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2204", "improvement_over_parent": null }, "node_2206": { "node_id": "node_2206", "content": "INITIAL DESIGN (Trace 318)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 248.34 kg\n Factor of Safety: 0.67\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.33862993523084, "fos_buckling": 0.665595458017189, "fos_yielding": 1.831746831709806, "deflection": 0.007883340179444517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2207": { "node_id": "node_2207", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 252.13 kg\n Factor of Safety: 0.77\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.13197368273543, "fos_buckling": 0.773626094158737, "fos_yielding": 1.8296927570375137, "deflection": 0.007680380815494225, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.258)" }, "parent_node_id": "node_2206", "improvement_over_parent": null }, "node_2208": { "node_id": "node_2208", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 256.85 kg\n Factor of Safety: 1.32\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.8511985047567, "fos_buckling": 1.321078604707911, "fos_yielding": 1.8532555417599788, "deflection": 0.0060677101543325515, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002774)" }, "parent_node_id": "node_2207", "improvement_over_parent": null }, "node_2209": { "node_id": "node_2209", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.387477956696, "fos_buckling": 1.5139536639761955, "fos_yielding": 2.1867081693447634, "deflection": 0.005155212427064689, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2208", "improvement_over_parent": null }, "node_2210": { "node_id": "node_2210", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2209", "improvement_over_parent": null }, "node_2211": { "node_id": "node_2211", "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 183.34 kg\n Factor of Safety: 0.25\n Max Deflection: 2.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.33829513731294, "fos_buckling": 0.2518610858052845, "fos_yielding": 1.1888567615515349, "deflection": 20520059131129.254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2212": { "node_id": "node_2212", "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 186.89 kg\n Factor of Safety: 0.62\n Max Deflection: 1.33e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.8853797929235, "fos_buckling": 0.61579942329658, "fos_yielding": 1.7622649457510777, "deflection": 13321147577170.816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.372)" }, "parent_node_id": "node_2211", "improvement_over_parent": null }, "node_2213": { "node_id": "node_2213", "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 189.73 kg\n Factor of Safety: 0.96\n Max Deflection: 8.39e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.72979662935228, "fos_buckling": 0.9571475622085652, "fos_yielding": 1.9496288745931798, "deflection": 8392197471274.777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.181)" }, "parent_node_id": "node_2212", "improvement_over_parent": null }, "node_2214": { "node_id": "node_2214", "content": "MODIFICATION: Increase 7 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 190.48 kg\n Factor of Safety: 1.25\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.4772755371432, "fos_buckling": 1.251571745969002, "fos_yielding": 1.7905902431051255, "deflection": 10197275495369.076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.575)" }, "parent_node_id": "node_2213", "improvement_over_parent": null }, "node_2215": { "node_id": "node_2215", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n\nPerformance:\n Mass: 218.20 kg\n Factor of Safety: 0.87\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.20464584163412, "fos_buckling": 0.8712570614549938, "fos_yielding": 1.6715049269798115, "deflection": 0.007835722753972063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004466)" }, "parent_node_id": "node_2214", "improvement_over_parent": null }, "node_2216": { "node_id": "node_2216", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 231.25 kg\n Factor of Safety: 1.21\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.25341714042384, "fos_buckling": 1.208963953213922, "fos_yielding": 1.6694927494909475, "deflection": 0.0067263036499382095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003290)" }, "parent_node_id": "node_2215", "improvement_over_parent": null }, "node_2217": { "node_id": "node_2217", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 261.82 kg\n Factor of Safety: 1.34\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.82107297887774, "fos_buckling": 1.3423089755724609, "fos_yielding": 1.888853856593724, "deflection": 0.005954874503614651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2216", "improvement_over_parent": null }, "node_2218": { "node_id": "node_2218", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.52825414205256, "fos_buckling": 1.514474159272224, "fos_yielding": 2.187662564511148, "deflection": 0.00515294939272659, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_2217", "improvement_over_parent": null }, "node_2219": { "node_id": "node_2219", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2218", "improvement_over_parent": null }, "node_2220": { "node_id": "node_2220", "content": "INITIAL DESIGN (Trace 320)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 191.69 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.68710192863153, "fos_buckling": 0.6891447911721249, "fos_yielding": 1.5074143695298459, "deflection": 0.010739288821829373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2221": { "node_id": "node_2221", "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 0.69\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.42968100664723, "fos_buckling": 0.689475878803816, "fos_yielding": 1.5074058128390107, "deflection": 0.01074157314259122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.318)" }, "parent_node_id": "node_2220", "improvement_over_parent": null }, "node_2222": { "node_id": "node_2222", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 199.88 kg\n Factor of Safety: 0.71\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.88304907995254, "fos_buckling": 0.7138668788152346, "fos_yielding": 1.5086575396137605, "deflection": 0.010522065571062894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.456)" }, "parent_node_id": "node_2221", "improvement_over_parent": null }, "node_2223": { "node_id": "node_2223", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 203.76 kg\n Factor of Safety: 1.09\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.7599711404358, "fos_buckling": 1.0894022499815532, "fos_yielding": 1.5294313786674947, "deflection": 0.008047641095458712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002247)" }, "parent_node_id": "node_2222", "improvement_over_parent": null }, "node_2224": { "node_id": "node_2224", "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 211.01 kg\n Factor of Safety: 1.12\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.0050076397746, "fos_buckling": 1.1172633582981182, "fos_yielding": 1.5240030124708315, "deflection": 0.00736007962661538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.658)" }, "parent_node_id": "node_2223", "improvement_over_parent": null }, "node_2225": { "node_id": "node_2225", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 268.83 kg\n Factor of Safety: 1.37\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.8250801588919, "fos_buckling": 1.371992367539003, "fos_yielding": 1.9390563809995327, "deflection": 0.00580259443614528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2224", "improvement_over_parent": null }, "node_2226": { "node_id": "node_2226", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.56473610925184, "fos_buckling": 1.5146058104746811, "fos_yielding": 2.1879048677271786, "deflection": 0.005152147031703673, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_2225", "improvement_over_parent": null }, "node_2227": { "node_id": "node_2227", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2226", "improvement_over_parent": null }, "node_2228": { "node_id": "node_2228", "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n\nPerformance:\n Mass: 158.31 kg\n Factor of Safety: 0.34\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.31303264564912, "fos_buckling": 0.3353430488230377, "fos_yielding": 1.0691119650853944, "deflection": 0.01495818820818316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2229": { "node_id": "node_2229", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n\nPerformance:\n Mass: 159.58 kg\n Factor of Safety: 0.34\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.5833088367977, "fos_buckling": 0.33521682447117485, "fos_yielding": 1.0690212498568323, "deflection": 0.011604474832634038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001016)" }, "parent_node_id": "node_2228", "improvement_over_parent": null }, "node_2230": { "node_id": "node_2230", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 174.44 kg\n Factor of Safety: 0.95\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.44255536434122, "fos_buckling": 0.9462195760726688, "fos_yielding": 1.2613906065130427, "deflection": 0.008867430753873631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002795)" }, "parent_node_id": "node_2229", "improvement_over_parent": null }, "node_2231": { "node_id": "node_2231", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.26 kg\n Factor of Safety: 1.11\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.26021621310574, "fos_buckling": 1.1107307869606116, "fos_yielding": 1.5119531820254704, "deflection": 0.007411818249090396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2230", "improvement_over_parent": null }, "node_2232": { "node_id": "node_2232", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 263.42 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.418784592092, "fos_buckling": 1.350794610893122, "fos_yielding": 1.9009099801686218, "deflection": 0.005912419209610277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_2231", "improvement_over_parent": null }, "node_2233": { "node_id": "node_2233", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0051)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 265.78 kg\n Factor of Safety: 1.35\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.78499716264554, "fos_buckling": 1.3510604549192908, "fos_yielding": 2.1626837751451564, "deflection": 0.005876970003376984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.285)" }, "parent_node_id": "node_2232", "improvement_over_parent": null }, "node_2234": { "node_id": "node_2234", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0059)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 305.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 305.41576401169254, "fos_buckling": 1.5134441363973958, "fos_yielding": 2.4824994159109335, "deflection": 0.0051294054857289745, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2233", "improvement_over_parent": null }, "node_2235": { "node_id": "node_2235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2234", "improvement_over_parent": null }, "node_2236": { "node_id": "node_2236", "content": "INITIAL DESIGN (Trace 322)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n\nPerformance:\n Mass: 141.69 kg\n Factor of Safety: 0.22\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.69365070481746, "fos_buckling": 0.22078819661860505, "fos_yielding": 0.9813756357702885, "deflection": 0.014840248118344961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2237": { "node_id": "node_2237", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 165.36 kg\n Factor of Safety: 0.25\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.35526169730772, "fos_buckling": 0.25487127473587445, "fos_yielding": 1.1441356763428838, "deflection": 0.012734963691318357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_2236", "improvement_over_parent": null }, "node_2238": { "node_id": "node_2238", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 215.88 kg\n Factor of Safety: 0.33\n Max Deflection: 9.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.87662596068418, "fos_buckling": 0.3250232956733385, "fos_yielding": 1.4905745424261367, "deflection": 0.009784241208170555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2237", "improvement_over_parent": null }, "node_2239": { "node_id": "node_2239", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 218.97 kg\n Factor of Safety: 0.45\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.9679840984768, "fos_buckling": 0.44686835157774957, "fos_yielding": 1.4901906856332872, "deflection": 0.009393550107977431, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.466)" }, "parent_node_id": "node_2238", "improvement_over_parent": null }, "node_2240": { "node_id": "node_2240", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.02 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.0183869788593, "fos_buckling": 0.5324312483782931, "fos_yielding": 1.8474638978216291, "deflection": 0.007588949278760147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2239", "improvement_over_parent": null }, "node_2241": { "node_id": "node_2241", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.59 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.59258664383555, "fos_buckling": 0.5319985610508865, "fos_yielding": 1.847121508235175, "deflection": 0.006704312894623425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2240", "improvement_over_parent": null }, "node_2242": { "node_id": "node_2242", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3832141862495, "fos_buckling": 1.5139249350614228, "fos_yielding": 2.186657099692671, "deflection": 0.0051553069456381755, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2241", "improvement_over_parent": null }, "node_2243": { "node_id": "node_2243", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2242", "improvement_over_parent": null }, "node_2244": { "node_id": "node_2244", "content": "INITIAL DESIGN (Trace 323)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.07 kg\n Factor of Safety: 0.79\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.07006052445251, "fos_buckling": 0.789107040615165, "fos_yielding": 1.500325809159777, "deflection": 0.008397147134988379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2245": { "node_id": "node_2245", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 197.87 kg\n Factor of Safety: 0.82\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.86683686245266, "fos_buckling": 0.8168630375579573, "fos_yielding": 1.4980887521020223, "deflection": 0.008262550836765624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.332)" }, "parent_node_id": "node_2244", "improvement_over_parent": null }, "node_2246": { "node_id": "node_2246", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 255.39 kg\n Factor of Safety: 1.03\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.38660440328806, "fos_buckling": 1.031883066206019, "fos_yielding": 1.929726871261468, "deflection": 0.006422644775040048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2245", "improvement_over_parent": null }, "node_2247": { "node_id": "node_2247", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.70 kg\n Factor of Safety: 1.03\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.7047555291888, "fos_buckling": 1.0290583051542825, "fos_yielding": 1.9298390637003489, "deflection": 0.00625027574310101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.256)" }, "parent_node_id": "node_2246", "improvement_over_parent": null }, "node_2248": { "node_id": "node_2248", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.58 kg\n Factor of Safety: 1.15\n Max Deflection: 5.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.5828453516229, "fos_buckling": 1.1488655329185211, "fos_yielding": 2.1793918167163535, "deflection": 0.0055402836385683146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2247", "improvement_over_parent": null }, "node_2249": { "node_id": "node_2249", "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.242959898278, "fos_buckling": 1.5134127725744866, "fos_yielding": 2.1855916562945015, "deflection": 0.00515774085124933, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.645)" }, "parent_node_id": "node_2248", "improvement_over_parent": null }, "node_2250": { "node_id": "node_2250", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2249", "improvement_over_parent": null }, "node_2251": { "node_id": "node_2251", "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0017)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0019)]\n\nPerformance:\n Mass: 105.72 kg\n Factor of Safety: 0.22\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.72095707721638, "fos_buckling": 0.21906251222479897, "fos_yielding": 0.6681752621194924, "deflection": 0.023688947223801646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2252": { "node_id": "node_2252", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 133.80 kg\n Factor of Safety: 0.27\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.80062065492123, "fos_buckling": 0.2719387616375796, "fos_yielding": 0.8446226446416699, "deflection": 0.018755052248651004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_2251", "improvement_over_parent": null }, "node_2253": { "node_id": "node_2253", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 154.18 kg\n Factor of Safety: 0.31\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.17764292103965, "fos_buckling": 0.3089314430151453, "fos_yielding": 0.9724014858753991, "deflection": 0.016299900135711334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2252", "improvement_over_parent": null }, "node_2254": { "node_id": "node_2254", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.66199346377311, "fos_buckling": 0.3823535628857863, "fos_yielding": 1.238091257871707, "deflection": 0.012817294013098019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2253", "improvement_over_parent": null }, "node_2255": { "node_id": "node_2255", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 239.96 kg\n Factor of Safety: 0.45\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.95768534216327, "fos_buckling": 0.45206640903357465, "fos_yielding": 1.5078607976464211, "deflection": 0.010536916248635855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_2254", "improvement_over_parent": null }, "node_2256": { "node_id": "node_2256", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n\nPerformance:\n Mass: 272.68 kg\n Factor of Safety: 1.39\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.6819201306599, "fos_buckling": 1.3889994966244605, "fos_yielding": 1.9665617511589513, "deflection": 0.005722063310282942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005340)" }, "parent_node_id": "node_2255", "improvement_over_parent": null }, "node_2257": { "node_id": "node_2257", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.95976025800996, "fos_buckling": 1.5130080649739488, "fos_yielding": 2.1834194295693994, "deflection": 0.005162074199468623, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2256", "improvement_over_parent": null }, "node_2258": { "node_id": "node_2258", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2257", "improvement_over_parent": null }, "node_2259": { "node_id": "node_2259", "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 231.61 kg\n Factor of Safety: 0.49\n Max Deflection: 8.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.6075746696364, "fos_buckling": 0.494197693549145, "fos_yielding": 1.6271368047028014, "deflection": 0.008985362040210585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2260": { "node_id": "node_2260", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 246.55 kg\n Factor of Safety: 0.65\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.54982335213072, "fos_buckling": 0.6541053969336182, "fos_yielding": 1.7201437050807566, "deflection": 0.008603214862315653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003807)" }, "parent_node_id": "node_2259", "improvement_over_parent": null }, "node_2261": { "node_id": "node_2261", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n\nPerformance:\n Mass: 251.92 kg\n Factor of Safety: 0.63\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.91699851631301, "fos_buckling": 0.6305834106082445, "fos_yielding": 1.70888298383211, "deflection": 0.008417380053773394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.408)" }, "parent_node_id": "node_2260", "improvement_over_parent": null }, "node_2262": { "node_id": "node_2262", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 256.78 kg\n Factor of Safety: 1.04\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.78222354403783, "fos_buckling": 1.0370959994330597, "fos_yielding": 1.8401916249400048, "deflection": 0.006065934836110704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002867)" }, "parent_node_id": "node_2261", "improvement_over_parent": null }, "node_2263": { "node_id": "node_2263", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 266.04 kg\n Factor of Safety: 1.08\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.0428135645634, "fos_buckling": 1.0805867192879652, "fos_yielding": 1.8490619175840188, "deflection": 0.006011452908067421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.464)" }, "parent_node_id": "node_2262", "improvement_over_parent": null }, "node_2264": { "node_id": "node_2264", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 268.49 kg\n Factor of Safety: 1.30\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 268.4898993309967, "fos_buckling": 1.2988875487251177, "fos_yielding": 1.9298401271181096, "deflection": 0.005863763985182947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002033)" }, "parent_node_id": "node_2263", "improvement_over_parent": null }, "node_2265": { "node_id": "node_2265", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 307.42 kg\n Factor of Safety: 1.46\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.42352647745724, "fos_buckling": 1.457515062980994, "fos_yielding": 2.208661862549975, "deflection": 0.0051335211194348035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2264", "improvement_over_parent": null }, "node_2266": { "node_id": "node_2266", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2265", "improvement_over_parent": null }, "node_2267": { "node_id": "node_2267", "content": "INITIAL DESIGN (Trace 326)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 160.50 kg\n Factor of Safety: 0.57\n Max Deflection: 9.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.49863565671185, "fos_buckling": 0.5675166215765565, "fos_yielding": 1.1547828566540292, "deflection": 0.009741696316037628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2268": { "node_id": "node_2268", "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 162.90 kg\n Factor of Safety: 0.57\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.897545257725, "fos_buckling": 0.5676195817643395, "fos_yielding": 1.1547592534307407, "deflection": 0.009671664048751452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.311)" }, "parent_node_id": "node_2267", "improvement_over_parent": null }, "node_2269": { "node_id": "node_2269", "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 164.05 kg\n Factor of Safety: 0.57\n Max Deflection: 9.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.05340247555915, "fos_buckling": 0.5676195817643399, "fos_yielding": 1.2612991263804725, "deflection": 0.00957567220857719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.277)" }, "parent_node_id": "node_2268", "improvement_over_parent": null }, "node_2270": { "node_id": "node_2270", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 192.04 kg\n Factor of Safety: 0.65\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.0378440812115, "fos_buckling": 0.6532065258483344, "fos_yielding": 1.475458210983831, "deflection": 0.008196031340848016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2269", "improvement_over_parent": null }, "node_2271": { "node_id": "node_2271", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 230.24 kg\n Factor of Safety: 0.76\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.2365802685283, "fos_buckling": 0.7647573014204898, "fos_yielding": 1.7673160523975289, "deflection": 0.006854169141767519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_2270", "improvement_over_parent": null }, "node_2272": { "node_id": "node_2272", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n\nPerformance:\n Mass: 246.83 kg\n Factor of Safety: 1.22\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.83413260516977, "fos_buckling": 1.2224594024529725, "fos_yielding": 1.78773845011751, "deflection": 0.0063459913413998325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003596)" }, "parent_node_id": "node_2271", "improvement_over_parent": null }, "node_2273": { "node_id": "node_2273", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.93 kg\n Factor of Safety: 1.47\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.9320679210446, "fos_buckling": 1.4652123591263697, "fos_yielding": 2.1839330470105627, "deflection": 0.005208780510622556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2272", "improvement_over_parent": null }, "node_2274": { "node_id": "node_2274", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.16 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1616687614035, "fos_buckling": 1.5129808899558745, "fos_yielding": 2.184931199576965, "deflection": 0.005159151388701187, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.311)" }, "parent_node_id": "node_2273", "improvement_over_parent": null }, "node_2275": { "node_id": "node_2275", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2274", "improvement_over_parent": null }, "node_2276": { "node_id": "node_2276", "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 150.51 kg\n Factor of Safety: 0.33\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.51422268239207, "fos_buckling": 0.3272022389036589, "fos_yielding": 1.0359359788290003, "deflection": 0.015778563446739315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2277": { "node_id": "node_2277", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 166.83 kg\n Factor of Safety: 0.36\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.8274500804284, "fos_buckling": 0.3581603841685047, "fos_yielding": 1.147366849614537, "deflection": 0.01425163943518217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_2276", "improvement_over_parent": null }, "node_2278": { "node_id": "node_2278", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 191.27 kg\n Factor of Safety: 0.40\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.26536070368567, "fos_buckling": 0.40291165555421926, "fos_yielding": 1.313984858795024, "deflection": 0.012451614643250898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2277", "improvement_over_parent": null }, "node_2279": { "node_id": "node_2279", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 0.49\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.79729492918062, "fos_buckling": 0.49417580147771023, "fos_yielding": 1.677664542866208, "deflection": 0.009764552144934796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2278", "improvement_over_parent": null }, "node_2280": { "node_id": "node_2280", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 281.18 kg\n Factor of Safety: 0.91\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.17969238465975, "fos_buckling": 0.9055379449538844, "fos_yielding": 2.1691581197252745, "deflection": 0.0056202244837397315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2279", "improvement_over_parent": null }, "node_2281": { "node_id": "node_2281", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 283.08 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.07575748066483, "fos_buckling": 0.9056676381361476, "fos_yielding": 2.1608643950713424, "deflection": 0.005599673471762589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.193)" }, "parent_node_id": "node_2280", "improvement_over_parent": null }, "node_2282": { "node_id": "node_2282", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.38909236269166, "fos_buckling": 1.5140628686091724, "fos_yielding": 2.1867180047398866, "deflection": 0.005155130968184268, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2281", "improvement_over_parent": null }, "node_2283": { "node_id": "node_2283", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2282", "improvement_over_parent": null }, "node_2284": { "node_id": "node_2284", "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 129.76 kg\n Factor of Safety: 0.75\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.7597316252568, "fos_buckling": 0.7478100291251106, "fos_yielding": 0.9801476843873247, "deflection": 0.01235487127178207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2285": { "node_id": "node_2285", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 162.36 kg\n Factor of Safety: 0.92\n Max Deflection: 9.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.3601168687447, "fos_buckling": 0.9163985044657619, "fos_yielding": 1.2250963323399808, "deflection": 0.009894193228306794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2284", "improvement_over_parent": null }, "node_2286": { "node_id": "node_2286", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 212.72 kg\n Factor of Safety: 1.16\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.72167870217896, "fos_buckling": 1.16184246654887, "fos_yielding": 1.6024339820194398, "deflection": 0.007575180888692441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_2285", "improvement_over_parent": null }, "node_2287": { "node_id": "node_2287", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 261.85 kg\n Factor of Safety: 1.38\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.8500358254277, "fos_buckling": 1.3839036499746924, "fos_yielding": 1.969255953912281, "deflection": 0.006172246021786939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_2286", "improvement_over_parent": null }, "node_2288": { "node_id": "node_2288", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 269.61 kg\n Factor of Safety: 1.39\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.6076717963186, "fos_buckling": 1.3892787671707318, "fos_yielding": 1.9639670508976832, "deflection": 0.00575224299807566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.504)" }, "parent_node_id": "node_2287", "improvement_over_parent": null }, "node_2289": { "node_id": "node_2289", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.43 kg\n Factor of Safety: 1.39\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.4326910579574, "fos_buckling": 1.3872805904474377, "fos_yielding": 1.965117185285995, "deflection": 0.0057276112254746395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.199)" }, "parent_node_id": "node_2288", "improvement_over_parent": null }, "node_2290": { "node_id": "node_2290", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.42183262111064, "fos_buckling": 1.5141561714015512, "fos_yielding": 2.187102250594984, "deflection": 0.005154768741107839, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_2289", "improvement_over_parent": null }, "node_2291": { "node_id": "node_2291", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2290", "improvement_over_parent": null }, "node_2292": { "node_id": "node_2292", "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 202.76 kg\n Factor of Safety: 0.85\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.7563655214148, "fos_buckling": 0.8480393091584498, "fos_yielding": 1.6452184813346313, "deflection": 0.008333858930799194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2293": { "node_id": "node_2293", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 225.76 kg\n Factor of Safety: 0.93\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.75511939959378, "fos_buckling": 0.9310261739624498, "fos_yielding": 1.830594145257433, "deflection": 0.007495145329004403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2292", "improvement_over_parent": null }, "node_2294": { "node_id": "node_2294", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 230.24 kg\n Factor of Safety: 0.96\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.23738516963587, "fos_buckling": 0.9616159121449722, "fos_yielding": 1.8305359440776592, "deflection": 0.007309819827381652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.190)" }, "parent_node_id": "node_2293", "improvement_over_parent": null }, "node_2295": { "node_id": "node_2295", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 249.32 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.32343837343757, "fos_buckling": 1.2882915382624307, "fos_yielding": 1.799354258015348, "deflection": 0.006247418978725105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003869)" }, "parent_node_id": "node_2294", "improvement_over_parent": null }, "node_2296": { "node_id": "node_2296", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.36173492771485, "fos_buckling": 1.5135590265015368, "fos_yielding": 2.1866486361164394, "deflection": 0.005155715844988488, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2295", "improvement_over_parent": null }, "node_2297": { "node_id": "node_2297", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2296", "improvement_over_parent": null }, "node_2298": { "node_id": "node_2298", "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 195.00 kg\n Factor of Safety: 0.03\n Max Deflection: 5.28e+15 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.00290331525184, "fos_buckling": 0.03151025787375176, "fos_yielding": 0.00808849853347812, "deflection": 5282628972772177.0, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2299": { "node_id": "node_2299", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 200.05 kg\n Factor of Safety: 0.68\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.04757043435671, "fos_buckling": 0.6782922059463601, "fos_yielding": 2.0706556245703984, "deflection": 10562229091365.457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002982)" }, "parent_node_id": "node_2298", "improvement_over_parent": null }, "node_2300": { "node_id": "node_2300", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.36\n Max Deflection: 1.83e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.1601545503631, "fos_buckling": 1.3565844118927202, "fos_yielding": 2.168794243208798, "deflection": 18306961230159.586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.195)" }, "parent_node_id": "node_2299", "improvement_over_parent": null }, "node_2301": { "node_id": "node_2301", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 225.18 kg\n Factor of Safety: 0.83\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.179356036263, "fos_buckling": 0.8343833795912132, "fos_yielding": 1.9834668553337906, "deflection": 0.007717796853729361, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004295)" }, "parent_node_id": "node_2300", "improvement_over_parent": null }, "node_2302": { "node_id": "node_2302", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n\nPerformance:\n Mass: 241.50 kg\n Factor of Safety: 0.84\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.50039977113445, "fos_buckling": 0.8354140780481779, "fos_yielding": 1.9674609950057373, "deflection": 0.007188367484830031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003785)" }, "parent_node_id": "node_2301", "improvement_over_parent": null }, "node_2303": { "node_id": "node_2303", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n\nPerformance:\n Mass: 259.89 kg\n Factor of Safety: 1.01\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.8855065616494, "fos_buckling": 1.0061608502963448, "fos_yielding": 1.9943972826490484, "deflection": 0.006576050924050817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004017)" }, "parent_node_id": "node_2302", "improvement_over_parent": null }, "node_2304": { "node_id": "node_2304", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 287.05 kg\n Factor of Safety: 1.09\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.0540270655145, "fos_buckling": 1.0906271737254125, "fos_yielding": 2.2015734158551363, "deflection": 0.005966373177180066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_2303", "improvement_over_parent": null }, "node_2305": { "node_id": "node_2305", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0060)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 304.17 kg\n Factor of Safety: 1.49\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.17198229708896, "fos_buckling": 1.4852432888750415, "fos_yielding": 2.1988860481058095, "deflection": 0.005159174661777039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2304", "improvement_over_parent": null }, "node_2306": { "node_id": "node_2306", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2305", "improvement_over_parent": null }, "node_2307": { "node_id": "node_2307", "content": "INITIAL DESIGN (Trace 331)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.43 kg\n Factor of Safety: 0.74\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.42524153809146, "fos_buckling": 0.738025618883242, "fos_yielding": 1.7483111910659705, "deflection": 0.008107287974923123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2308": { "node_id": "node_2308", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 281.27 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.2701417148395, "fos_buckling": 0.8824392962181326, "fos_yielding": 2.158076395812614, "deflection": 0.006579151490204986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_2307", "improvement_over_parent": null }, "node_2309": { "node_id": "node_2309", "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.53 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.526005344346, "fos_buckling": 0.8784059446349721, "fos_yielding": 2.1576789127217566, "deflection": 0.006578141610610865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.647)" }, "parent_node_id": "node_2308", "improvement_over_parent": null }, "node_2310": { "node_id": "node_2310", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.57 kg\n Factor of Safety: 0.88\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.5668665161483, "fos_buckling": 0.8768348978728255, "fos_yielding": 2.1574905646897813, "deflection": 0.00657808998467486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.287)" }, "parent_node_id": "node_2309", "improvement_over_parent": null }, "node_2311": { "node_id": "node_2311", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.14 kg\n Factor of Safety: 1.41\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.14106618112453, "fos_buckling": 1.407253830018029, "fos_yielding": 2.1838519670742755, "deflection": 0.00528512102407235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2310", "improvement_over_parent": null }, "node_2312": { "node_id": "node_2312", "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.25871680262446, "fos_buckling": 1.5134591690937917, "fos_yielding": 2.185895837874803, "deflection": 0.005157266718522483, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.206)" }, "parent_node_id": "node_2311", "improvement_over_parent": null }, "node_2313": { "node_id": "node_2313", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2312", "improvement_over_parent": null }, "node_2314": { "node_id": "node_2314", "content": "INITIAL DESIGN (Trace 332)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n\nPerformance:\n Mass: 164.03 kg\n Factor of Safety: 0.38\n Max Deflection: 9.88e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.03391149200849, "fos_buckling": 0.3767443107340497, "fos_yielding": 0.9411818451436906, "deflection": 987943362344.2007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2315": { "node_id": "node_2315", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 175.28 kg\n Factor of Safety: 0.38\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.27897029996615, "fos_buckling": 0.37629210183073025, "fos_yielding": 0.940524898478716, "deflection": 0.011716644840874077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002808)" }, "parent_node_id": "node_2314", "improvement_over_parent": null }, "node_2316": { "node_id": "node_2316", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 192.22 kg\n Factor of Safety: 0.51\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.22194380844923, "fos_buckling": 0.5106198013321809, "fos_yielding": 0.9999128111943955, "deflection": 0.011256681489450459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003210)" }, "parent_node_id": "node_2315", "improvement_over_parent": null }, "node_2317": { "node_id": "node_2317", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 194.06 kg\n Factor of Safety: 0.62\n Max Deflection: 9.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.06409283738458, "fos_buckling": 0.6216137163298461, "fos_yielding": 1.107150748771258, "deflection": 0.009941693225148618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001500)" }, "parent_node_id": "node_2316", "improvement_over_parent": null }, "node_2318": { "node_id": "node_2318", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 248.08 kg\n Factor of Safety: 0.77\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.07770080618386, "fos_buckling": 0.770073226812408, "fos_yielding": 1.4192015452865832, "deflection": 0.007800756420599117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_2317", "improvement_over_parent": null }, "node_2319": { "node_id": "node_2319", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 295.32 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.32099257880486, "fos_buckling": 0.8911499870051691, "fos_yielding": 1.6939246533305836, "deflection": 0.006570223307574224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_2318", "improvement_over_parent": null }, "node_2320": { "node_id": "node_2320", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 302.01 kg\n Factor of Safety: 0.89\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.0067135212786, "fos_buckling": 0.8901908862815388, "fos_yielding": 1.6937939025829636, "deflection": 0.006570781450110934, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.312)" }, "parent_node_id": "node_2319", "improvement_over_parent": null }, "node_2321": { "node_id": "node_2321", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0064)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 307.58 kg\n Factor of Safety: 1.31\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.5809131862548, "fos_buckling": 1.308970864568354, "fos_yielding": 1.7155542852671823, "deflection": 0.0051440007718383555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2320", "improvement_over_parent": null }, "node_2322": { "node_id": "node_2322", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2321", "improvement_over_parent": null }, "node_2323": { "node_id": "node_2323", "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 166.02 kg\n Factor of Safety: 0.59\n Max Deflection: 8.01e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.02401954127666, "fos_buckling": 0.5946741882834113, "fos_yielding": 1.188856761551535, "deflection": 8007275176143.967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2324": { "node_id": "node_2324", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 209.73 kg\n Factor of Safety: 0.34\n Max Deflection: 9.13e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.7304760292907, "fos_buckling": 0.3443748038608341, "fos_yielding": 2.070655624570399, "deflection": 9129149646730.027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2323", "improvement_over_parent": null }, "node_2325": { "node_id": "node_2325", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 230.04 kg\n Factor of Safety: 0.43\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.04381091131754, "fos_buckling": 0.4254410648330172, "fos_yielding": 1.8501444201380182, "deflection": 0.00830107880196742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2324", "improvement_over_parent": null }, "node_2326": { "node_id": "node_2326", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 255.83 kg\n Factor of Safety: 1.09\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.83443845373148, "fos_buckling": 1.0940552320247363, "fos_yielding": 2.225314843998495, "deflection": 0.006751879480029698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2325", "improvement_over_parent": null }, "node_2327": { "node_id": "node_2327", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 279.06 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.05795883487946, "fos_buckling": 1.0912279416291222, "fos_yielding": 2.189645073447861, "deflection": 0.006002200003488514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2326", "improvement_over_parent": null }, "node_2328": { "node_id": "node_2328", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.39908684025636, "fos_buckling": 1.5140021917386282, "fos_yielding": 2.186818157483979, "deflection": 0.005155014025569397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2327", "improvement_over_parent": null }, "node_2329": { "node_id": "node_2329", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2328", "improvement_over_parent": null }, "node_2330": { "node_id": "node_2330", "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 216.27 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.26695819658138, "fos_buckling": 0.3978286385082395, "fos_yielding": 0.9476809045291271, "deflection": 0.0157237592065362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2331": { "node_id": "node_2331", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 0.40\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.35957450079158, "fos_buckling": 0.39782863850823946, "fos_yielding": 0.9476809045291291, "deflection": 0.015661043830892434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.366)" }, "parent_node_id": "node_2330", "improvement_over_parent": null }, "node_2332": { "node_id": "node_2332", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 234.04 kg\n Factor of Safety: 0.40\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.04006300546428, "fos_buckling": 0.3975962269805542, "fos_yielding": 1.2415889262641902, "deflection": 0.013760314764535481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003624)" }, "parent_node_id": "node_2331", "improvement_over_parent": null }, "node_2333": { "node_id": "node_2333", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 269.06 kg\n Factor of Safety: 0.45\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.0612594540692, "fos_buckling": 0.44542737823706335, "fos_yielding": 1.422452658535127, "deflection": 0.011991760983016317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2332", "improvement_over_parent": null }, "node_2334": { "node_id": "node_2334", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 272.37 kg\n Factor of Safety: 0.45\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.36524324141516, "fos_buckling": 0.44526334526149103, "fos_yielding": 1.4214815267640262, "deflection": 0.0113614370402299, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.186)" }, "parent_node_id": "node_2333", "improvement_over_parent": null }, "node_2335": { "node_id": "node_2335", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.13 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.12650224086116, "fos_buckling": 0.44502717528503427, "fos_yielding": 1.4200843916936927, "deflection": 0.010724204727505553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.233)" }, "parent_node_id": "node_2334", "improvement_over_parent": null }, "node_2336": { "node_id": "node_2336", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2142945236373, "fos_buckling": 1.5132750884375916, "fos_yielding": 2.185572781200054, "deflection": 0.0051582763058472, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2335", "improvement_over_parent": null }, "node_2337": { "node_id": "node_2337", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2336", "improvement_over_parent": null }, "node_2338": { "node_id": "node_2338", "content": "INITIAL DESIGN (Trace 335)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2339": { "node_id": "node_2339", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 249.28 kg\n Factor of Safety: 0.97\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.28348411370135, "fos_buckling": 0.9674729726693697, "fos_yielding": 2.0939703237282146, "deflection": 0.006426563099549483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003644)" }, "parent_node_id": "node_2338", "improvement_over_parent": null }, "node_2340": { "node_id": "node_2340", "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 254.11 kg\n Factor of Safety: 0.97\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.10900280216072, "fos_buckling": 0.966448907902713, "fos_yielding": 2.093970323728214, "deflection": 0.006364589974297984, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.404)" }, "parent_node_id": "node_2339", "improvement_over_parent": null }, "node_2341": { "node_id": "node_2341", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 265.20 kg\n Factor of Safety: 1.36\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.2012732994633, "fos_buckling": 1.356759321341083, "fos_yielding": 1.9132171278305452, "deflection": 0.00588029005935462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003283)" }, "parent_node_id": "node_2340", "improvement_over_parent": null }, "node_2342": { "node_id": "node_2342", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.57969258987333, "fos_buckling": 1.5147648519931898, "fos_yielding": 2.188171551732285, "deflection": 0.005151924691255812, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_2341", "improvement_over_parent": null }, "node_2343": { "node_id": "node_2343", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2342", "improvement_over_parent": null }, "node_2344": { "node_id": "node_2344", "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 228.47 kg\n Factor of Safety: 0.94\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.4701219430481, "fos_buckling": 0.9357126863349318, "fos_yielding": 2.009776582721588, "deflection": 0.007635309965666193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2345": { "node_id": "node_2345", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 239.12 kg\n Factor of Safety: 0.94\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.11506563072484, "fos_buckling": 0.9448828790838045, "fos_yielding": 1.8384359484877117, "deflection": 0.007142505222903653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003140)" }, "parent_node_id": "node_2344", "improvement_over_parent": null }, "node_2346": { "node_id": "node_2346", "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 239.78 kg\n Factor of Safety: 0.94\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.77786823610964, "fos_buckling": 0.9448362821295763, "fos_yielding": 1.8409360094648215, "deflection": 0.007139823342831505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.312)" }, "parent_node_id": "node_2345", "improvement_over_parent": null }, "node_2347": { "node_id": "node_2347", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 254.14 kg\n Factor of Safety: 1.26\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.13868538027342, "fos_buckling": 1.2600997693020073, "fos_yielding": 1.8386936532165332, "deflection": 0.006178098352685961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003647)" }, "parent_node_id": "node_2346", "improvement_over_parent": null }, "node_2348": { "node_id": "node_2348", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 302.96 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.960590654538, "fos_buckling": 1.4753071176157349, "fos_yielding": 2.1894424133826824, "deflection": 0.005200711152499795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2347", "improvement_over_parent": null }, "node_2349": { "node_id": "node_2349", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2348", "improvement_over_parent": null }, "node_2350": { "node_id": "node_2350", "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 256.37 kg\n Factor of Safety: 0.99\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.37256041233445, "fos_buckling": 0.994926778899169, "fos_yielding": 2.16663965483064, "deflection": 0.006240815925632514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2351": { "node_id": "node_2351", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n\nPerformance:\n Mass: 267.85 kg\n Factor of Safety: 1.32\n Max Deflection: 5.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.850081007578, "fos_buckling": 1.317886422132893, "fos_yielding": 1.9760783690183388, "deflection": 0.00575464849533372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003407)" }, "parent_node_id": "node_2350", "improvement_over_parent": null }, "node_2352": { "node_id": "node_2352", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 296.17 kg\n Factor of Safety: 1.43\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.17146517662945, "fos_buckling": 1.433374954381333, "fos_yielding": 2.183284660172251, "deflection": 0.00521563640308547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2351", "improvement_over_parent": null }, "node_2353": { "node_id": "node_2353", "content": "MODIFICATION: Increase 12 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0077)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 308.17 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.1719769065729, "fos_buckling": 1.5222876102737044, "fos_yielding": 2.1792821060613408, "deflection": 0.005119358835152489, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.605)" }, "parent_node_id": "node_2352", "improvement_over_parent": null }, "node_2354": { "node_id": "node_2354", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2353", "improvement_over_parent": null }, "node_2355": { "node_id": "node_2355", "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 0.86\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.85305491747374, "fos_buckling": 0.8566454150977258, "fos_yielding": 1.3713281217236668, "deflection": 0.007731089881532161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2356": { "node_id": "node_2356", "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.78 kg\n Factor of Safety: 0.86\n Max Deflection: 7.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.77559920551744, "fos_buckling": 0.8566454150977258, "fos_yielding": 1.806107292098794, "deflection": 0.007731089881532161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.339)" }, "parent_node_id": "node_2355", "improvement_over_parent": null }, "node_2357": { "node_id": "node_2357", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.69 kg\n Factor of Safety: 0.93\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.68568990072055, "fos_buckling": 0.9313832824550053, "fos_yielding": 1.9967792984916732, "deflection": 0.007002412578804444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_2356", "improvement_over_parent": null }, "node_2358": { "node_id": "node_2358", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.88 kg\n Factor of Safety: 0.93\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.87625495947125, "fos_buckling": 0.9310286704219332, "fos_yielding": 1.9967792984916732, "deflection": 0.006885681902476682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.616)" }, "parent_node_id": "node_2357", "improvement_over_parent": null }, "node_2359": { "node_id": "node_2359", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.80 kg\n Factor of Safety: 1.08\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.7958783832609, "fos_buckling": 1.0780604067053232, "fos_yielding": 2.3961715873314327, "deflection": 0.00575599458536575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2358", "improvement_over_parent": null }, "node_2360": { "node_id": "node_2360", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 284.44 kg\n Factor of Safety: 1.08\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.4365421023868, "fos_buckling": 1.0772028239983886, "fos_yielding": 2.3961715873314327, "deflection": 0.005631413138952881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.178)" }, "parent_node_id": "node_2359", "improvement_over_parent": null }, "node_2361": { "node_id": "node_2361", "content": "MODIFICATION: Increase 8 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.48 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.4833783657967, "fos_buckling": 1.076874399987337, "fos_yielding": 2.3961715873314327, "deflection": 0.005575753089164605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.653)" }, "parent_node_id": "node_2360", "improvement_over_parent": null }, "node_2362": { "node_id": "node_2362", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.52 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5151450510264, "fos_buckling": 1.5144122002230127, "fos_yielding": 2.187211609701147, "deflection": 0.005152817362992729, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2361", "improvement_over_parent": null }, "node_2363": { "node_id": "node_2363", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2362", "improvement_over_parent": null }, "node_2364": { "node_id": "node_2364", "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 221.01 kg\n Factor of Safety: 0.46\n Max Deflection: 6.61e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.0051785542687, "fos_buckling": 0.4617237349586672, "fos_yielding": 1.84058277739591, "deflection": 6608916159281.849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2365": { "node_id": "node_2365", "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 229.96 kg\n Factor of Safety: 0.08\n Max Deflection: 5.32e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.95883376092033, "fos_buckling": 0.08252993031291521, "fos_yielding": 0.3966939823510843, "deflection": 53177362889041.33, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.637)" }, "parent_node_id": "node_2364", "improvement_over_parent": null }, "node_2366": { "node_id": "node_2366", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 247.08 kg\n Factor of Safety: 0.43\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.0767889924948, "fos_buckling": 0.42504240656744613, "fos_yielding": 1.8498428961085662, "deflection": 0.01301909834340959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2365", "improvement_over_parent": null }, "node_2367": { "node_id": "node_2367", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 270.30 kg\n Factor of Safety: 0.53\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.3003093736428, "fos_buckling": 0.5323752915595674, "fos_yielding": 1.8477000245235753, "deflection": 0.007595767555924028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2366", "improvement_over_parent": null }, "node_2368": { "node_id": "node_2368", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 270.92 kg\n Factor of Safety: 0.53\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.92171606363985, "fos_buckling": 0.5322787700850923, "fos_yielding": 1.847623665314107, "deflection": 0.007595933456503138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.250)" }, "parent_node_id": "node_2367", "improvement_over_parent": null }, "node_2369": { "node_id": "node_2369", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 276.50 kg\n Factor of Safety: 0.53\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.49591572861607, "fos_buckling": 0.5318462873356806, "fos_yielding": 1.8472812607189733, "deflection": 0.006683768259115533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2368", "improvement_over_parent": null }, "node_2370": { "node_id": "node_2370", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.29 kg\n Factor of Safety: 1.39\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.28654327103004, "fos_buckling": 1.391535539097768, "fos_yielding": 2.0427204627123956, "deflection": 0.005199132650299709, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2369", "improvement_over_parent": null }, "node_2371": { "node_id": "node_2371", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2370", "improvement_over_parent": null }, "node_2372": { "node_id": "node_2372", "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 229.15 kg\n Factor of Safety: 0.16\n Max Deflection: 4.67e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.149343628082, "fos_buckling": 0.1648667055683094, "fos_yielding": 0.9713382340791898, "deflection": 0.046654613259929686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2373": { "node_id": "node_2373", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 232.86 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.8570364563756, "fos_buckling": 0.4469642773370888, "fos_yielding": 1.1750000750908796, "deflection": 0.011243736886337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002143)" }, "parent_node_id": "node_2372", "improvement_over_parent": null }, "node_2374": { "node_id": "node_2374", "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 235.87 kg\n Factor of Safety: 0.45\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.8658578141859, "fos_buckling": 0.4469642773370888, "fos_yielding": 1.1832918923996845, "deflection": 0.011185323637345423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.359)" }, "parent_node_id": "node_2373", "improvement_over_parent": null }, "node_2375": { "node_id": "node_2375", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 238.35 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.35064927259037, "fos_buckling": 0.4468816140899636, "fos_yielding": 1.2855521216855572, "deflection": 0.010989198219129769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002067)" }, "parent_node_id": "node_2374", "improvement_over_parent": null }, "node_2376": { "node_id": "node_2376", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 269.10 kg\n Factor of Safety: 0.49\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.10261423793094, "fos_buckling": 0.4933260616000758, "fos_yielding": 1.4547399891452375, "deflection": 0.009748803984797267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_2375", "improvement_over_parent": null }, "node_2377": { "node_id": "node_2377", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0062)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.49 kg\n Factor of Safety: 1.44\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.48501169341006, "fos_buckling": 1.437262404817757, "fos_yielding": 2.502231723671678, "deflection": 0.005174021393849054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2376", "improvement_over_parent": null }, "node_2378": { "node_id": "node_2378", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2377", "improvement_over_parent": null }, "node_2379": { "node_id": "node_2379", "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2380": { "node_id": "node_2380", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 249.13 kg\n Factor of Safety: 0.36\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.13297376663962, "fos_buckling": 0.362085509214201, "fos_yielding": 1.5298440574719965, "deflection": 0.010864116787553406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2379", "improvement_over_parent": null }, "node_2381": { "node_id": "node_2381", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 254.33 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.33326220863563, "fos_buckling": 0.4930167967142453, "fos_yielding": 1.676427594476415, "deflection": 0.009934917058470301, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.479)" }, "parent_node_id": "node_2380", "improvement_over_parent": null }, "node_2382": { "node_id": "node_2382", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 267.02 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.0216334671242, "fos_buckling": 0.4927845565278337, "fos_yielding": 1.6760705226017105, "deflection": 0.009488083665344213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2381", "improvement_over_parent": null }, "node_2383": { "node_id": "node_2383", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.40403092260334, "fos_buckling": 1.5139971969466084, "fos_yielding": 2.1869451665963804, "deflection": 0.005154833138353618, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2382", "improvement_over_parent": null }, "node_2384": { "node_id": "node_2384", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2383", "improvement_over_parent": null }, "node_2385": { "node_id": "node_2385", "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 166.52 kg\n Factor of Safety: 0.62\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.5211274898773, "fos_buckling": 0.6165798265646266, "fos_yielding": 1.381579431553188, "deflection": 0.010719248049103645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2386": { "node_id": "node_2386", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 0.62\n Max Deflection: 8.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.44046450483165, "fos_buckling": 0.6160706685660563, "fos_yielding": 1.3814427719319868, "deflection": 0.008946574117339338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002722)" }, "parent_node_id": "node_2385", "improvement_over_parent": null }, "node_2387": { "node_id": "node_2387", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n\nPerformance:\n Mass: 190.40 kg\n Factor of Safety: 1.07\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.39613780915442, "fos_buckling": 1.0717224688508107, "fos_yielding": 1.3980523918834127, "deflection": 0.00825586512731825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002761)" }, "parent_node_id": "node_2386", "improvement_over_parent": null }, "node_2388": { "node_id": "node_2388", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 239.37 kg\n Factor of Safety: 1.31\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.36792512661145, "fos_buckling": 1.3081090044511074, "fos_yielding": 1.7552823440145087, "deflection": 0.006589769239287053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_2387", "improvement_over_parent": null }, "node_2389": { "node_id": "node_2389", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n\nPerformance:\n Mass: 243.21 kg\n Factor of Safety: 1.26\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.2109869680309, "fos_buckling": 1.2619339625813688, "fos_yielding": 1.7554030444670197, "deflection": 0.0064014112494435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.248)" }, "parent_node_id": "node_2388", "improvement_over_parent": null }, "node_2390": { "node_id": "node_2390", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.464005293559, "fos_buckling": 1.5143164731521, "fos_yielding": 2.1872798144459957, "deflection": 0.005153991389042315, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_2389", "improvement_over_parent": null }, "node_2391": { "node_id": "node_2391", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2390", "improvement_over_parent": null }, "node_2392": { "node_id": "node_2392", "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 181.30 kg\n Factor of Safety: 0.48\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.3038196625259, "fos_buckling": 0.4796880340916958, "fos_yielding": 1.188856761551535, "deflection": 11661756058630.406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2393": { "node_id": "node_2393", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n\nPerformance:\n Mass: 194.12 kg\n Factor of Safety: 0.57\n Max Deflection: 8.68e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.1189422208136, "fos_buckling": 0.5666431473635308, "fos_yielding": 1.7998461796633463, "deflection": 8679337414193.412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003227)" }, "parent_node_id": "node_2392", "improvement_over_parent": null }, "node_2394": { "node_id": "node_2394", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 209.33 kg\n Factor of Safety: 0.89\n Max Deflection: 8.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.32727938485, "fos_buckling": 0.887083485330965, "fos_yielding": 1.6716940816163803, "deflection": 0.008023116841690148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003274)" }, "parent_node_id": "node_2393", "improvement_over_parent": null }, "node_2395": { "node_id": "node_2395", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0043)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n\nPerformance:\n Mass: 211.39 kg\n Factor of Safety: 0.89\n Max Deflection: 7.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.39227915932236, "fos_buckling": 0.887083485330965, "fos_yielding": 1.892045102970518, "deflection": 0.007990061279421493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.284)" }, "parent_node_id": "node_2394", "improvement_over_parent": null }, "node_2396": { "node_id": "node_2396", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0043)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n Mass: 228.78 kg\n Factor of Safety: 1.19\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.7814993342729, "fos_buckling": 1.1904382816495205, "fos_yielding": 1.863538962358557, "deflection": 0.006808675862638222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003501)" }, "parent_node_id": "node_2395", "improvement_over_parent": null }, "node_2397": { "node_id": "node_2397", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0048)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 255.48 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.47831797737337, "fos_buckling": 1.3072206870371088, "fos_yielding": 2.0794830400779283, "deflection": 0.006109304566973505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2396", "improvement_over_parent": null }, "node_2398": { "node_id": "node_2398", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0059)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 305.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 305.4346170803435, "fos_buckling": 1.513547566301327, "fos_yielding": 2.4827469236665887, "deflection": 0.005129030685235062, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_2397", "improvement_over_parent": null }, "node_2399": { "node_id": "node_2399", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2398", "improvement_over_parent": null }, "node_2400": { "node_id": "node_2400", "content": "INITIAL DESIGN (Trace 344)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 215.44 kg\n Factor of Safety: 0.30\n Max Deflection: 9.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.44084014135916, "fos_buckling": 0.29779396089085564, "fos_yielding": 1.500736012384952, "deflection": 0.009441473542290902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2401": { "node_id": "node_2401", "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 219.26 kg\n Factor of Safety: 0.45\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.2588752779536, "fos_buckling": 0.44968458821218943, "fos_yielding": 1.5002586621827063, "deflection": 0.008386273487872445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.634)" }, "parent_node_id": "node_2400", "improvement_over_parent": null }, "node_2402": { "node_id": "node_2402", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 223.98 kg\n Factor of Safety: 0.45\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.97669250117403, "fos_buckling": 0.4492172537688855, "fos_yielding": 1.4999049508403413, "deflection": 0.008203250137199585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.309)" }, "parent_node_id": "node_2401", "improvement_over_parent": null }, "node_2403": { "node_id": "node_2403", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 244.88 kg\n Factor of Safety: 1.22\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.87607004461913, "fos_buckling": 1.2241664977444389, "fos_yielding": 1.7735064742704068, "deflection": 0.006393602169983418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004016)" }, "parent_node_id": "node_2402", "improvement_over_parent": null }, "node_2404": { "node_id": "node_2404", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 302.43 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.4310797587345, "fos_buckling": 1.479409286894148, "fos_yielding": 2.1873528935467315, "deflection": 0.0051986265089906366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2403", "improvement_over_parent": null }, "node_2405": { "node_id": "node_2405", "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.61 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.61272834654505, "fos_buckling": 1.5148673558042887, "fos_yielding": 2.1883017452814792, "deflection": 0.005151573284951466, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.295)" }, "parent_node_id": "node_2404", "improvement_over_parent": null }, "node_2406": { "node_id": "node_2406", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2405", "improvement_over_parent": null }, "node_2407": { "node_id": "node_2407", "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 127.04 kg\n Factor of Safety: 0.58\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.03904141581619, "fos_buckling": 0.584654056291855, "fos_yielding": 0.9870883341937764, "deflection": 0.012393693699349322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2408": { "node_id": "node_2408", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 162.70 kg\n Factor of Safety: 0.74\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.7022060766746, "fos_buckling": 0.7383617984846425, "fos_yielding": 1.2625046341107962, "deflection": 0.009700453647573966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2407", "improvement_over_parent": null }, "node_2409": { "node_id": "node_2409", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 202.72 kg\n Factor of Safety: 0.91\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.72472152082963, "fos_buckling": 0.9054756007248632, "fos_yielding": 1.570661710311572, "deflection": 0.007806268406510111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_2408", "improvement_over_parent": null }, "node_2410": { "node_id": "node_2410", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 256.18 kg\n Factor of Safety: 1.12\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.1790814005731, "fos_buckling": 1.1198499379618656, "fos_yielding": 1.9806540900774736, "deflection": 0.00619930918460597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_2409", "improvement_over_parent": null }, "node_2411": { "node_id": "node_2411", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 262.78 kg\n Factor of Safety: 1.15\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.77880187407914, "fos_buckling": 1.150301306945966, "fos_yielding": 1.9808444459457255, "deflection": 0.005885109260523784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.439)" }, "parent_node_id": "node_2410", "improvement_over_parent": null }, "node_2412": { "node_id": "node_2412", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.27\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.22720408758454, "fos_buckling": 1.2658369393361943, "fos_yielding": 2.2081833253451046, "deflection": 0.005286540639497208, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_2411", "improvement_over_parent": null }, "node_2413": { "node_id": "node_2413", "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.98 kg\n Factor of Safety: 1.43\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.97883727417303, "fos_buckling": 1.427820909541194, "fos_yielding": 2.184512747971439, "deflection": 0.00523601804820464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.658)" }, "parent_node_id": "node_2412", "improvement_over_parent": null }, "node_2414": { "node_id": "node_2414", "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.05 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.04926739478077, "fos_buckling": 1.5124588678816937, "fos_yielding": 2.184204536413195, "deflection": 0.005160637072952123, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.462)" }, "parent_node_id": "node_2413", "improvement_over_parent": null }, "node_2415": { "node_id": "node_2415", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2414", "improvement_over_parent": null }, "node_2416": { "node_id": "node_2416", "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 181.21 kg\n Factor of Safety: 0.64\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.2105919540976, "fos_buckling": 0.6388730412858286, "fos_yielding": 1.619625150277612, "deflection": 0.010350177561555932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2417": { "node_id": "node_2417", "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 185.95 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.94813723819198, "fos_buckling": 0.700816059220324, "fos_yielding": 1.620208372073888, "deflection": 0.010056622868670498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.362)" }, "parent_node_id": "node_2416", "improvement_over_parent": null }, "node_2418": { "node_id": "node_2418", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n\nPerformance:\n Mass: 198.35 kg\n Factor of Safety: 0.70\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.35378327805515, "fos_buckling": 0.6951013354761935, "fos_yielding": 1.6071380462075588, "deflection": 0.010063693049353575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003117)" }, "parent_node_id": "node_2417", "improvement_over_parent": null }, "node_2419": { "node_id": "node_2419", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 228.37 kg\n Factor of Safety: 0.79\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.37342657098134, "fos_buckling": 0.785248149413389, "fos_yielding": 1.8473758572927932, "deflection": 0.008756450590488874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2418", "improvement_over_parent": null }, "node_2420": { "node_id": "node_2420", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 273.78 kg\n Factor of Safety: 0.91\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.77869233141524, "fos_buckling": 0.9140789312442178, "fos_yielding": 2.2092281508931104, "deflection": 0.007323805298139081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2419", "improvement_over_parent": null }, "node_2421": { "node_id": "node_2421", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 291.81 kg\n Factor of Safety: 0.89\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.810459016645, "fos_buckling": 0.8858071695332064, "fos_yielding": 2.1328226677114834, "deflection": 0.006596248798156801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2420", "improvement_over_parent": null }, "node_2422": { "node_id": "node_2422", "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.76 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.7614506451417, "fos_buckling": 0.8892318019292176, "fos_yielding": 2.158666623999281, "deflection": 0.006520024747384739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.536)" }, "parent_node_id": "node_2421", "improvement_over_parent": null }, "node_2423": { "node_id": "node_2423", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3356503101179, "fos_buckling": 1.5138193763842367, "fos_yielding": 2.1863853812776908, "deflection": 0.005155967136039394, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2422", "improvement_over_parent": null }, "node_2424": { "node_id": "node_2424", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2423", "improvement_over_parent": null }, "node_2425": { "node_id": "node_2425", "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.25\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.79036508609565, "fos_buckling": 0.24849476893409075, "fos_yielding": 0.5944283807757675, "deflection": 14346301464090.463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2426": { "node_id": "node_2426", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 209.04 kg\n Factor of Safety: 0.23\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.04479443092478, "fos_buckling": 0.23083560108955808, "fos_yielding": 0.5944283807757675, "deflection": 14427052235339.727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2425", "improvement_over_parent": null }, "node_2427": { "node_id": "node_2427", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 232.27 kg\n Factor of Safety: 0.49\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.26831481207276, "fos_buckling": 0.4948068020898576, "fos_yielding": 1.4519654917944622, "deflection": 0.010639680396531804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2426", "improvement_over_parent": null }, "node_2428": { "node_id": "node_2428", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 252.58 kg\n Factor of Safety: 0.49\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.58164969409958, "fos_buckling": 0.49368651170745165, "fos_yielding": 1.2649966286343008, "deflection": 0.010418369491494491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2427", "improvement_over_parent": null }, "node_2429": { "node_id": "node_2429", "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 254.48 kg\n Factor of Safety: 0.49\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.47947156503912, "fos_buckling": 0.49354731252218015, "fos_yielding": 1.6774738885691616, "deflection": 0.009926853479132082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.565)" }, "parent_node_id": "node_2428", "improvement_over_parent": null }, "node_2430": { "node_id": "node_2430", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 267.17 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.1678428235277, "fos_buckling": 0.4933148247920405, "fos_yielding": 1.6771165962711412, "deflection": 0.009480396939706443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2429", "improvement_over_parent": null }, "node_2431": { "node_id": "node_2431", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5502402790068, "fos_buckling": 1.5143158127492147, "fos_yielding": 2.1883479025641526, "deflection": 0.005152223964480463, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2430", "improvement_over_parent": null }, "node_2432": { "node_id": "node_2432", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2431", "improvement_over_parent": null }, "node_2433": { "node_id": "node_2433", "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 191.89 kg\n Factor of Safety: 0.43\n Max Deflection: 5.55e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.89149211708775, "fos_buckling": 0.4328063860824653, "fos_yielding": 1.7825778741407372, "deflection": 5546194899555.784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2434": { "node_id": "node_2434", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 206.55 kg\n Factor of Safety: 0.32\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.5508032602718, "fos_buckling": 0.32239705598910284, "fos_yielding": 1.535716644655864, "deflection": 0.016940726276417517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003729)" }, "parent_node_id": "node_2433", "improvement_over_parent": null }, "node_2435": { "node_id": "node_2435", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 228.63 kg\n Factor of Safety: 0.32\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.63390816399072, "fos_buckling": 0.32213164052440124, "fos_yielding": 1.2230687493253185, "deflection": 0.0161403867674215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)" }, "parent_node_id": "node_2434", "improvement_over_parent": null }, "node_2436": { "node_id": "node_2436", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 233.41 kg\n Factor of Safety: 0.32\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.40660130202264, "fos_buckling": 0.32190254166327753, "fos_yielding": 1.2222617609697453, "deflection": 0.01329185299433476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002808)" }, "parent_node_id": "node_2435", "improvement_over_parent": null }, "node_2437": { "node_id": "node_2437", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 255.74 kg\n Factor of Safety: 1.22\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.74374725029907, "fos_buckling": 1.2198979838702877, "fos_yielding": 1.876608269682025, "deflection": 0.006062173899307609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004603)" }, "parent_node_id": "node_2436", "improvement_over_parent": null }, "node_2438": { "node_id": "node_2438", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.87 kg\n Factor of Safety: 1.40\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.87338645300144, "fos_buckling": 1.3997060435001214, "fos_yielding": 2.1904599430626095, "deflection": 0.005204314780596344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2437", "improvement_over_parent": null }, "node_2439": { "node_id": "node_2439", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0064)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 305.19 kg\n Factor of Safety: 1.41\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.1904321303789, "fos_buckling": 1.4095594155120137, "fos_yielding": 2.2069901989276812, "deflection": 0.005153332389925295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.277)" }, "parent_node_id": "node_2438", "improvement_over_parent": null }, "node_2440": { "node_id": "node_2440", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2439", "improvement_over_parent": null }, "node_2441": { "node_id": "node_2441", "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 199.61 kg\n Factor of Safety: 0.02\n Max Deflection: 2.07e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.608031649325, "fos_buckling": 0.02228414553188749, "fos_yielding": 0.11253192470481692, "deflection": 207181613237332.72, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2442": { "node_id": "node_2442", "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 204.60 kg\n Factor of Safety: 0.04\n Max Deflection: 1.02e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.6049524296284, "fos_buckling": 0.04456829106377498, "fos_yielding": 0.2588319530712999, "deflection": 101699161246829.73, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.565)" }, "parent_node_id": "node_2441", "improvement_over_parent": null }, "node_2443": { "node_id": "node_2443", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n Mass: 223.28 kg\n Factor of Safety: 0.75\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.2783212782933, "fos_buckling": 0.754472284236252, "fos_yielding": 1.7397572031373676, "deflection": 0.007042578186049597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003779)" }, "parent_node_id": "node_2442", "improvement_over_parent": null }, "node_2444": { "node_id": "node_2444", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 277.67 kg\n Factor of Safety: 0.91\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6745352707863, "fos_buckling": 0.9055869837377415, "fos_yielding": 2.1601706956527456, "deflection": 0.005684250239716657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_2443", "improvement_over_parent": null }, "node_2445": { "node_id": "node_2445", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 297.99 kg\n Factor of Safety: 1.43\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.9878701528131, "fos_buckling": 1.4279376366969383, "fos_yielding": 2.182840537759266, "deflection": 0.005329308091566253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2444", "improvement_over_parent": null }, "node_2446": { "node_id": "node_2446", "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 299.24 kg\n Factor of Safety: 1.41\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.2390953481017, "fos_buckling": 1.4117866413614764, "fos_yielding": 2.1838001315551927, "deflection": 0.0052817088482974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.318)" }, "parent_node_id": "node_2445", "improvement_over_parent": null }, "node_2447": { "node_id": "node_2447", "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.26 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.25522694169035, "fos_buckling": 1.5133944452987085, "fos_yielding": 2.1857850598770194, "deflection": 0.005157502972451178, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.200)" }, "parent_node_id": "node_2446", "improvement_over_parent": null }, "node_2448": { "node_id": "node_2448", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2447", "improvement_over_parent": null }, "node_2449": { "node_id": "node_2449", "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 223.12 kg\n Factor of Safety: 0.57\n Max Deflection: 5.10e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.121628398646, "fos_buckling": 0.5680560443124967, "fos_yielding": 1.743647776571371, "deflection": 5098677511697.577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2450": { "node_id": "node_2450", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 247.46 kg\n Factor of Safety: 0.76\n Max Deflection: 3.23e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.46275640402294, "fos_buckling": 0.7574080590833289, "fos_yielding": 2.3248637020951612, "deflection": 3234795475772.9727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2449", "improvement_over_parent": null }, "node_2451": { "node_id": "node_2451", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 250.27 kg\n Factor of Safety: 0.45\n Max Deflection: 5.19e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.26701238316346, "fos_buckling": 0.45444483544999736, "fos_yielding": 1.3949182212570967, "deflection": 5187296302264.447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2450", "improvement_over_parent": null }, "node_2452": { "node_id": "node_2452", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 270.58 kg\n Factor of Safety: 1.07\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.58034726519026, "fos_buckling": 1.0656049024121836, "fos_yielding": 2.2252059048523685, "deflection": 0.006325271766455364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2451", "improvement_over_parent": null }, "node_2453": { "node_id": "node_2453", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0059)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 276.80 kg\n Factor of Safety: 1.07\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.79967748969796, "fos_buckling": 1.0657718221851569, "fos_yielding": 2.2120668385476185, "deflection": 0.006303665549621466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.395)" }, "parent_node_id": "node_2452", "improvement_over_parent": null }, "node_2454": { "node_id": "node_2454", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0059)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 300.02 kg\n Factor of Safety: 1.25\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.02319787084593, "fos_buckling": 1.250040526836677, "fos_yielding": 2.1709160919411166, "deflection": 0.005404730013268175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2453", "improvement_over_parent": null }, "node_2455": { "node_id": "node_2455", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2454", "improvement_over_parent": null }, "node_2456": { "node_id": "node_2456", "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 142.02 kg\n Factor of Safety: 0.62\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.01672460068062, "fos_buckling": 0.623732855077531, "fos_yielding": 1.119620117388469, "deflection": 0.011571036984260194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2457": { "node_id": "node_2457", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 184.10 kg\n Factor of Safety: 0.79\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.10105439240132, "fos_buckling": 0.7852811053176079, "fos_yielding": 1.449665731118923, "deflection": 0.008957013021098364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2456", "improvement_over_parent": null }, "node_2458": { "node_id": "node_2458", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 200.53 kg\n Factor of Safety: 0.93\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.5342738171506, "fos_buckling": 0.9296907794836721, "fos_yielding": 1.442774965024189, "deflection": 0.007751092174696926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003210)" }, "parent_node_id": "node_2457", "improvement_over_parent": null }, "node_2459": { "node_id": "node_2459", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 245.62 kg\n Factor of Safety: 1.10\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.62296550318712, "fos_buckling": 1.1015827627755972, "fos_yielding": 1.7650157164191385, "deflection": 0.006350224006328881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2458", "improvement_over_parent": null }, "node_2460": { "node_id": "node_2460", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.12 kg\n Factor of Safety: 1.28\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.1208082516052, "fos_buckling": 1.2819129378659067, "fos_yielding": 2.132060787954192, "deflection": 0.005270353409092795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2459", "improvement_over_parent": null }, "node_2461": { "node_id": "node_2461", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.93 kg\n Factor of Safety: 1.51\n Max Deflection: 5.18e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.9250642307457, "fos_buckling": 1.5139260583427472, "fos_yielding": 2.199376986107337, "deflection": 0.005181407295042151, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2460", "improvement_over_parent": null }, "node_2462": { "node_id": "node_2462", "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0062)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 305.55 kg\n Factor of Safety: 1.53\n Max Deflection: 5.13e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 305.54967768972375, "fos_buckling": 1.5295459184362223, "fos_yielding": 2.1991530245208244, "deflection": 0.0051335098190167655, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.261)" }, "parent_node_id": "node_2461", "improvement_over_parent": null }, "node_2463": { "node_id": "node_2463", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2462", "improvement_over_parent": null }, "node_2464": { "node_id": "node_2464", "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 170.49 kg\n Factor of Safety: 0.32\n Max Deflection: 1.88e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.48682418939745, "fos_buckling": 0.3202960811624662, "fos_yielding": 0.7382240227309786, "deflection": 0.01882857966429251, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2465": { "node_id": "node_2465", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 0.60\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.09139138195542, "fos_buckling": 0.5955006470982575, "fos_yielding": 1.6175708979921744, "deflection": 0.00852375453694706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003567)" }, "parent_node_id": "node_2464", "improvement_over_parent": null }, "node_2466": { "node_id": "node_2466", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 200.26 kg\n Factor of Safety: 0.93\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.26119026496784, "fos_buckling": 0.9302479034337073, "fos_yielding": 1.4618665089694909, "deflection": 0.007700500237523387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002762)" }, "parent_node_id": "node_2465", "improvement_over_parent": null }, "node_2467": { "node_id": "node_2467", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n\nPerformance:\n Mass: 232.42 kg\n Factor of Safety: 1.06\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.4203109864857, "fos_buckling": 1.0629526371402689, "fos_yielding": 1.6951993967162313, "deflection": 0.006651750059642981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_2466", "improvement_over_parent": null }, "node_2468": { "node_id": "node_2468", "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0044)]\n\nPerformance:\n Mass: 237.13 kg\n Factor of Safety: 1.11\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.13168322463326, "fos_buckling": 1.1069938152546765, "fos_yielding": 1.683058079369874, "deflection": 0.006602201941283632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.368)" }, "parent_node_id": "node_2467", "improvement_over_parent": null }, "node_2469": { "node_id": "node_2469", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n\nPerformance:\n Mass: 302.71 kg\n Factor of Safety: 1.37\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.71235080977453, "fos_buckling": 1.3681526480438422, "fos_yielding": 2.1464764646709944, "deflection": 0.005195766205181329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2468", "improvement_over_parent": null }, "node_2470": { "node_id": "node_2470", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2469", "improvement_over_parent": null }, "node_2471": { "node_id": "node_2471", "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 168.68 kg\n Factor of Safety: 0.58\n Max Deflection: 8.57e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.68270010247483, "fos_buckling": 0.5785050063678618, "fos_yielding": 1.4653111736153435, "deflection": 8568433159197.211, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2472": { "node_id": "node_2472", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 210.29 kg\n Factor of Safety: 1.05\n Max Deflection: 8.52e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.28573795508643, "fos_buckling": 1.0504355125894467, "fos_yielding": 2.7650678199048446, "deflection": 8521273593408.461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2471", "improvement_over_parent": null }, "node_2473": { "node_id": "node_2473", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 214.15 kg\n Factor of Safety: 0.53\n Max Deflection: 8.54e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.1482416234097, "fos_buckling": 0.5252177562947233, "fos_yielding": 2.1779887334802486, "deflection": 8537999215586.185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.233)" }, "parent_node_id": "node_2472", "improvement_over_parent": null }, "node_2474": { "node_id": "node_2474", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 236.36 kg\n Factor of Safety: 0.79\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.35973202535016, "fos_buckling": 0.7929400481747134, "fos_yielding": 1.8425537215913244, "deflection": 0.007636748153934933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004575)" }, "parent_node_id": "node_2473", "improvement_over_parent": null }, "node_2475": { "node_id": "node_2475", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 241.11 kg\n Factor of Safety: 0.79\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.10570424473488, "fos_buckling": 0.7923712997932454, "fos_yielding": 1.8423955132129815, "deflection": 0.006555425997001774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002791)" }, "parent_node_id": "node_2474", "improvement_over_parent": null }, "node_2476": { "node_id": "node_2476", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 283.25 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.24781470541836, "fos_buckling": 0.9061784924244147, "fos_yielding": 2.162336374076874, "deflection": 0.005596362323013264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2475", "improvement_over_parent": null }, "node_2477": { "node_id": "node_2477", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5611495874452, "fos_buckling": 1.514854693422962, "fos_yielding": 2.1881971722388105, "deflection": 0.005152383028407851, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2476", "improvement_over_parent": null }, "node_2478": { "node_id": "node_2478", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2477", "improvement_over_parent": null }, "node_2479": { "node_id": "node_2479", "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 142.30 kg\n Factor of Safety: 0.25\n Max Deflection: 2.44e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.29845898391292, "fos_buckling": 0.25168294623865367, "fos_yielding": 0.5944283807757674, "deflection": 24444707342311.5, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2480": { "node_id": "node_2480", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n\nPerformance:\n Mass: 164.15 kg\n Factor of Safety: 0.71\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.1541184470795, "fos_buckling": 0.7087138530924268, "fos_yielding": 1.3066685921634518, "deflection": 0.010023736434835603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003469)" }, "parent_node_id": "node_2479", "improvement_over_parent": null }, "node_2481": { "node_id": "node_2481", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 0.83\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.93962086151018, "fos_buckling": 0.8273078004572787, "fos_yielding": 1.5583129291371431, "deflection": 0.008419748469173345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2480", "improvement_over_parent": null }, "node_2482": { "node_id": "node_2482", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n\nPerformance:\n Mass: 196.85 kg\n Factor of Safety: 0.83\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.84939439891653, "fos_buckling": 0.8271954655010121, "fos_yielding": 1.5586563820232613, "deflection": 0.008406646629983448, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.314)" }, "parent_node_id": "node_2481", "improvement_over_parent": null }, "node_2483": { "node_id": "node_2483", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 221.41 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.40532950925532, "fos_buckling": 0.9143510690200337, "fos_yielding": 1.7519542914087272, "deflection": 0.007489391708256491, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2482", "improvement_over_parent": null }, "node_2484": { "node_id": "node_2484", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 274.71 kg\n Factor of Safety: 1.09\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.71140121178894, "fos_buckling": 1.0915730683962883, "fos_yielding": 2.170696357636408, "deflection": 0.006062592541281785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2483", "improvement_over_parent": null }, "node_2485": { "node_id": "node_2485", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 279.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.14654084752215, "fos_buckling": 1.0913934961061293, "fos_yielding": 2.1903636383111325, "deflection": 0.006000446709911519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.355)" }, "parent_node_id": "node_2484", "improvement_over_parent": null }, "node_2486": { "node_id": "node_2486", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.48766885289905, "fos_buckling": 1.5141709012602094, "fos_yielding": 2.1875348058672994, "deflection": 0.005153586834156476, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2485", "improvement_over_parent": null }, "node_2487": { "node_id": "node_2487", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2486", "improvement_over_parent": null }, "node_2488": { "node_id": "node_2488", "content": "INITIAL DESIGN (Trace 355)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 183.62 kg\n Factor of Safety: 0.44\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.61893854648025, "fos_buckling": 0.4355469398202245, "fos_yielding": 1.4390345797214987, "deflection": 0.012624492928469486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2489": { "node_id": "node_2489", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 201.01 kg\n Factor of Safety: 0.43\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.00601277971313, "fos_buckling": 0.4347002506901505, "fos_yielding": 1.437771881606291, "deflection": 0.012465732285927967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003781)" }, "parent_node_id": "node_2488", "improvement_over_parent": null }, "node_2490": { "node_id": "node_2490", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 232.15 kg\n Factor of Safety: 0.47\n Max Deflection: 7.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.150412065694, "fos_buckling": 0.47008863168096593, "fos_yielding": 1.584077919123889, "deflection": 0.00779240029771359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005061)" }, "parent_node_id": "node_2489", "improvement_over_parent": null }, "node_2491": { "node_id": "node_2491", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.23 kg\n Factor of Safety: 1.26\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.228727610979, "fos_buckling": 1.258173166452513, "fos_yielding": 1.8466831128259327, "deflection": 0.006119586951579915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004261)" }, "parent_node_id": "node_2490", "improvement_over_parent": null }, "node_2492": { "node_id": "node_2492", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.11 kg\n Factor of Safety: 1.43\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.1089901922709, "fos_buckling": 1.4258224352409994, "fos_yielding": 2.1558960757282932, "deflection": 0.005253466927178718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2491", "improvement_over_parent": null }, "node_2493": { "node_id": "node_2493", "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.47 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4676985533647, "fos_buckling": 1.5143265341187557, "fos_yielding": 2.1873212998588, "deflection": 0.005153809603143857, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.592)" }, "parent_node_id": "node_2492", "improvement_over_parent": null }, "node_2494": { "node_id": "node_2494", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2493", "improvement_over_parent": null }, "node_2495": { "node_id": "node_2495", "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 188.04 kg\n Factor of Safety: 0.79\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.03758490196475, "fos_buckling": 0.7944622679481278, "fos_yielding": 0.9841579222936054, "deflection": 0.008258212045076842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2496": { "node_id": "node_2496", "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.97 kg\n Factor of Safety: 1.02\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.9741476451103, "fos_buckling": 1.0192368021796256, "fos_yielding": 1.37291019668672, "deflection": 0.008161900849255511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.435)" }, "parent_node_id": "node_2495", "improvement_over_parent": null }, "node_2497": { "node_id": "node_2497", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 240.25 kg\n Factor of Safety: 1.25\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.25269974543028, "fos_buckling": 1.24889126431179, "fos_yielding": 1.7342713416644706, "deflection": 0.006478690601792979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2496", "improvement_over_parent": null }, "node_2498": { "node_id": "node_2498", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.49774706183615, "fos_buckling": 1.5143983446426974, "fos_yielding": 2.1876483192760605, "deflection": 0.005153369357458981, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2497", "improvement_over_parent": null }, "node_2499": { "node_id": "node_2499", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2498", "improvement_over_parent": null }, "node_2500": { "node_id": "node_2500", "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 217.18 kg\n Factor of Safety: 0.49\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.1798076724917, "fos_buckling": 0.487142426394427, "fos_yielding": 1.6504646725272638, "deflection": 0.008661064371403604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2501": { "node_id": "node_2501", "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 220.07 kg\n Factor of Safety: 0.49\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.06834102567268, "fos_buckling": 0.48683266447949464, "fos_yielding": 1.6502265020252365, "deflection": 0.008541570488379812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.176)" }, "parent_node_id": "node_2500", "improvement_over_parent": null }, "node_2502": { "node_id": "node_2502", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 246.91 kg\n Factor of Safety: 0.53\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.9111601736123, "fos_buckling": 0.5336686256284416, "fos_yielding": 1.8494497472470457, "deflection": 0.007628760587797411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2501", "improvement_over_parent": null }, "node_2503": { "node_id": "node_2503", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 252.49 kg\n Factor of Safety: 0.53\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.48535983858852, "fos_buckling": 0.5332340551578824, "fos_yielding": 1.8491068320818467, "deflection": 0.007355661237100419, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2502", "improvement_over_parent": null }, "node_2504": { "node_id": "node_2504", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 276.83 kg\n Factor of Safety: 0.53\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.8264878439654, "fos_buckling": 0.5322876804190482, "fos_yielding": 1.8483585616851421, "deflection": 0.006818431658412611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2503", "improvement_over_parent": null }, "node_2505": { "node_id": "node_2505", "content": "MODIFICATION: Increase 8 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0070)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.55 kg\n Factor of Safety: 0.53\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.55018562297437, "fos_buckling": 0.5322876804190482, "fos_yielding": 2.4777186011044248, "deflection": 0.006560390158513967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.517)" }, "parent_node_id": "node_2504", "improvement_over_parent": null }, "node_2506": { "node_id": "node_2506", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0070)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 307.34 kg\n Factor of Safety: 1.47\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 307.34081316538834, "fos_buckling": 1.4670729605395898, "fos_yielding": 2.484750403454382, "deflection": 0.005111982201549108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2505", "improvement_over_parent": null }, "node_2507": { "node_id": "node_2507", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2506", "improvement_over_parent": null }, "node_2508": { "node_id": "node_2508", "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 240.84 kg\n Factor of Safety: 1.21\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.83710185729387, "fos_buckling": 1.213427490252269, "fos_yielding": 1.8089791977258507, "deflection": 0.006396886589700357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2509": { "node_id": "node_2509", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.05 kg\n Factor of Safety: 1.45\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.0489946879765, "fos_buckling": 1.4458035785771104, "fos_yielding": 2.204859055416912, "deflection": 0.005261392822256222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2508", "improvement_over_parent": null }, "node_2510": { "node_id": "node_2510", "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.90 kg\n Factor of Safety: 1.51\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.89716084300534, "fos_buckling": 1.5133329186982982, "fos_yielding": 2.204588438312766, "deflection": 0.005190559089496054, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.433)" }, "parent_node_id": "node_2509", "improvement_over_parent": null }, "node_2511": { "node_id": "node_2511", "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.46 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4645362802507, "fos_buckling": 1.5142839728351496, "fos_yielding": 2.187125830234753, "deflection": 0.005154058212769541, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.372)" }, "parent_node_id": "node_2510", "improvement_over_parent": null }, "node_2512": { "node_id": "node_2512", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2511", "improvement_over_parent": null }, "node_2513": { "node_id": "node_2513", "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 0.25\n Max Deflection: 2.72e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.818915923107, "fos_buckling": 0.24726256315439205, "fos_yielding": 1.3642333560727262, "deflection": 0.027201893970606933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2514": { "node_id": "node_2514", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 250.35 kg\n Factor of Safety: 0.41\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.3501387725237, "fos_buckling": 0.4097618661184956, "fos_yielding": 1.285823980933232, "deflection": 0.011840344024381421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002109)" }, "parent_node_id": "node_2513", "improvement_over_parent": null }, "node_2515": { "node_id": "node_2515", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.46 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.4579235650168, "fos_buckling": 0.44541897254976776, "fos_yielding": 1.4214631594718226, "deflection": 0.010709814377625002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2514", "improvement_over_parent": null }, "node_2516": { "node_id": "node_2516", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.54571584779296, "fos_buckling": 1.5146436995470642, "fos_yielding": 2.187943815545156, "deflection": 0.005152676063843717, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2515", "improvement_over_parent": null }, "node_2517": { "node_id": "node_2517", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2516", "improvement_over_parent": null }, "node_2518": { "node_id": "node_2518", "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 194.96 kg\n Factor of Safety: 0.93\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.96125456208568, "fos_buckling": 0.9273494847540602, "fos_yielding": 1.2932742825994068, "deflection": 0.007963606223586196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2519": { "node_id": "node_2519", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 236.78 kg\n Factor of Safety: 1.11\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.78286457319598, "fos_buckling": 1.1069220826146158, "fos_yielding": 1.5728392717289184, "deflection": 0.00657790618995849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2518", "improvement_over_parent": null }, "node_2520": { "node_id": "node_2520", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.41 kg\n Factor of Safety: 1.36\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.4090608951234, "fos_buckling": 1.3629421323557163, "fos_yielding": 1.9934305975744828, "deflection": 0.005226723383860096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_2519", "improvement_over_parent": null }, "node_2521": { "node_id": "node_2521", "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.17e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 301.3692901330402, "fos_buckling": 1.5111187251000417, "fos_yielding": 2.1939704027937164, "deflection": 0.005173080336234265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.285)" }, "parent_node_id": "node_2520", "improvement_over_parent": null }, "node_2522": { "node_id": "node_2522", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3070136261482, "fos_buckling": 1.5135780966762822, "fos_yielding": 2.1861866746705676, "deflection": 0.005156571595850418, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.198)" }, "parent_node_id": "node_2521", "improvement_over_parent": null }, "node_2523": { "node_id": "node_2523", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2522", "improvement_over_parent": null }, "node_2524": { "node_id": "node_2524", "content": "INITIAL DESIGN (Trace 361)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 221.69 kg\n Factor of Safety: 0.23\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.68996115025305, "fos_buckling": 0.2294450856732608, "fos_yielding": 0.5944283807757675, "deflection": 10525493670790.688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2525": { "node_id": "node_2525", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 258.07 kg\n Factor of Safety: 1.08\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.0723586057322, "fos_buckling": 1.0805870863782159, "fos_yielding": 2.395905482661271, "deflection": 0.008365201782926839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2524", "improvement_over_parent": null }, "node_2526": { "node_id": "node_2526", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 259.89 kg\n Factor of Safety: 1.08\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.8854944288148, "fos_buckling": 1.0800146526505143, "fos_yielding": 2.395905482661271, "deflection": 0.006513401349067999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001475)" }, "parent_node_id": "node_2525", "improvement_over_parent": null }, "node_2527": { "node_id": "node_2527", "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 275.98 kg\n Factor of Safety: 1.08\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.982259035416, "fos_buckling": 1.0787463204110985, "fos_yielding": 2.395905482661271, "deflection": 0.005975343577715116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.513)" }, "parent_node_id": "node_2526", "improvement_over_parent": null }, "node_2528": { "node_id": "node_2528", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.08\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.10021426699046, "fos_buckling": 1.0774007886106722, "fos_yielding": 2.395905482661271, "deflection": 0.005418759217377154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2527", "improvement_over_parent": null }, "node_2529": { "node_id": "node_2529", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 305.58 kg\n Factor of Safety: 1.08\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.58125196869145, "fos_buckling": 1.076421848886008, "fos_yielding": 2.395905482661271, "deflection": 0.005356713451938367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.600)" }, "parent_node_id": "node_2528", "improvement_over_parent": null }, "node_2530": { "node_id": "node_2530", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0091)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 323.61 kg\n Factor of Safety: 1.31\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 323.6130186539212, "fos_buckling": 1.3134492709416377, "fos_yielding": 2.1854006893118663, "deflection": 0.0049115370742238845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2529", "improvement_over_parent": null }, "node_2531": { "node_id": "node_2531", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2530", "improvement_over_parent": null }, "node_2532": { "node_id": "node_2532", "content": "INITIAL DESIGN (Trace 362)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 139.18 kg\n Factor of Safety: 0.25\n Max Deflection: 2.10e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.18259119329232, "fos_buckling": 0.24981089674551266, "fos_yielding": 0.734883590935862, "deflection": 0.021041747598926047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2533": { "node_id": "node_2533", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n\nPerformance:\n Mass: 152.50 kg\n Factor of Safety: 0.74\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.49845864227018, "fos_buckling": 0.7391661860753905, "fos_yielding": 1.119547834240139, "deflection": 0.010207312179488564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002659)" }, "parent_node_id": "node_2532", "improvement_over_parent": null }, "node_2534": { "node_id": "node_2534", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n\nPerformance:\n Mass: 178.45 kg\n Factor of Safety: 0.86\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.44972114620595, "fos_buckling": 0.8584582165180821, "fos_yielding": 1.3091604914493304, "deflection": 0.008739390784030892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_2533", "improvement_over_parent": null }, "node_2535": { "node_id": "node_2535", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n\nPerformance:\n Mass: 218.31 kg\n Factor of Safety: 1.04\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.30864729587282, "fos_buckling": 1.0379155373239772, "fos_yielding": 1.599869869011266, "deflection": 0.007164431191473942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2534", "improvement_over_parent": null }, "node_2536": { "node_id": "node_2536", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 270.22 kg\n Factor of Safety: 1.26\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.22231395448756, "fos_buckling": 1.2647145496163505, "fos_yielding": 1.9775478150763182, "deflection": 0.005809773920955191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2535", "improvement_over_parent": null }, "node_2537": { "node_id": "node_2537", "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n\nPerformance:\n Mass: 271.30 kg\n Factor of Safety: 1.28\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.2962743816065, "fos_buckling": 1.277835795692607, "fos_yielding": 1.9819958569908214, "deflection": 0.0058036625648995735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.481)" }, "parent_node_id": "node_2536", "improvement_over_parent": null }, "node_2538": { "node_id": "node_2538", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 299.95 kg\n Factor of Safety: 1.40\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.951370196732, "fos_buckling": 1.4003071305194248, "fos_yielding": 2.1897186074855015, "deflection": 0.005259796837885855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2537", "improvement_over_parent": null }, "node_2539": { "node_id": "node_2539", "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 302.79 kg\n Factor of Safety: 1.37\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.78719481248487, "fos_buckling": 1.3673587723865364, "fos_yielding": 2.1895628120865473, "deflection": 0.005226238420694459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.218)" }, "parent_node_id": "node_2538", "improvement_over_parent": null }, "node_2540": { "node_id": "node_2540", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2539", "improvement_over_parent": null }, "node_2541": { "node_id": "node_2541", "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 232.52 kg\n Factor of Safety: 0.47\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.5175653595104, "fos_buckling": 0.46995727245424956, "fos_yielding": 1.5842084282815296, "deflection": 0.007895915534116938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2542": { "node_id": "node_2542", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.60 kg\n Factor of Safety: 1.38\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.6006702632293, "fos_buckling": 1.3820436128488434, "fos_yielding": 1.8740933794164454, "deflection": 0.006234702236750994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)" }, "parent_node_id": "node_2541", "improvement_over_parent": null }, "node_2543": { "node_id": "node_2543", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 297.55 kg\n Factor of Safety: 1.57\n Max Deflection: 5.35e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 297.5513541490428, "fos_buckling": 1.5700208406793175, "fos_yielding": 2.187544776275205, "deflection": 0.0053504218370473205, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2542", "improvement_over_parent": null }, "node_2544": { "node_id": "node_2544", "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.53 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5333961466083, "fos_buckling": 1.5144414779432451, "fos_yielding": 2.1877256686640245, "deflection": 0.005152720537105775, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.335)" }, "parent_node_id": "node_2543", "improvement_over_parent": null }, "node_2545": { "node_id": "node_2545", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2544", "improvement_over_parent": null }, "node_2546": { "node_id": "node_2546", "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 219.76 kg\n Factor of Safety: 0.68\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.75888547410713, "fos_buckling": 0.6846957315434319, "fos_yielding": 1.637392721983368, "deflection": 0.007848696270969327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2547": { "node_id": "node_2547", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 278.64 kg\n Factor of Safety: 0.85\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.63598835954775, "fos_buckling": 0.852638963414669, "fos_yielding": 2.0908528078851814, "deflection": 0.006208540576120523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2546", "improvement_over_parent": null }, "node_2548": { "node_id": "node_2548", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.34\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.85950874069573, "fos_buckling": 1.34270373100041, "fos_yielding": 2.1868828921506993, "deflection": 0.005229691378333155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2547", "improvement_over_parent": null }, "node_2549": { "node_id": "node_2549", "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.61 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.61150312648834, "fos_buckling": 1.514940221139961, "fos_yielding": 2.1884670103003314, "deflection": 0.005151316335490294, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.502)" }, "parent_node_id": "node_2548", "improvement_over_parent": null }, "node_2550": { "node_id": "node_2550", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2549", "improvement_over_parent": null }, "node_2551": { "node_id": "node_2551", "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 182.16 kg\n Factor of Safety: 0.81\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.16323666077298, "fos_buckling": 0.8070902732681, "fos_yielding": 1.3539726638711718, "deflection": 0.008824181033734035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2552": { "node_id": "node_2552", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n\nPerformance:\n Mass: 199.12 kg\n Factor of Safety: 0.82\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.12118382629274, "fos_buckling": 0.8181527595259366, "fos_yielding": 1.1276126491692426, "deflection": 0.00778086514172941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003319)" }, "parent_node_id": "node_2551", "improvement_over_parent": null }, "node_2553": { "node_id": "node_2553", "content": "MODIFICATION: Increase 15 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0047)]\n\nPerformance:\n Mass: 205.74 kg\n Factor of Safety: 0.81\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.74466430210023, "fos_buckling": 0.8060183464133727, "fos_yielding": 1.1108884890944168, "deflection": 0.007692536728574766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.427)" }, "parent_node_id": "node_2552", "improvement_over_parent": null }, "node_2554": { "node_id": "node_2554", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0061)]\n\nPerformance:\n Mass: 261.51 kg\n Factor of Safety: 1.01\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.50702135116967, "fos_buckling": 1.0088506868005471, "fos_yielding": 1.419181436621613, "deflection": 0.0060729478783082295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2553", "improvement_over_parent": null }, "node_2555": { "node_id": "node_2555", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 295.27 kg\n Factor of Safety: 1.13\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.26746272736847, "fos_buckling": 1.1284062261617382, "fos_yielding": 1.60775757302965, "deflection": 0.00538952003990921, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_2554", "improvement_over_parent": null }, "node_2556": { "node_id": "node_2556", "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 301.84 kg\n Factor of Safety: 1.13\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.8377982675707, "fos_buckling": 1.128541218486833, "fos_yielding": 1.6079499106186674, "deflection": 0.005299261964242959, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.623)" }, "parent_node_id": "node_2555", "improvement_over_parent": null }, "node_2557": { "node_id": "node_2557", "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0070)]\n\nPerformance:\n Mass: 305.26 kg\n Factor of Safety: 1.28\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.2638402019429, "fos_buckling": 1.2847817870280478, "fos_yielding": 2.1582742850011307, "deflection": 0.005173074789289404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.616)" }, "parent_node_id": "node_2556", "improvement_over_parent": null }, "node_2558": { "node_id": "node_2558", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2557", "improvement_over_parent": null }, "node_2559": { "node_id": "node_2559", "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n\nPerformance:\n Mass: 169.82 kg\n Factor of Safety: 0.35\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.81897155489582, "fos_buckling": 0.3533079340861716, "fos_yielding": 1.1346761191250296, "deflection": 0.010828549077455153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2560": { "node_id": "node_2560", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 185.60 kg\n Factor of Safety: 1.00\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.59594693184664, "fos_buckling": 0.9984506439487774, "fos_yielding": 1.3413228361703775, "deflection": 0.008351654219902372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002977)" }, "parent_node_id": "node_2559", "improvement_over_parent": null }, "node_2561": { "node_id": "node_2561", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 220.93 kg\n Factor of Safety: 1.16\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.92953919427003, "fos_buckling": 1.1625838948539864, "fos_yielding": 1.5953951336078964, "deflection": 0.007034960294720501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_2560", "improvement_over_parent": null }, "node_2562": { "node_id": "node_2562", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.21 kg\n Factor of Safety: 1.37\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.2142202729512, "fos_buckling": 1.365242590255944, "fos_yielding": 1.9275938367737109, "deflection": 0.005836997752908455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_2561", "improvement_over_parent": null }, "node_2563": { "node_id": "node_2563", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 302.97 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.9710202853036, "fos_buckling": 1.51228954696252, "fos_yielding": 2.183751236072053, "deflection": 0.005162132124960599, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2562", "improvement_over_parent": null }, "node_2564": { "node_id": "node_2564", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2563", "improvement_over_parent": null }, "node_2565": { "node_id": "node_2565", "content": "INITIAL DESIGN (Trace 367)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0012)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 126.52 kg\n Factor of Safety: 0.72\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.51777873513122, "fos_buckling": 0.7243625300526261, "fos_yielding": 0.9450769563055507, "deflection": 0.01206768592440108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2566": { "node_id": "node_2566", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 0.88\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.51054779403037, "fos_buckling": 0.8843656110818433, "fos_yielding": 1.1755441631777552, "deflection": 0.009717259479570915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2565", "improvement_over_parent": null }, "node_2567": { "node_id": "node_2567", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 159.20 kg\n Factor of Safety: 0.88\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.1987801610138, "fos_buckling": 0.8841829645867538, "fos_yielding": 1.1821711997701327, "deflection": 0.009631244622944386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.221)" }, "parent_node_id": "node_2566", "improvement_over_parent": null }, "node_2568": { "node_id": "node_2568", "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 162.01 kg\n Factor of Safety: 0.88\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.01000435068096, "fos_buckling": 0.8843130376039089, "fos_yielding": 1.1714579073282445, "deflection": 0.009550316623671992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.431)" }, "parent_node_id": "node_2567", "improvement_over_parent": null }, "node_2569": { "node_id": "node_2569", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 181.09 kg\n Factor of Safety: 0.98\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.0944433351527, "fos_buckling": 0.9769473906262813, "fos_yielding": 1.308882470896483, "deflection": 0.008556385291893003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_2568", "improvement_over_parent": null }, "node_2570": { "node_id": "node_2570", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 235.70 kg\n Factor of Safety: 1.23\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.69581894917215, "fos_buckling": 1.2287504909805969, "fos_yielding": 1.7013991122745664, "deflection": 0.006601728389096769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_2569", "improvement_over_parent": null }, "node_2571": { "node_id": "node_2571", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.86 kg\n Factor of Safety: 1.36\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.85656605051946, "fos_buckling": 1.3552520473404235, "fos_yielding": 1.9106287794196202, "deflection": 0.005887955572965931, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2570", "improvement_over_parent": null }, "node_2572": { "node_id": "node_2572", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.67 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.6664439132352, "fos_buckling": 1.515063197363745, "fos_yielding": 2.188660429085459, "deflection": 0.005150630959043377, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2571", "improvement_over_parent": null }, "node_2573": { "node_id": "node_2573", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2572", "improvement_over_parent": null }, "node_2574": { "node_id": "node_2574", "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 165.08 kg\n Factor of Safety: 0.24\n Max Deflection: 9.10e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.0827458023512, "fos_buckling": 0.24058884621924614, "fos_yielding": 0.5944283807757674, "deflection": 9095524062878.564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2575": { "node_id": "node_2575", "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 167.38 kg\n Factor of Safety: 0.48\n Max Deflection: 8.47e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.3832535403018, "fos_buckling": 0.4811776924384923, "fos_yielding": 1.1888567615515349, "deflection": 8472749581145.785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.224)" }, "parent_node_id": "node_2574", "improvement_over_parent": null }, "node_2576": { "node_id": "node_2576", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 180.56 kg\n Factor of Safety: 0.48\n Max Deflection: 1.07e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.55656401400515, "fos_buckling": 0.4811776924384923, "fos_yielding": 1.1888567615515349, "deflection": 10734886437646.895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003005)" }, "parent_node_id": "node_2575", "improvement_over_parent": null }, "node_2577": { "node_id": "node_2577", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 0.30\n Max Deflection: 2.04e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.01675964200751, "fos_buckling": 0.2995608572665346, "fos_yielding": 1.2219295157002221, "deflection": 20398509508567.61, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_2576", "improvement_over_parent": null }, "node_2578": { "node_id": "node_2578", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 247.12 kg\n Factor of Safety: 0.46\n Max Deflection: 7.09e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.11803496613885, "fos_buckling": 0.4588881748215117, "fos_yielding": 1.188856761551535, "deflection": 7092923289895.384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2577", "improvement_over_parent": null }, "node_2579": { "node_id": "node_2579", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 264.24 kg\n Factor of Safety: 0.49\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.2359901977133, "fos_buckling": 0.49314487180605815, "fos_yielding": 1.6762668480312102, "deflection": 0.00962576419999366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2578", "improvement_over_parent": null }, "node_2580": { "node_id": "node_2580", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.6183876531924, "fos_buckling": 1.2302938576761369, "fos_yielding": 2.122103677143661, "deflection": 0.0052259620118659915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2579", "improvement_over_parent": null }, "node_2581": { "node_id": "node_2581", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.42264363233295, "fos_buckling": 1.5140835746527783, "fos_yielding": 2.1870109839424843, "deflection": 0.00515458705388572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2580", "improvement_over_parent": null }, "node_2582": { "node_id": "node_2582", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2581", "improvement_over_parent": null }, "node_2583": { "node_id": "node_2583", "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 222.78 kg\n Factor of Safety: 0.90\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.78369209469923, "fos_buckling": 0.8992692924238188, "fos_yielding": 1.5503498841158931, "deflection": 0.007301686337478317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2584": { "node_id": "node_2584", "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 223.99 kg\n Factor of Safety: 0.92\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.98933821385575, "fos_buckling": 0.916558102380726, "fos_yielding": 1.5372566186168575, "deflection": 0.007196248284404341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.416)" }, "parent_node_id": "node_2583", "improvement_over_parent": null }, "node_2585": { "node_id": "node_2585", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.73 kg\n Factor of Safety: 1.16\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.7258391909898, "fos_buckling": 1.1565832857691967, "fos_yielding": 1.9924851350059156, "deflection": 0.005585549401431309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_2584", "improvement_over_parent": null }, "node_2586": { "node_id": "node_2586", "content": "MODIFICATION: Increase 10 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.70 kg\n Factor of Safety: 1.41\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.6972200717573, "fos_buckling": 1.4119701410756842, "fos_yielding": 2.078062320122212, "deflection": 0.0051989634884067725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.538)" }, "parent_node_id": "node_2585", "improvement_over_parent": null }, "node_2587": { "node_id": "node_2587", "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3140837500136, "fos_buckling": 1.5136083392481705, "fos_yielding": 2.18627612259489, "deflection": 0.005156501962646207, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.225)" }, "parent_node_id": "node_2586", "improvement_over_parent": null }, "node_2588": { "node_id": "node_2588", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2587", "improvement_over_parent": null }, "node_2589": { "node_id": "node_2589", "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 233.39 kg\n Factor of Safety: 0.82\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.39364192778783, "fos_buckling": 0.8186830958000976, "fos_yielding": 1.879768883802531, "deflection": 0.0074970288306963305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2590": { "node_id": "node_2590", "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 237.61 kg\n Factor of Safety: 0.82\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.60522543739387, "fos_buckling": 0.8194780003721456, "fos_yielding": 1.8796565163359849, "deflection": 0.007499215671674851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.339)" }, "parent_node_id": "node_2589", "improvement_over_parent": null }, "node_2591": { "node_id": "node_2591", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n\nPerformance:\n Mass: 258.75 kg\n Factor of Safety: 0.79\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.7519221197588, "fos_buckling": 0.7907915580085753, "fos_yielding": 1.877470146720542, "deflection": 0.007486750040298952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004206)" }, "parent_node_id": "node_2590", "improvement_over_parent": null }, "node_2592": { "node_id": "node_2592", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 262.43 kg\n Factor of Safety: 1.27\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.4334917245803, "fos_buckling": 1.273031006001437, "fos_yielding": 1.9006686584325658, "deflection": 0.005978974989339538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002127)" }, "parent_node_id": "node_2591", "improvement_over_parent": null }, "node_2593": { "node_id": "node_2593", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 302.10 kg\n Factor of Safety: 1.44\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.1022993543838, "fos_buckling": 1.4448713301911862, "fos_yielding": 2.1859007038063516, "deflection": 0.005208811857119386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2592", "improvement_over_parent": null }, "node_2594": { "node_id": "node_2594", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 302.94 kg\n Factor of Safety: 1.46\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.9396285485517, "fos_buckling": 1.455770791386713, "fos_yielding": 2.18957841099893, "deflection": 0.005204793070603995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.340)" }, "parent_node_id": "node_2593", "improvement_over_parent": null }, "node_2595": { "node_id": "node_2595", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2594", "improvement_over_parent": null }, "node_2596": { "node_id": "node_2596", "content": "INITIAL DESIGN (Trace 371)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 145.56 kg\n Factor of Safety: 0.69\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.55758085095465, "fos_buckling": 0.6922061853476179, "fos_yielding": 1.281686795449341, "deflection": 0.01169564462740775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2597": { "node_id": "node_2597", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 180.97 kg\n Factor of Safety: 0.84\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.96810751662832, "fos_buckling": 0.8378033194255922, "fos_yielding": 1.5919971873996537, "deflection": 0.009430141069556223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_2596", "improvement_over_parent": null }, "node_2598": { "node_id": "node_2598", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 197.84 kg\n Factor of Safety: 0.84\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.83595401980668, "fos_buckling": 0.836221628378854, "fos_yielding": 1.5686645121746856, "deflection": 0.008361381694027625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003389)" }, "parent_node_id": "node_2597", "improvement_over_parent": null }, "node_2599": { "node_id": "node_2599", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 244.39 kg\n Factor of Safety: 1.00\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.3852568150665, "fos_buckling": 0.9989654656293289, "fos_yielding": 1.935394546641837, "deflection": 0.00679452184778349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2598", "improvement_over_parent": null }, "node_2600": { "node_id": "node_2600", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 266.22 kg\n Factor of Safety: 1.30\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.21677204176035, "fos_buckling": 1.3026779900180445, "fos_yielding": 1.9331039619452761, "deflection": 0.005850055834982505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004354)" }, "parent_node_id": "node_2599", "improvement_over_parent": null }, "node_2601": { "node_id": "node_2601", "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n\nPerformance:\n Mass: 272.04 kg\n Factor of Safety: 1.39\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.03996517518755, "fos_buckling": 1.385578864757112, "fos_yielding": 1.9620900262801961, "deflection": 0.005735663496384428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.605)" }, "parent_node_id": "node_2600", "improvement_over_parent": null }, "node_2602": { "node_id": "node_2602", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2344772887004, "fos_buckling": 1.5133525641775702, "fos_yielding": 2.185527788207648, "deflection": 0.005157841044053675, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2601", "improvement_over_parent": null }, "node_2603": { "node_id": "node_2603", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2602", "improvement_over_parent": null }, "node_2604": { "node_id": "node_2604", "content": "INITIAL DESIGN (Trace 372)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 157.92 kg\n Factor of Safety: 0.48\n Max Deflection: 1.37e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.91574643394097, "fos_buckling": 0.484590622118942, "fos_yielding": 1.1888567615515349, "deflection": 13717721391568.254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2605": { "node_id": "node_2605", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 173.93 kg\n Factor of Safety: 0.33\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.92673866892147, "fos_buckling": 0.3263750550208132, "fos_yielding": 0.7540628415666866, "deflection": 0.01792087228103089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003206)" }, "parent_node_id": "node_2604", "improvement_over_parent": null }, "node_2606": { "node_id": "node_2606", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 178.78 kg\n Factor of Safety: 0.33\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.77587259710424, "fos_buckling": 0.32625675318080455, "fos_yielding": 0.7537910152629965, "deflection": 0.017809417997739514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.431)" }, "parent_node_id": "node_2605", "improvement_over_parent": null }, "node_2607": { "node_id": "node_2607", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 191.21 kg\n Factor of Safety: 0.33\n Max Deflection: 1.54e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.20688449679005, "fos_buckling": 0.3261052420188419, "fos_yielding": 0.987538786936054, "deflection": 0.015420092086464918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002825)" }, "parent_node_id": "node_2606", "improvement_over_parent": null }, "node_2608": { "node_id": "node_2608", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n\nPerformance:\n Mass: 209.19 kg\n Factor of Safety: 1.11\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.19227983600913, "fos_buckling": 1.109010725758822, "fos_yielding": 1.5109721340892788, "deflection": 0.007423103603041368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003649)" }, "parent_node_id": "node_2607", "improvement_over_parent": null }, "node_2609": { "node_id": "node_2609", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 263.72 kg\n Factor of Safety: 1.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.71693201182, "fos_buckling": 1.3504673058434802, "fos_yielding": 1.9024312406020123, "deflection": 0.005912902867984681, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_2608", "improvement_over_parent": null }, "node_2610": { "node_id": "node_2610", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.0894072526696, "fos_buckling": 1.5128210009227334, "fos_yielding": 2.1845013679702934, "deflection": 0.005160224513106067, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2609", "improvement_over_parent": null }, "node_2611": { "node_id": "node_2611", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2610", "improvement_over_parent": null }, "node_2612": { "node_id": "node_2612", "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 246.81 kg\n Factor of Safety: 1.05\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.80872014620593, "fos_buckling": 1.0503915005398559, "fos_yielding": 1.7444438906595483, "deflection": 0.006339534820312829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2613": { "node_id": "node_2613", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.53 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.52766579887543, "fos_buckling": 1.2299424380101442, "fos_yielding": 2.121455335828885, "deflection": 0.005227509041453618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_2612", "improvement_over_parent": null }, "node_2614": { "node_id": "node_2614", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 302.28 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 302.27793766789813, "fos_buckling": 1.5125123082813092, "fos_yielding": 2.1787129017556204, "deflection": 0.005163971136552793, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001421)" }, "parent_node_id": "node_2613", "improvement_over_parent": null }, "node_2615": { "node_id": "node_2615", "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0076)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 308.22 kg\n Factor of Safety: 1.44\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 308.2219869080253, "fos_buckling": 1.4356774737605849, "fos_yielding": 2.482876074430423, "deflection": 0.005108701387186344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.661)" }, "parent_node_id": "node_2614", "improvement_over_parent": null }, "node_2616": { "node_id": "node_2616", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2615", "improvement_over_parent": null }, "node_2617": { "node_id": "node_2617", "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 227.52 kg\n Factor of Safety: 1.13\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.5244899968123, "fos_buckling": 1.1349184905281797, "fos_yielding": 1.7108420951187173, "deflection": 0.007062286710321269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2618": { "node_id": "node_2618", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 289.30 kg\n Factor of Safety: 1.39\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.30462988069297, "fos_buckling": 1.3928859249363932, "fos_yielding": 2.1708302420393997, "deflection": 0.005575846163669344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2617", "improvement_over_parent": null }, "node_2619": { "node_id": "node_2619", "content": "MODIFICATION: Increase 15 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.44\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.01243715007195, "fos_buckling": 1.438223006609766, "fos_yielding": 2.1877046888873752, "deflection": 0.005523146757062267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.245)" }, "parent_node_id": "node_2618", "improvement_over_parent": null }, "node_2620": { "node_id": "node_2620", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5950055412243, "fos_buckling": 1.5145231801224865, "fos_yielding": 2.188072525595551, "deflection": 0.005151612772479481, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.656)" }, "parent_node_id": "node_2619", "improvement_over_parent": null }, "node_2621": { "node_id": "node_2621", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2620", "improvement_over_parent": null }, "node_2622": { "node_id": "node_2622", "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 206.85 kg\n Factor of Safety: 0.64\n Max Deflection: 9.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.850368320137, "fos_buckling": 0.6448237927201692, "fos_yielding": 1.6768606211862422, "deflection": 0.009625259331273754, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2623": { "node_id": "node_2623", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 233.77 kg\n Factor of Safety: 0.72\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.7704627637162, "fos_buckling": 0.7213944142684288, "fos_yielding": 1.8925616446645488, "deflection": 0.00852565835223224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_2622", "improvement_over_parent": null }, "node_2624": { "node_id": "node_2624", "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 241.60 kg\n Factor of Safety: 0.72\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.596005958568, "fos_buckling": 0.7248960180992338, "fos_yielding": 1.8920365809284774, "deflection": 0.008518436153623854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.639)" }, "parent_node_id": "node_2623", "improvement_over_parent": null }, "node_2625": { "node_id": "node_2625", "content": "MODIFICATION: Increase 13 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 247.23 kg\n Factor of Safety: 0.72\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.22565107182473, "fos_buckling": 0.7235716084055884, "fos_yielding": 1.8653344786952448, "deflection": 0.00842749885157137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.610)" }, "parent_node_id": "node_2624", "improvement_over_parent": null }, "node_2626": { "node_id": "node_2626", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.68 kg\n Factor of Safety: 0.79\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.6791341803933, "fos_buckling": 0.7879725398849251, "fos_yielding": 1.87002758171515, "deflection": 0.007518179943104022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.538)" }, "parent_node_id": "node_2625", "improvement_over_parent": null }, "node_2627": { "node_id": "node_2627", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.79 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.7898156200218, "fos_buckling": 0.8892314606827139, "fos_yielding": 2.15916888925698, "deflection": 0.006520218261449242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2626", "improvement_over_parent": null }, "node_2628": { "node_id": "node_2628", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.364015284998, "fos_buckling": 1.5130789825701847, "fos_yielding": 2.1869064118191757, "deflection": 0.005155735619748409, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2627", "improvement_over_parent": null }, "node_2629": { "node_id": "node_2629", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2628", "improvement_over_parent": null }, "node_2630": { "node_id": "node_2630", "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.85 kg\n Factor of Safety: 0.50\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.8508662167326, "fos_buckling": 0.501693443201606, "fos_yielding": 1.1016034600294293, "deflection": 0.0109135351048535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2631": { "node_id": "node_2631", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n\nPerformance:\n Mass: 154.17 kg\n Factor of Safety: 0.85\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.17406817482438, "fos_buckling": 0.8455821177785111, "fos_yielding": 1.1150296403360944, "deflection": 0.010029595777042223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002175)" }, "parent_node_id": "node_2630", "improvement_over_parent": null }, "node_2632": { "node_id": "node_2632", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n\nPerformance:\n Mass: 188.23 kg\n Factor of Safety: 1.01\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.22938392969866, "fos_buckling": 1.010964306161965, "fos_yielding": 1.3602683437475909, "deflection": 0.00823648818290351, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2631", "improvement_over_parent": null }, "node_2633": { "node_id": "node_2633", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n\nPerformance:\n Mass: 209.31 kg\n Factor of Safety: 1.11\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.31289588999158, "fos_buckling": 1.1095230935681202, "fos_yielding": 1.5119035636471023, "deflection": 0.007418815019303075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2632", "improvement_over_parent": null }, "node_2634": { "node_id": "node_2634", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n\nPerformance:\n Mass: 269.93 kg\n Factor of Safety: 1.38\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.93217772306116, "fos_buckling": 1.3767076391709896, "fos_yielding": 1.9470729343401918, "deflection": 0.005779432318128444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2633", "improvement_over_parent": null }, "node_2635": { "node_id": "node_2635", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.10 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.09970275063495, "fos_buckling": 1.5128009861953378, "fos_yielding": 2.184664950913132, "deflection": 0.0051600010596125085, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2634", "improvement_over_parent": null }, "node_2636": { "node_id": "node_2636", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2635", "improvement_over_parent": null }, "node_2637": { "node_id": "node_2637", "content": "INITIAL DESIGN (Trace 377)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 0.25\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.9578584779533, "fos_buckling": 0.24914603103303232, "fos_yielding": 0.5944283807757675, "deflection": 13194513165457.352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2638": { "node_id": "node_2638", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 175.92 kg\n Factor of Safety: 0.40\n Max Deflection: 8.02e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.91896841046264, "fos_buckling": 0.3967236907056475, "fos_yielding": 1.16893792159295, "deflection": 8016782434113.422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_2637", "improvement_over_parent": null }, "node_2639": { "node_id": "node_2639", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 0.06\n Max Deflection: 5.98e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.10836446229547, "fos_buckling": 0.06162190045440388, "fos_yielding": 0.14860709519394188, "deflection": 59836337039657.83, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003328)" }, "parent_node_id": "node_2638", "improvement_over_parent": null }, "node_2640": { "node_id": "node_2640", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 207.00 kg\n Factor of Safety: 0.73\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.99815176452333, "fos_buckling": 0.7276769770449337, "fos_yielding": 1.6674971076356795, "deflection": 0.007801708792696522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003609)" }, "parent_node_id": "node_2639", "improvement_over_parent": null }, "node_2641": { "node_id": "node_2641", "content": "MODIFICATION: Increase 10 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 217.04 kg\n Factor of Safety: 0.73\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.0436750635759, "fos_buckling": 0.7271243975416537, "fos_yielding": 1.667345497406708, "deflection": 0.007615496098566159, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.600)" }, "parent_node_id": "node_2640", "improvement_over_parent": null }, "node_2642": { "node_id": "node_2642", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 281.57 kg\n Factor of Safety: 0.91\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.56912659523255, "fos_buckling": 0.9062882708680584, "fos_yielding": 2.162371650013005, "deflection": 0.0058844997918830935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2641", "improvement_over_parent": null }, "node_2643": { "node_id": "node_2643", "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 282.39 kg\n Factor of Safety: 0.91\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.38780559616293, "fos_buckling": 0.9064003999945207, "fos_yielding": 2.1715586625371586, "deflection": 0.005857099714011626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.332)" }, "parent_node_id": "node_2642", "improvement_over_parent": null }, "node_2644": { "node_id": "node_2644", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0079)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 302.70 kg\n Factor of Safety: 1.19\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.70114047818976, "fos_buckling": 1.1946417730191232, "fos_yielding": 2.1898286469723858, "deflection": 0.005504610322873998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2643", "improvement_over_parent": null }, "node_2645": { "node_id": "node_2645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2644", "improvement_over_parent": null }, "node_2646": { "node_id": "node_2646", "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n\nPerformance:\n Mass: 217.58 kg\n Factor of Safety: 1.41\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.5801089515916, "fos_buckling": 1.4050561910216495, "fos_yielding": 1.188856761551535, "deflection": 10268449601489.615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2647": { "node_id": "node_2647", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n\nPerformance:\n Mass: 245.03 kg\n Factor of Safety: 0.49\n Max Deflection: 9.25e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.03141144374882, "fos_buckling": 0.4900892899418753, "fos_yielding": 1.1888567615515349, "deflection": 9252187115146.234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2646", "improvement_over_parent": null }, "node_2648": { "node_id": "node_2648", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 263.06 kg\n Factor of Safety: 0.53\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.06317812897856, "fos_buckling": 0.533501927405698, "fos_yielding": 1.8495610306478991, "deflection": 0.006801234777501152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_2647", "improvement_over_parent": null }, "node_2649": { "node_id": "node_2649", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.85 kg\n Factor of Safety: 1.12\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.85380567139254, "fos_buckling": 1.1222670903131202, "fos_yielding": 2.1911606992157804, "deflection": 0.005522130824091087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2648", "improvement_over_parent": null }, "node_2650": { "node_id": "node_2650", "content": "MODIFICATION: Increase 13 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.00 kg\n Factor of Safety: 1.20\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.0003694022006, "fos_buckling": 1.198343977009747, "fos_yielding": 2.186037155819257, "deflection": 0.005401735948662944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.592)" }, "parent_node_id": "node_2649", "improvement_over_parent": null }, "node_2651": { "node_id": "node_2651", "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.10 kg\n Factor of Safety: 1.57\n Max Deflection: 5.29e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 299.10379923332044, "fos_buckling": 1.5657684616518748, "fos_yielding": 2.188206834987947, "deflection": 0.005290919440931877, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.664)" }, "parent_node_id": "node_2650", "improvement_over_parent": null }, "node_2652": { "node_id": "node_2652", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.58249692590266, "fos_buckling": 1.5147690540626932, "fos_yielding": 2.188329902669653, "deflection": 0.005151647652780366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.233)" }, "parent_node_id": "node_2651", "improvement_over_parent": null }, "node_2653": { "node_id": "node_2653", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2652", "improvement_over_parent": null }, "node_2654": { "node_id": "node_2654", "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 274.18 kg\n Factor of Safety: 0.83\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.1841289127747, "fos_buckling": 0.8315249313530251, "fos_yielding": 2.1388258202965393, "deflection": 0.007228009272265165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2655": { "node_id": "node_2655", "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 282.10 kg\n Factor of Safety: 0.83\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.1047222565697, "fos_buckling": 0.8260199031695609, "fos_yielding": 2.138282519473408, "deflection": 0.0072236825754365365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.529)" }, "parent_node_id": "node_2654", "improvement_over_parent": null }, "node_2656": { "node_id": "node_2656", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 287.68 kg\n Factor of Safety: 1.22\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.6789219215459, "fos_buckling": 1.220433911855419, "fos_yielding": 2.1681320683197236, "deflection": 0.0055345127810353745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2655", "improvement_over_parent": null }, "node_2657": { "node_id": "node_2657", "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 289.01 kg\n Factor of Safety: 1.23\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.0149765880464, "fos_buckling": 1.2333707864025756, "fos_yielding": 2.1688680443542423, "deflection": 0.005491849187643176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.271)" }, "parent_node_id": "node_2656", "improvement_over_parent": null }, "node_2658": { "node_id": "node_2658", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 293.52 kg\n Factor of Safety: 1.26\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.5218499316714, "fos_buckling": 1.2622855513770728, "fos_yielding": 2.168685664343603, "deflection": 0.005435111538142905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.208)" }, "parent_node_id": "node_2657", "improvement_over_parent": null }, "node_2659": { "node_id": "node_2659", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0071)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 298.59 kg\n Factor of Safety: 1.29\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.5893751991311, "fos_buckling": 1.2886359995441434, "fos_yielding": 2.1685056619304675, "deflection": 0.005385844091523804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.203)" }, "parent_node_id": "node_2658", "improvement_over_parent": null }, "node_2660": { "node_id": "node_2660", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2659", "improvement_over_parent": null }, "node_2661": { "node_id": "node_2661", "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 256.95 kg\n Factor of Safety: 1.14\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.9500394888834, "fos_buckling": 1.1365954826020912, "fos_yielding": 1.6137843842571507, "deflection": 0.006053769510872021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2662": { "node_id": "node_2662", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.45 kg\n Factor of Safety: 1.29\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.4461565957847, "fos_buckling": 1.2915434306317615, "fos_yielding": 1.9305254305494453, "deflection": 0.005972606753287511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.458)" }, "parent_node_id": "node_2661", "improvement_over_parent": null }, "node_2663": { "node_id": "node_2663", "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.56 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.56192519192626, "fos_buckling": 1.36675367855924, "fos_yielding": 1.930082223005424, "deflection": 0.005829509116977961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.658)" }, "parent_node_id": "node_2662", "improvement_over_parent": null }, "node_2664": { "node_id": "node_2664", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35987469736966, "fos_buckling": 1.5138884826288748, "fos_yielding": 2.1865295948570016, "deflection": 0.005155617159052186, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2663", "improvement_over_parent": null }, "node_2665": { "node_id": "node_2665", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2664", "improvement_over_parent": null }, "node_2666": { "node_id": "node_2666", "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 270.09 kg\n Factor of Safety: 0.53\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.0937155374994, "fos_buckling": 0.5323758538853625, "fos_yielding": 1.5066006052665681, "deflection": 0.007683009885533712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2667": { "node_id": "node_2667", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 287.96 kg\n Factor of Safety: 0.89\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.96031546287827, "fos_buckling": 0.8872279712928336, "fos_yielding": 1.7477756442120227, "deflection": 0.006645882457535238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003396)" }, "parent_node_id": "node_2666", "improvement_over_parent": null }, "node_2668": { "node_id": "node_2668", "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.88 kg\n Factor of Safety: 0.89\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.87717154658355, "fos_buckling": 0.8911307179038739, "fos_yielding": 1.772411930296222, "deflection": 0.0065567725277096735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.486)" }, "parent_node_id": "node_2667", "improvement_over_parent": null }, "node_2669": { "node_id": "node_2669", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8281300562694, "fos_buckling": 0.8894049720323634, "fos_yielding": 2.1580720218247156, "deflection": 0.006518627500523058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.248)" }, "parent_node_id": "node_2668", "improvement_over_parent": null }, "node_2670": { "node_id": "node_2670", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4023297212456, "fos_buckling": 1.514072413620237, "fos_yielding": 2.185783834224223, "deflection": 0.005154883775250293, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2669", "improvement_over_parent": null }, "node_2671": { "node_id": "node_2671", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2670", "improvement_over_parent": null }, "node_2672": { "node_id": "node_2672", "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0023)]\n\nPerformance:\n Mass: 116.65 kg\n Factor of Safety: 0.50\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.65159718429656, "fos_buckling": 0.5023320002812595, "fos_yielding": 1.1180005212582562, "deflection": 10797778247866.479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2673": { "node_id": "node_2673", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 131.82 kg\n Factor of Safety: 0.05\n Max Deflection: 1.02e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.82110387645812, "fos_buckling": 0.053444166530885906, "fos_yielding": 0.14860709519394186, "deflection": 101621555603550.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_2672", "improvement_over_parent": null }, "node_2674": { "node_id": "node_2674", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 134.14 kg\n Factor of Safety: 0.34\n Max Deflection: 2.02e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.1425446464688, "fos_buckling": 0.34458754521956425, "fos_yielding": 1.0261086767953629, "deflection": 20173114095007.24, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.208)" }, "parent_node_id": "node_2673", "improvement_over_parent": null }, "node_2675": { "node_id": "node_2675", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 162.92 kg\n Factor of Safety: 0.49\n Max Deflection: 1.08e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.92077956745422, "fos_buckling": 0.4876950186299755, "fos_yielding": 1.1888567615515349, "deflection": 10778480917307.236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_2674", "improvement_over_parent": null }, "node_2676": { "node_id": "node_2676", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 197.84 kg\n Factor of Safety: 0.71\n Max Deflection: 1.80e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.83562321249383, "fos_buckling": 0.7146237025040505, "fos_yielding": 0.5944283807757674, "deflection": 18036280153626.348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2675", "improvement_over_parent": null }, "node_2677": { "node_id": "node_2677", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 250.09 kg\n Factor of Safety: 0.46\n Max Deflection: 9.84e+12 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.09249288621635, "fos_buckling": 0.45883100734563625, "fos_yielding": 1.1888567615515349, "deflection": 9841721215214.738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_2676", "improvement_over_parent": null }, "node_2678": { "node_id": "node_2678", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 267.21 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.2104481177908, "fos_buckling": 0.4930360695103438, "fos_yielding": 1.6772555342817848, "deflection": 0.00948168494169786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2677", "improvement_over_parent": null }, "node_2679": { "node_id": "node_2679", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5928455732699, "fos_buckling": 1.5141780045673887, "fos_yielding": 2.18849123465079, "deflection": 0.0051518941441860725, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2678", "improvement_over_parent": null }, "node_2680": { "node_id": "node_2680", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2679", "improvement_over_parent": null }, "node_2681": { "node_id": "node_2681", "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 192.27 kg\n Factor of Safety: 0.67\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.27443377444112, "fos_buckling": 0.6720582243361926, "fos_yielding": 1.5204228523356413, "deflection": 0.008157369811585722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2682": { "node_id": "node_2682", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 194.23 kg\n Factor of Safety: 0.67\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.23480127538932, "fos_buckling": 0.6721578511854011, "fos_yielding": 1.5113085711984742, "deflection": 0.008105021638630788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.299)" }, "parent_node_id": "node_2681", "improvement_over_parent": null }, "node_2683": { "node_id": "node_2683", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 218.88 kg\n Factor of Safety: 0.75\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.87593123553265, "fos_buckling": 0.7455958672836852, "fos_yielding": 1.7018765625686723, "deflection": 0.0072045136897803605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_2682", "improvement_over_parent": null }, "node_2684": { "node_id": "node_2684", "content": "MODIFICATION: Increase 11 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 222.39 kg\n Factor of Safety: 0.75\n Max Deflection: 7.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.390758434234, "fos_buckling": 0.7453977873773019, "fos_yielding": 1.7018198113563783, "deflection": 0.007138103735778625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.239)" }, "parent_node_id": "node_2683", "improvement_over_parent": null }, "node_2685": { "node_id": "node_2685", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.57 kg\n Factor of Safety: 0.91\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.5690099158695, "fos_buckling": 0.9059207331180078, "fos_yielding": 2.144213643665927, "deflection": 0.005679399911769097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2684", "improvement_over_parent": null }, "node_2686": { "node_id": "node_2686", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.25 kg\n Factor of Safety: 0.91\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.2481048774022, "fos_buckling": 0.9056909621392029, "fos_yielding": 2.1441454876083257, "deflection": 0.005650607535113939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.473)" }, "parent_node_id": "node_2685", "improvement_over_parent": null }, "node_2687": { "node_id": "node_2687", "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.13 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.1285746501412, "fos_buckling": 0.905811432986701, "fos_yielding": 2.1612505695147894, "deflection": 0.005598722622720805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.502)" }, "parent_node_id": "node_2686", "improvement_over_parent": null }, "node_2688": { "node_id": "node_2688", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.44 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.44190953216804, "fos_buckling": 1.514160330477833, "fos_yielding": 2.1871119007631585, "deflection": 0.005154332149510781, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2687", "improvement_over_parent": null }, "node_2689": { "node_id": "node_2689", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2688", "improvement_over_parent": null }, "node_2690": { "node_id": "node_2690", "content": "INITIAL DESIGN (Trace 384)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 229.72 kg\n Factor of Safety: 0.98\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.7197136075051, "fos_buckling": 0.9770033114116754, "fos_yielding": 1.8965510260829248, "deflection": 0.007061601903577706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2691": { "node_id": "node_2691", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 263.55 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.55216292528877, "fos_buckling": 1.0922750099232938, "fos_yielding": 2.172887268506566, "deflection": 0.006172842267375291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2690", "improvement_over_parent": null }, "node_2692": { "node_id": "node_2692", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 287.89 kg\n Factor of Safety: 1.22\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.89329093066567, "fos_buckling": 1.224486713425057, "fos_yielding": 2.170528683822103, "deflection": 0.005334204472858423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2691", "improvement_over_parent": null }, "node_2693": { "node_id": "node_2693", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.83 kg\n Factor of Safety: 1.35\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.82788418241284, "fos_buckling": 1.3470246212591175, "fos_yielding": 2.1686533090586786, "deflection": 0.005287527580882262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.198)" }, "parent_node_id": "node_2692", "improvement_over_parent": null }, "node_2694": { "node_id": "node_2694", "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.60 kg\n Factor of Safety: 1.34\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.5962701689433, "fos_buckling": 1.3389935894130431, "fos_yielding": 2.1495018683469373, "deflection": 0.005243169546405716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.499)" }, "parent_node_id": "node_2693", "improvement_over_parent": null }, "node_2695": { "node_id": "node_2695", "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0062)]\n\nPerformance:\n Mass: 304.28 kg\n Factor of Safety: 1.33\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.2839702531331, "fos_buckling": 1.3338618896658063, "fos_yielding": 2.149264652242849, "deflection": 0.005194866730632958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.264)" }, "parent_node_id": "node_2694", "improvement_over_parent": null }, "node_2696": { "node_id": "node_2696", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2695", "improvement_over_parent": null }, "node_2697": { "node_id": "node_2697", "content": "INITIAL DESIGN (Trace 385)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 145.10 kg\n Factor of Safety: 0.69\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.09712507581654, "fos_buckling": 0.6854178440983488, "fos_yielding": 1.0907482316268016, "deflection": 0.01050404551570314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2698": { "node_id": "node_2698", "content": "MODIFICATION: Increase 15 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 149.00 kg\n Factor of Safety: 0.80\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.99622743620444, "fos_buckling": 0.8018750618114906, "fos_yielding": 1.106308861797801, "deflection": 0.010310616428550426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.447)" }, "parent_node_id": "node_2697", "improvement_over_parent": null }, "node_2699": { "node_id": "node_2699", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 171.00 kg\n Factor of Safety: 0.91\n Max Deflection: 9.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.99711624365392, "fos_buckling": 0.9077773359723581, "fos_yielding": 1.2688604543709376, "deflection": 0.008999406029133045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2698", "improvement_over_parent": null }, "node_2700": { "node_id": "node_2700", "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 175.49 kg\n Factor of Safety: 0.95\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.49429176703381, "fos_buckling": 0.9500306185315711, "fos_yielding": 1.2686483940100068, "deflection": 0.008825399218110555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.493)" }, "parent_node_id": "node_2699", "improvement_over_parent": null }, "node_2701": { "node_id": "node_2701", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 219.30 kg\n Factor of Safety: 1.16\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.30474727395438, "fos_buckling": 1.155230506674618, "fos_yielding": 1.5837682506666084, "deflection": 0.007086084281193242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2700", "improvement_over_parent": null }, "node_2702": { "node_id": "node_2702", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 273.04 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.0382557359094, "fos_buckling": 1.3897722981201055, "fos_yielding": 1.969402780830996, "deflection": 0.005714933794501945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_2701", "improvement_over_parent": null }, "node_2703": { "node_id": "node_2703", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.84 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.8425771458875, "fos_buckling": 1.5157858845945018, "fos_yielding": 2.1900531867236523, "deflection": 0.005147583952409105, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_2702", "improvement_over_parent": null }, "node_2704": { "node_id": "node_2704", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2703", "improvement_over_parent": null }, "node_2705": { "node_id": "node_2705", "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2706": { "node_id": "node_2706", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 0.71\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.8456060972786, "fos_buckling": 0.7149988368598682, "fos_yielding": 1.1649467014937753, "deflection": 0.007891303766617341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003016)" }, "parent_node_id": "node_2705", "improvement_over_parent": null }, "node_2707": { "node_id": "node_2707", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 229.82 kg\n Factor of Safety: 0.79\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.81962417080302, "fos_buckling": 0.7901363444107676, "fos_yielding": 1.310429880102895, "deflection": 0.007048328150020365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2706", "improvement_over_parent": null }, "node_2708": { "node_id": "node_2708", "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0041)]\n\nPerformance:\n Mass: 232.61 kg\n Factor of Safety: 0.79\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.60784092171144, "fos_buckling": 0.7898134873311742, "fos_yielding": 1.3101935558433608, "deflection": 0.007049620823704842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.206)" }, "parent_node_id": "node_2707", "improvement_over_parent": null }, "node_2709": { "node_id": "node_2709", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0041)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n\nPerformance:\n Mass: 243.04 kg\n Factor of Safety: 0.95\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.03892493865646, "fos_buckling": 0.945795760753261, "fos_yielding": 1.2025573174421018, "deflection": 0.0065177421751935714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003072)" }, "parent_node_id": "node_2708", "improvement_over_parent": null }, "node_2710": { "node_id": "node_2710", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 295.78 kg\n Factor of Safety: 1.13\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.7835261075347, "fos_buckling": 1.1341333809498702, "fos_yielding": 1.4705716253006809, "deflection": 0.005374051778175008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2709", "improvement_over_parent": null }, "node_2711": { "node_id": "node_2711", "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0092)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 312.71 kg\n Factor of Safety: 1.14\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 312.71410686781377, "fos_buckling": 1.1431443215450323, "fos_yielding": 1.4706302820143087, "deflection": 0.005072534583890375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.541)" }, "parent_node_id": "node_2710", "improvement_over_parent": null }, "node_2712": { "node_id": "node_2712", "content": "MODIFICATION: Increase 6 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0092)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0051)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 315.74 kg\n Factor of Safety: 1.14\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 315.7375031091991, "fos_buckling": 1.1436943716379107, "fos_yielding": 1.471337909483532, "deflection": 0.005023023087021114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.637)" }, "parent_node_id": "node_2711", "improvement_over_parent": null }, "node_2713": { "node_id": "node_2713", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2712", "improvement_over_parent": null }, "node_2714": { "node_id": "node_2714", "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 0.10\n Max Deflection: 2.46e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.36185357331857, "fos_buckling": 0.10086484479492036, "fos_yielding": 0.5916158927343997, "deflection": 24630344020729.234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2715": { "node_id": "node_2715", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 267.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.7442510287977, "fos_buckling": 1.0915273912218402, "fos_yielding": 2.1456072855628485, "deflection": 0.006247702774984886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2714", "improvement_over_parent": null }, "node_2716": { "node_id": "node_2716", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 270.55 kg\n Factor of Safety: 1.09\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.5485070079382, "fos_buckling": 1.091300320175567, "fos_yielding": 2.195967589588934, "deflection": 0.006183934703012958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2715", "improvement_over_parent": null }, "node_2717": { "node_id": "node_2717", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 272.32 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.3181133406716, "fos_buckling": 1.0912286939751794, "fos_yielding": 2.190281362872149, "deflection": 0.006170121110301874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.178)" }, "parent_node_id": "node_2716", "improvement_over_parent": null }, "node_2718": { "node_id": "node_2718", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 273.73 kg\n Factor of Safety: 1.09\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.73432014024655, "fos_buckling": 1.0912286939751794, "fos_yielding": 2.190281362872149, "deflection": 0.006170121110301874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.192)" }, "parent_node_id": "node_2717", "improvement_over_parent": null }, "node_2719": { "node_id": "node_2719", "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 293.46 kg\n Factor of Safety: 1.52\n Max Deflection: 5.55e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 293.4606447943122, "fos_buckling": 1.5161129336969397, "fos_yielding": 2.1899441235211414, "deflection": 0.0055524572444660735, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.637)" }, "parent_node_id": "node_2718", "improvement_over_parent": null }, "node_2720": { "node_id": "node_2720", "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 299.40 kg\n Factor of Safety: 1.47\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.402559553142, "fos_buckling": 1.4703629964964693, "fos_yielding": 2.21724081670137, "deflection": 0.005443654180558435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.534)" }, "parent_node_id": "node_2719", "improvement_over_parent": null }, "node_2721": { "node_id": "node_2721", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0098)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 316.52 kg\n Factor of Safety: 1.47\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 316.52051478471645, "fos_buckling": 1.4744632954793502, "fos_yielding": 2.215248189216435, "deflection": 0.004898504020014779, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2720", "improvement_over_parent": null }, "node_2722": { "node_id": "node_2722", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2721", "improvement_over_parent": null }, "node_2723": { "node_id": "node_2723", "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 131.24 kg\n Factor of Safety: 0.62\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.23984935694668, "fos_buckling": 0.617001032761383, "fos_yielding": 1.0938161333088376, "deflection": 0.012597920106429397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2724": { "node_id": "node_2724", "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 135.64 kg\n Factor of Safety: 0.62\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.6430827199502, "fos_buckling": 0.6172483191332069, "fos_yielding": 1.09368124912287, "deflection": 0.012266249963016262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.513)" }, "parent_node_id": "node_2723", "improvement_over_parent": null }, "node_2725": { "node_id": "node_2725", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 159.67 kg\n Factor of Safety: 0.72\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.672791104104, "fos_buckling": 0.7163124408801429, "fos_yielding": 1.286620081979921, "deflection": 0.010436410615566254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_2724", "improvement_over_parent": null }, "node_2726": { "node_id": "node_2726", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 192.45 kg\n Factor of Safety: 0.84\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.4499335391847, "fos_buckling": 0.8445333511322172, "fos_yielding": 1.5493956799416368, "deflection": 0.00867722469792846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2725", "improvement_over_parent": null }, "node_2727": { "node_id": "node_2727", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 208.60 kg\n Factor of Safety: 1.09\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.60181599329923, "fos_buckling": 1.0944982052310792, "fos_yielding": 1.523198173101, "deflection": 0.007428061675329623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003236)" }, "parent_node_id": "node_2726", "improvement_over_parent": null }, "node_2728": { "node_id": "node_2728", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 259.56 kg\n Factor of Safety: 1.32\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.56359329947657, "fos_buckling": 1.3183033074808244, "fos_yielding": 1.892808014383432, "deflection": 0.005993071285937538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2727", "improvement_over_parent": null }, "node_2729": { "node_id": "node_2729", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 262.36 kg\n Factor of Safety: 1.34\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.3629376505503, "fos_buckling": 1.3446767326395543, "fos_yielding": 1.892656247839986, "deflection": 0.0059430124187123306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.252)" }, "parent_node_id": "node_2728", "improvement_over_parent": null }, "node_2730": { "node_id": "node_2730", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2051902252409, "fos_buckling": 1.5132528692271088, "fos_yielding": 2.1852553468967097, "deflection": 0.005158477797748098, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2729", "improvement_over_parent": null }, "node_2731": { "node_id": "node_2731", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2730", "improvement_over_parent": null }, "node_2732": { "node_id": "node_2732", "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 206.25 kg\n Factor of Safety: 0.94\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.24862290896803, "fos_buckling": 0.9423114301516793, "fos_yielding": 1.1853775267247868, "deflection": 0.007530540430646644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2733": { "node_id": "node_2733", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 262.50 kg\n Factor of Safety: 1.17\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 262.50195505729636, "fos_buckling": 1.1726483495806477, "fos_yielding": 1.5126532918039008, "deflection": 0.005942062621646271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2732", "improvement_over_parent": null }, "node_2734": { "node_id": "node_2734", "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 264.47 kg\n Factor of Safety: 1.35\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.47476274081566, "fos_buckling": 1.3536421655937516, "fos_yielding": 1.907949010573026, "deflection": 0.005896213955494013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.294)" }, "parent_node_id": "node_2733", "improvement_over_parent": null }, "node_2735": { "node_id": "node_2735", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.24 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2351344934318, "fos_buckling": 1.5133519412042178, "fos_yielding": 2.18563899742849, "deflection": 0.005157727743040514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2734", "improvement_over_parent": null }, "node_2736": { "node_id": "node_2736", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2735", "improvement_over_parent": null }, "node_2737": { "node_id": "node_2737", "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 227.87 kg\n Factor of Safety: 0.41\n Max Deflection: 1.57e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.87015855400256, "fos_buckling": 0.41210724021088724, "fos_yielding": 1.21528585018071, "deflection": 0.0157201648912288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2738": { "node_id": "node_2738", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 251.22 kg\n Factor of Safety: 0.45\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.21795301378185, "fos_buckling": 0.4459131199682488, "fos_yielding": 1.341872871873398, "deflection": 0.014304351340564063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_2737", "improvement_over_parent": null }, "node_2739": { "node_id": "node_2739", "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 254.78 kg\n Factor of Safety: 0.45\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.78255546203061, "fos_buckling": 0.44591311996824895, "fos_yielding": 1.380048836708144, "deflection": 0.013440906598457538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.656)" }, "parent_node_id": "node_2738", "improvement_over_parent": null }, "node_2740": { "node_id": "node_2740", "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 260.15 kg\n Factor of Safety: 0.45\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.1520990838783, "fos_buckling": 0.4458240989368902, "fos_yielding": 1.4430889922372996, "deflection": 0.013298111844394148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.600)" }, "parent_node_id": "node_2739", "improvement_over_parent": null }, "node_2741": { "node_id": "node_2741", "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 263.19 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.18525985473065, "fos_buckling": 0.4457738282298489, "fos_yielding": 1.467638304426361, "deflection": 0.013247022615920593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.222)" }, "parent_node_id": "node_2740", "improvement_over_parent": null }, "node_2742": { "node_id": "node_2742", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 271.78 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.7832079160401, "fos_buckling": 0.4456313899846913, "fos_yielding": 1.422076085675427, "deflection": 0.01319494973764708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.548)" }, "parent_node_id": "node_2741", "improvement_over_parent": null }, "node_2743": { "node_id": "node_2743", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 297.87 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.87100019881626, "fos_buckling": 0.8894152632730608, "fos_yielding": 2.1592804856139156, "deflection": 0.006518136887843298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2742", "improvement_over_parent": null }, "node_2744": { "node_id": "node_2744", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4451998637925, "fos_buckling": 1.5141373002539695, "fos_yielding": 2.187016212149509, "deflection": 0.005154369703824556, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2743", "improvement_over_parent": null }, "node_2745": { "node_id": "node_2745", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2744", "improvement_over_parent": null }, "node_2746": { "node_id": "node_2746", "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.95 kg\n Factor of Safety: 1.13\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.95009308937063, "fos_buckling": 1.1258733799897551, "fos_yielding": 1.7015267173253334, "deflection": 0.0066732801946969185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2747": { "node_id": "node_2747", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 257.71 kg\n Factor of Safety: 1.24\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.7065510554696, "fos_buckling": 1.237223824640594, "fos_yielding": 1.88913647122301, "deflection": 0.0060180695062801055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2746", "improvement_over_parent": null }, "node_2748": { "node_id": "node_2748", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.82 kg\n Factor of Safety: 1.41\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.8180266316331, "fos_buckling": 1.409195850786728, "fos_yielding": 2.188024828980428, "deflection": 0.0052062950341809295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_2747", "improvement_over_parent": null }, "node_2749": { "node_id": "node_2749", "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2340586576936, "fos_buckling": 1.5133612208503175, "fos_yielding": 2.1856696917706135, "deflection": 0.005157718233131777, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.258)" }, "parent_node_id": "node_2748", "improvement_over_parent": null }, "node_2750": { "node_id": "node_2750", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2749", "improvement_over_parent": null }, "node_2751": { "node_id": "node_2751", "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 244.80 kg\n Factor of Safety: 1.07\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.80133482105853, "fos_buckling": 1.0675608141160118, "fos_yielding": 1.7997313078645376, "deflection": 0.00640618730218884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2752": { "node_id": "node_2752", "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 246.35 kg\n Factor of Safety: 1.22\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.35065564895436, "fos_buckling": 1.2155389316240073, "fos_yielding": 1.8011619074132186, "deflection": 0.006294406834216727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.550)" }, "parent_node_id": "node_2751", "improvement_over_parent": null }, "node_2753": { "node_id": "node_2753", "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 249.37 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.36530320420968, "fos_buckling": 1.2887478856270078, "fos_yielding": 1.7996212736970802, "deflection": 0.006246277330934944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.202)" }, "parent_node_id": "node_2752", "improvement_over_parent": null }, "node_2754": { "node_id": "node_2754", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4116391624869, "fos_buckling": 1.5140548574752422, "fos_yielding": 2.1869662152998335, "deflection": 0.005154795390577553, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2753", "improvement_over_parent": null }, "node_2755": { "node_id": "node_2755", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2754", "improvement_over_parent": null }, "node_2756": { "node_id": "node_2756", "content": "INITIAL DESIGN (Trace 393)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 0.79\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.85963243383776, "fos_buckling": 0.789866124050775, "fos_yielding": 0.9786159180304617, "deflection": 0.0078113271000946295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2757": { "node_id": "node_2757", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 200.96 kg\n Factor of Safety: 0.79\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.95991386975334, "fos_buckling": 0.7903525918483068, "fos_yielding": 0.9792186342576524, "deflection": 0.007708199057442047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.431)" }, "parent_node_id": "node_2756", "improvement_over_parent": null }, "node_2758": { "node_id": "node_2758", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 229.31 kg\n Factor of Safety: 0.89\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.31341280231834, "fos_buckling": 0.8945183248228341, "fos_yielding": 1.1200761099013914, "deflection": 0.00676959799594662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_2757", "improvement_over_parent": null }, "node_2759": { "node_id": "node_2759", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 294.44 kg\n Factor of Safety: 1.13\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.44074226552135, "fos_buckling": 1.1268286603426594, "fos_yielding": 1.4467738854376264, "deflection": 0.005298111217961221, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2758", "improvement_over_parent": null }, "node_2760": { "node_id": "node_2760", "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 298.06 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.0644983116014, "fos_buckling": 1.355636688086326, "fos_yielding": 2.1665790582284328, "deflection": 0.005215883789823118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.570)" }, "parent_node_id": "node_2759", "improvement_over_parent": null }, "node_2761": { "node_id": "node_2761", "content": "MODIFICATION: Increase 15 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.60243512275423, "fos_buckling": 1.5148486825492198, "fos_yielding": 2.187064802634803, "deflection": 0.005151607302948061, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.300)" }, "parent_node_id": "node_2760", "improvement_over_parent": null }, "node_2762": { "node_id": "node_2762", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2761", "improvement_over_parent": null }, "node_2763": { "node_id": "node_2763", "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 289.11 kg\n Factor of Safety: 0.68\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.11318557324057, "fos_buckling": 0.6811463768380864, "fos_yielding": 1.9444938744556763, "deflection": 0.007843364073920538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2764": { "node_id": "node_2764", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.05 kg\n Factor of Safety: 0.71\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.054271109285, "fos_buckling": 0.7108318764630408, "fos_yielding": 1.959836972968262, "deflection": 0.0073334741518833145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.332)" }, "parent_node_id": "node_2763", "improvement_over_parent": null }, "node_2765": { "node_id": "node_2765", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.63 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.62847077426125, "fos_buckling": 1.23022209805236, "fos_yielding": 2.1220430082072315, "deflection": 0.005225624472484352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2764", "improvement_over_parent": null }, "node_2766": { "node_id": "node_2766", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.43272675340177, "fos_buckling": 1.5139092880160372, "fos_yielding": 2.1869391022623343, "deflection": 0.0051542741187151145, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2765", "improvement_over_parent": null }, "node_2767": { "node_id": "node_2767", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2766", "improvement_over_parent": null }, "node_2768": { "node_id": "node_2768", "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 168.75 kg\n Factor of Safety: 0.57\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.75353121805148, "fos_buckling": 0.5718287763850807, "fos_yielding": 1.5219166712201555, "deflection": 0.010419764297432039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2769": { "node_id": "node_2769", "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 173.32 kg\n Factor of Safety: 0.57\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.31791972687193, "fos_buckling": 0.57163354083092, "fos_yielding": 1.5213970537105745, "deflection": 0.010329984621022798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.403)" }, "parent_node_id": "node_2768", "improvement_over_parent": null }, "node_2770": { "node_id": "node_2770", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 189.13 kg\n Factor of Safety: 0.79\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.13138742972808, "fos_buckling": 0.7856249459115172, "fos_yielding": 1.6316143696727352, "deflection": 0.008740472850410333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003164)" }, "parent_node_id": "node_2769", "improvement_over_parent": null }, "node_2771": { "node_id": "node_2771", "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n Mass: 195.13 kg\n Factor of Safety: 0.78\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.13252304247797, "fos_buckling": 0.7845826042644298, "fos_yielding": 1.631614369672735, "deflection": 0.008215711939314287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.541)" }, "parent_node_id": "node_2770", "improvement_over_parent": null }, "node_2772": { "node_id": "node_2772", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 226.07 kg\n Factor of Safety: 0.89\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.07136249587916, "fos_buckling": 0.8883699630506158, "fos_yielding": 1.8897099323827007, "deflection": 0.007110201872049919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2771", "improvement_over_parent": null }, "node_2773": { "node_id": "node_2773", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 229.32 kg\n Factor of Safety: 0.89\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.31650603441676, "fos_buckling": 0.8881584599810284, "fos_yielding": 1.8897099323827007, "deflection": 0.007038165889628504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.339)" }, "parent_node_id": "node_2772", "improvement_over_parent": null }, "node_2774": { "node_id": "node_2774", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 239.32 kg\n Factor of Safety: 1.24\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.3240009496322, "fos_buckling": 1.2448345217146346, "fos_yielding": 1.7273410017307589, "deflection": 0.006503437175702974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002938)" }, "parent_node_id": "node_2773", "improvement_over_parent": null }, "node_2775": { "node_id": "node_2775", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41815311010487, "fos_buckling": 1.5141289208777857, "fos_yielding": 2.1867536367648874, "deflection": 0.0051547415167342596, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2774", "improvement_over_parent": null }, "node_2776": { "node_id": "node_2776", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2775", "improvement_over_parent": null }, "node_2777": { "node_id": "node_2777", "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 207.74 kg\n Factor of Safety: 0.06\n Max Deflection: 9.80e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.73832072400057, "fos_buckling": 0.05739520547662868, "fos_yielding": 0.14860709519394186, "deflection": 97959201329941.81, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2778": { "node_id": "node_2778", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 233.83 kg\n Factor of Safety: 0.43\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.82611300677672, "fos_buckling": 0.42519176606943093, "fos_yielding": 1.8100193035671748, "deflection": 0.013972465217579293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2777", "improvement_over_parent": null }, "node_2779": { "node_id": "node_2779", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 238.52 kg\n Factor of Safety: 0.43\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.51890630137035, "fos_buckling": 0.4250432917268529, "fos_yielding": 1.8507953060144333, "deflection": 0.013258555718577888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.247)" }, "parent_node_id": "node_2778", "improvement_over_parent": null }, "node_2780": { "node_id": "node_2780", "content": "MODIFICATION: Increase 1 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 248.83 kg\n Factor of Safety: 0.43\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.829909516323, "fos_buckling": 0.4250432917268529, "fos_yielding": 1.8498422996536448, "deflection": 0.013055623005142108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.667)" }, "parent_node_id": "node_2779", "improvement_over_parent": null }, "node_2781": { "node_id": "node_2781", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 272.05 kg\n Factor of Safety: 0.53\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.053429897471, "fos_buckling": 0.5323745392549769, "fos_yielding": 1.8476994294497284, "deflection": 0.007587988529907878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2780", "improvement_over_parent": null }, "node_2782": { "node_id": "node_2782", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6276295624472, "fos_buckling": 0.531941900927664, "fos_yielding": 1.8473569967751589, "deflection": 0.006703358443794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2781", "improvement_over_parent": null }, "node_2783": { "node_id": "node_2783", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4182571048612, "fos_buckling": 1.5141934313746226, "fos_yielding": 2.186930967564917, "deflection": 0.005154557681932558, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2782", "improvement_over_parent": null }, "node_2784": { "node_id": "node_2784", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2783", "improvement_over_parent": null }, "node_2785": { "node_id": "node_2785", "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 193.81 kg\n Factor of Safety: 0.93\n Max Deflection: 6.07e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.80974318865978, "fos_buckling": 0.9291578554302631, "fos_yielding": 1.777188964205126, "deflection": 6067094172117.492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2786": { "node_id": "node_2786", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 230.19 kg\n Factor of Safety: 0.46\n Max Deflection: 8.98e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.19214064413893, "fos_buckling": 0.4588901713465216, "fos_yielding": 1.188856761551535, "deflection": 8984817607976.262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2785", "improvement_over_parent": null }, "node_2787": { "node_id": "node_2787", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 256.28 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.2799329269151, "fos_buckling": 0.5344784623913833, "fos_yielding": 1.8493585745299619, "deflection": 0.006696840756560145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2786", "improvement_over_parent": null }, "node_2788": { "node_id": "node_2788", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.07 kg\n Factor of Safety: 0.91\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.07056046932905, "fos_buckling": 0.905604162143978, "fos_yielding": 2.13958291691112, "deflection": 0.005664531766362425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2787", "improvement_over_parent": null }, "node_2789": { "node_id": "node_2789", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 287.83 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.83156905934806, "fos_buckling": 0.9056041621439784, "fos_yielding": 2.4575115222874193, "deflection": 0.005600585556654265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.639)" }, "parent_node_id": "node_2788", "improvement_over_parent": null }, "node_2790": { "node_id": "node_2790", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 308.14 kg\n Factor of Safety: 1.44\n Max Deflection: 5.11e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 308.1449039413749, "fos_buckling": 1.4401602306283083, "fos_yielding": 2.483558338795777, "deflection": 0.0051081836014200315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2789", "improvement_over_parent": null }, "node_2791": { "node_id": "node_2791", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2790", "improvement_over_parent": null }, "node_2792": { "node_id": "node_2792", "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 195.87 kg\n Factor of Safety: 0.01\n Max Deflection: 2.31e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.8661832254945, "fos_buckling": 0.013237799189434454, "fos_yielding": 0.05751821179362219, "deflection": 230677444503796.12, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2793": { "node_id": "node_2793", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 227.04 kg\n Factor of Safety: 0.47\n Max Deflection: 8.48e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.0447081739095, "fos_buckling": 0.47363194047524376, "fos_yielding": 1.8610354008088124, "deflection": 8484589862570.366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005067)" }, "parent_node_id": "node_2792", "improvement_over_parent": null }, "node_2794": { "node_id": "node_2794", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 264.87 kg\n Factor of Safety: 0.72\n Max Deflection: 6.86e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.87013561273875, "fos_buckling": 0.7239043087417295, "fos_yielding": 2.317079058661768, "deflection": 6861719011427.1875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2793", "improvement_over_parent": null }, "node_2795": { "node_id": "node_2795", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 277.56 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.55850687122734, "fos_buckling": 0.5318768856743843, "fos_yielding": 1.8469016007030978, "deflection": 0.0067052391428379715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2794", "improvement_over_parent": null }, "node_2796": { "node_id": "node_2796", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3491344136413, "fos_buckling": 1.5137758573315618, "fos_yielding": 2.1864098568158923, "deflection": 0.0051558829577653936, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2795", "improvement_over_parent": null }, "node_2797": { "node_id": "node_2797", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2796", "improvement_over_parent": null }, "node_2798": { "node_id": "node_2798", "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2799": { "node_id": "node_2799", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n\nPerformance:\n Mass: 214.60 kg\n Factor of Safety: 0.28\n Max Deflection: 1.47e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.60250237644073, "fos_buckling": 0.27643693808049424, "fos_yielding": 1.3689796858654955, "deflection": 14728505197953.426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003960)" }, "parent_node_id": "node_2798", "improvement_over_parent": null }, "node_2800": { "node_id": "node_2800", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 237.06 kg\n Factor of Safety: 0.17\n Max Deflection: 7.21e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.05971801254248, "fos_buckling": 0.17219340994297425, "fos_yielding": 0.2069371292318695, "deflection": 72115408694986.92, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_2799", "improvement_over_parent": null }, "node_2801": { "node_id": "node_2801", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 261.40 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.4008460179194, "fos_buckling": 0.30112264961085833, "fos_yielding": 0.9148809705455894, "deflection": 0.023735395706095768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2800", "improvement_over_parent": null }, "node_2802": { "node_id": "node_2802", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 266.98 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.9750456828956, "fos_buckling": 0.49299455701081424, "fos_yielding": 1.675651975956286, "deflection": 0.009488078070045399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2801", "improvement_over_parent": null }, "node_2803": { "node_id": "node_2803", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3574431383747, "fos_buckling": 1.5140824059898736, "fos_yielding": 2.1863946404508474, "deflection": 0.005155636874533909, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2802", "improvement_over_parent": null }, "node_2804": { "node_id": "node_2804", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2803", "improvement_over_parent": null }, "node_2805": { "node_id": "node_2805", "content": "INITIAL DESIGN (Trace 400)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 255.76 kg\n Factor of Safety: 1.28\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.75864529966918, "fos_buckling": 1.2828296297459827, "fos_yielding": 1.9199371176618512, "deflection": 0.006315889012190652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2806": { "node_id": "node_2806", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 264.42 kg\n Factor of Safety: 1.28\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.42197353064125, "fos_buckling": 1.2847182183466572, "fos_yielding": 1.9202199790889904, "deflection": 0.005890502339183154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.664)" }, "parent_node_id": "node_2805", "improvement_over_parent": null }, "node_2807": { "node_id": "node_2807", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.72 kg\n Factor of Safety: 1.41\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.71739975141116, "fos_buckling": 1.4086550743822337, "fos_yielding": 2.1530544242228427, "deflection": 0.0052622154232312346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2806", "improvement_over_parent": null }, "node_2808": { "node_id": "node_2808", "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.45 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4515057398839, "fos_buckling": 1.514050789319567, "fos_yielding": 2.1870986080130086, "deflection": 0.005154076326927949, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.647)" }, "parent_node_id": "node_2807", "improvement_over_parent": null }, "node_2809": { "node_id": "node_2809", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2808", "improvement_over_parent": null }, "node_2810": { "node_id": "node_2810", "content": "INITIAL DESIGN (Trace 401)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 239.45 kg\n Factor of Safety: 0.77\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.45230798826992, "fos_buckling": 0.7700728971135578, "fos_yielding": 1.1742136489189827, "deflection": 0.007949631538688676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2811": { "node_id": "node_2811", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 244.10 kg\n Factor of Safety: 0.95\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.10375943653105, "fos_buckling": 0.9456311914615162, "fos_yielding": 1.1883364209075056, "deflection": 0.006341134966041066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002731)" }, "parent_node_id": "node_2810", "improvement_over_parent": null }, "node_2812": { "node_id": "node_2812", "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 260.63 kg\n Factor of Safety: 0.95\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.63474073486054, "fos_buckling": 0.9456878351113384, "fos_yielding": 1.1884076026882089, "deflection": 0.005945168387362224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.618)" }, "parent_node_id": "node_2811", "improvement_over_parent": null }, "node_2813": { "node_id": "node_2813", "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 263.73 kg\n Factor of Safety: 0.94\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.73036215803404, "fos_buckling": 0.9398753484826591, "fos_yielding": 1.1811032861435928, "deflection": 0.005911432589609521, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.445)" }, "parent_node_id": "node_2812", "improvement_over_parent": null }, "node_2814": { "node_id": "node_2814", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0097)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 315.54 kg\n Factor of Safety: 1.11\n Max Deflection: 4.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 315.5371681112376, "fos_buckling": 1.1115420738901332, "fos_yielding": 1.4226977473396298, "deflection": 0.004957567852438578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2813", "improvement_over_parent": null }, "node_2815": { "node_id": "node_2815", "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0097)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 318.79 kg\n Factor of Safety: 1.11\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 318.79479536866444, "fos_buckling": 1.1114564179402928, "fos_yielding": 1.4225881135886935, "deflection": 0.004927522790549707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.258)" }, "parent_node_id": "node_2814", "improvement_over_parent": null }, "node_2816": { "node_id": "node_2816", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2815", "improvement_over_parent": null }, "node_2817": { "node_id": "node_2817", "content": "INITIAL DESIGN (Trace 402)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 214.49 kg\n Factor of Safety: 1.15\n Max Deflection: 1.18e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.49398542964695, "fos_buckling": 1.1543909065812736, "fos_yielding": 1.7129066229350278, "deflection": 11763149368744.389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2818": { "node_id": "node_2818", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n\nPerformance:\n Mass: 237.33 kg\n Factor of Safety: 0.94\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.3325024590438, "fos_buckling": 0.939727948642235, "fos_yielding": 1.9496278374546325, "deflection": 0.007286994284936827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004715)" }, "parent_node_id": "node_2817", "improvement_over_parent": null }, "node_2819": { "node_id": "node_2819", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n Mass: 257.67 kg\n Factor of Safety: 1.31\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.6657739713595, "fos_buckling": 1.3073885844872943, "fos_yielding": 1.9159404878206654, "deflection": 0.006265373307022486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004143)" }, "parent_node_id": "node_2818", "improvement_over_parent": null }, "node_2820": { "node_id": "node_2820", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 294.33 kg\n Factor of Safety: 1.46\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.3317887640245, "fos_buckling": 1.4584447062983799, "fos_yielding": 2.186135197514961, "deflection": 0.005497285161725262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2819", "improvement_over_parent": null }, "node_2821": { "node_id": "node_2821", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.339601010847, "fos_buckling": 1.5139126253746527, "fos_yielding": 2.186468893654592, "deflection": 0.005156094089120122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.597)" }, "parent_node_id": "node_2820", "improvement_over_parent": null }, "node_2822": { "node_id": "node_2822", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2821", "improvement_over_parent": null }, "node_2823": { "node_id": "node_2823", "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 254.00 kg\n Factor of Safety: 0.96\n Max Deflection: 4.18e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.9990112725161, "fos_buckling": 0.9609575967614017, "fos_yielding": 1.5238514843647193, "deflection": 4180655705871.858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2824": { "node_id": "node_2824", "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 257.02 kg\n Factor of Safety: 0.96\n Max Deflection: 4.18e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.01762095912983, "fos_buckling": 0.9609575967614017, "fos_yielding": 2.105884268766121, "deflection": 4180655705871.858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.437)" }, "parent_node_id": "node_2823", "improvement_over_parent": null }, "node_2825": { "node_id": "node_2825", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 277.33 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.33095584115665, "fos_buckling": 0.4452531584952499, "fos_yielding": 1.4209783672511467, "deflection": 0.01071456961936132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_2824", "improvement_over_parent": null }, "node_2826": { "node_id": "node_2826", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4187481239328, "fos_buckling": 1.5140715868569954, "fos_yielding": 2.1874524459004796, "deflection": 0.005154662227307768, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2825", "improvement_over_parent": null }, "node_2827": { "node_id": "node_2827", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2826", "improvement_over_parent": null }, "node_2828": { "node_id": "node_2828", "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 225.82 kg\n Factor of Safety: 0.23\n Max Deflection: 1.91e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.81571074605952, "fos_buckling": 0.23343501547210832, "fos_yielding": 0.5944283807757674, "deflection": 19052486953241.137, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2829": { "node_id": "node_2829", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 249.86 kg\n Factor of Safety: 0.06\n Max Deflection: 9.31e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.85760390681506, "fos_buckling": 0.05736367682640795, "fos_yielding": 0.14860709519394186, "deflection": 93122222697574.83, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_2828", "improvement_over_parent": null }, "node_2830": { "node_id": "node_2830", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 266.98 kg\n Factor of Safety: 0.49\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.97555913838954, "fos_buckling": 0.4930445145065042, "fos_yielding": 1.6756831353296486, "deflection": 0.009488444232586218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2829", "improvement_over_parent": null }, "node_2831": { "node_id": "node_2831", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.35795659386866, "fos_buckling": 1.5140496729403685, "fos_yielding": 2.1864339139651072, "deflection": 0.005155632867729197, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_2830", "improvement_over_parent": null }, "node_2832": { "node_id": "node_2832", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2831", "improvement_over_parent": null }, "node_2833": { "node_id": "node_2833", "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 171.75 kg\n Factor of Safety: 0.38\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.74566618952733, "fos_buckling": 0.38029045421834873, "fos_yielding": 1.2293358282075595, "deflection": 0.014785981595332539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2834": { "node_id": "node_2834", "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 176.30 kg\n Factor of Safety: 0.38\n Max Deflection: 1.46e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.3034555656965, "fos_buckling": 0.3800962493161248, "fos_yielding": 1.2290526986068253, "deflection": 0.014570234843993833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.335)" }, "parent_node_id": "node_2833", "improvement_over_parent": null }, "node_2835": { "node_id": "node_2835", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 207.77 kg\n Factor of Safety: 0.44\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.76887460973862, "fos_buckling": 0.436818531756186, "fos_yielding": 1.44632628906216, "deflection": 0.012394881004268266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2834", "improvement_over_parent": null }, "node_2836": { "node_id": "node_2836", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n\nPerformance:\n Mass: 239.11 kg\n Factor of Safety: 0.47\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.10656506005478, "fos_buckling": 0.47204819075297094, "fos_yielding": 1.5933614676718764, "deflection": 0.007750604758370793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005095)" }, "parent_node_id": "node_2835", "improvement_over_parent": null }, "node_2837": { "node_id": "node_2837", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 257.36 kg\n Factor of Safety: 1.23\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.358597610464, "fos_buckling": 1.2303569051531211, "fos_yielding": 1.8711331567816496, "deflection": 0.006025709746652292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003474)" }, "parent_node_id": "node_2836", "improvement_over_parent": null }, "node_2838": { "node_id": "node_2838", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 298.65 kg\n Factor of Safety: 1.40\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.652841806565, "fos_buckling": 1.3953011334279888, "fos_yielding": 2.1690656497157845, "deflection": 0.0052092953225243085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_2837", "improvement_over_parent": null }, "node_2839": { "node_id": "node_2839", "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1972841326386, "fos_buckling": 1.5132731710570237, "fos_yielding": 2.185300405064303, "deflection": 0.005158370938755338, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.235)" }, "parent_node_id": "node_2838", "improvement_over_parent": null }, "node_2840": { "node_id": "node_2840", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2839", "improvement_over_parent": null }, "node_2841": { "node_id": "node_2841", "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2842": { "node_id": "node_2842", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n\nPerformance:\n Mass: 216.61 kg\n Factor of Safety: 0.88\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.6114018393077, "fos_buckling": 0.8818892197487483, "fos_yielding": 1.680307629632794, "deflection": 0.00782354487567675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003708)" }, "parent_node_id": "node_2841", "improvement_over_parent": null }, "node_2843": { "node_id": "node_2843", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n\nPerformance:\n Mass: 229.84 kg\n Factor of Safety: 1.04\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.84146204978742, "fos_buckling": 1.0376382206356707, "fos_yielding": 1.677711806481182, "deflection": 0.006820676685462054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003339)" }, "parent_node_id": "node_2842", "improvement_over_parent": null }, "node_2844": { "node_id": "node_2844", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 1.14\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.16848349779633, "fos_buckling": 1.1439634867555035, "fos_yielding": 1.8613636191441314, "deflection": 0.006154809130668573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_2843", "improvement_over_parent": null }, "node_2845": { "node_id": "node_2845", "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 258.65 kg\n Factor of Safety: 1.14\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.65318547068955, "fos_buckling": 1.139541033585673, "fos_yielding": 1.8762858874222574, "deflection": 0.006091283120599409, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.312)" }, "parent_node_id": "node_2844", "improvement_over_parent": null }, "node_2846": { "node_id": "node_2846", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 301.76 kg\n Factor of Safety: 1.31\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.75921161642145, "fos_buckling": 1.3139412484804747, "fos_yielding": 2.1867152965364354, "deflection": 0.005236948678020308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2845", "improvement_over_parent": null }, "node_2847": { "node_id": "node_2847", "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0037)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.09 kg\n Factor of Safety: 1.33\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.0917994748643, "fos_buckling": 1.3286392484634995, "fos_yielding": 2.1921541424278597, "deflection": 0.005230711986003009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.553)" }, "parent_node_id": "node_2846", "improvement_over_parent": null }, "node_2848": { "node_id": "node_2848", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2847", "improvement_over_parent": null }, "node_2849": { "node_id": "node_2849", "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 267.75 kg\n Factor of Safety: 1.09\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.7473248779066, "fos_buckling": 1.0921647264092993, "fos_yielding": 2.169393881493496, "deflection": 0.006125772386776581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2850": { "node_id": "node_2850", "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 273.81 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.80965548022806, "fos_buckling": 1.0919189930623703, "fos_yielding": 2.192534396322411, "deflection": 0.006052361291768861, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.337)" }, "parent_node_id": "node_2849", "improvement_over_parent": null }, "node_2851": { "node_id": "node_2851", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 298.15 kg\n Factor of Safety: 1.37\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.15078348560496, "fos_buckling": 1.373997380124594, "fos_yielding": 2.189889283960142, "deflection": 0.005214596636895487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2850", "improvement_over_parent": null }, "node_2852": { "node_id": "node_2852", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0056)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.37\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.27458638946354, "fos_buckling": 1.3677823476006685, "fos_yielding": 2.176611874091168, "deflection": 0.005187850374711606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.323)" }, "parent_node_id": "node_2851", "improvement_over_parent": null }, "node_2853": { "node_id": "node_2853", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2852", "improvement_over_parent": null }, "node_2854": { "node_id": "node_2854", "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2855": { "node_id": "node_2855", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 194.88 kg\n Factor of Safety: 0.41\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.8778479387221, "fos_buckling": 0.41348743633548923, "fos_yielding": 1.3461966255605462, "deflection": 0.00930891951669807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002750)" }, "parent_node_id": "node_2854", "improvement_over_parent": null }, "node_2856": { "node_id": "node_2856", "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 198.93 kg\n Factor of Safety: 0.41\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.92829921619432, "fos_buckling": 0.4136122208947037, "fos_yielding": 1.3462877718792328, "deflection": 0.009309005292972404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.295)" }, "parent_node_id": "node_2855", "improvement_over_parent": null }, "node_2857": { "node_id": "node_2857", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 229.04 kg\n Factor of Safety: 0.47\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.0394756323772, "fos_buckling": 0.46602906949535816, "fos_yielding": 1.5485800994976613, "deflection": 0.008101237916180897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2856", "improvement_over_parent": null }, "node_2858": { "node_id": "node_2858", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 245.98 kg\n Factor of Safety: 1.00\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.98348558544308, "fos_buckling": 0.9973026689534528, "fos_yielding": 1.7591800519013507, "deflection": 0.006513445778252904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003677)" }, "parent_node_id": "node_2857", "improvement_over_parent": null }, "node_2859": { "node_id": "node_2859", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 248.32 kg\n Factor of Safety: 1.14\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.32241711120497, "fos_buckling": 1.1435281251728318, "fos_yielding": 1.824035554364411, "deflection": 0.006383196323365005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001936)" }, "parent_node_id": "node_2858", "improvement_over_parent": null }, "node_2860": { "node_id": "node_2860", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 253.12 kg\n Factor of Safety: 1.31\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.1224409765797, "fos_buckling": 1.3051057048115255, "fos_yielding": 1.8266203315376397, "deflection": 0.0061551587013991315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.305)" }, "parent_node_id": "node_2859", "improvement_over_parent": null }, "node_2861": { "node_id": "node_2861", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3679417371638, "fos_buckling": 1.5139719899413635, "fos_yielding": 2.1867014183621394, "deflection": 0.005155384498551137, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2860", "improvement_over_parent": null }, "node_2862": { "node_id": "node_2862", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2861", "improvement_over_parent": null }, "node_2863": { "node_id": "node_2863", "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 212.64 kg\n Factor of Safety: 0.64\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.63813865420946, "fos_buckling": 0.6350015039107982, "fos_yielding": 1.6793903608221366, "deflection": 0.009355519320182751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2864": { "node_id": "node_2864", "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 215.24 kg\n Factor of Safety: 0.71\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.2368180220163, "fos_buckling": 0.7115238330106939, "fos_yielding": 1.6781925141265643, "deflection": 0.009195260732318264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.182)" }, "parent_node_id": "node_2863", "improvement_over_parent": null }, "node_2865": { "node_id": "node_2865", "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 219.65 kg\n Factor of Safety: 0.69\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.6463046149847, "fos_buckling": 0.6860951539774462, "fos_yielding": 1.6763072611021272, "deflection": 0.008702182269502522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.285)" }, "parent_node_id": "node_2864", "improvement_over_parent": null }, "node_2866": { "node_id": "node_2866", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 285.09 kg\n Factor of Safety: 0.86\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.09456260218036, "fos_buckling": 0.8554373689767624, "fos_yielding": 2.1709103889695327, "deflection": 0.006729754102806534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2865", "improvement_over_parent": null }, "node_2867": { "node_id": "node_2867", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 290.67 kg\n Factor of Safety: 1.16\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.6687622671566, "fos_buckling": 1.1577345694832122, "fos_yielding": 2.193521003188097, "deflection": 0.005558087322729505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2866", "improvement_over_parent": null }, "node_2868": { "node_id": "node_2868", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 294.20 kg\n Factor of Safety: 1.32\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.19715231974766, "fos_buckling": 1.3242522554406586, "fos_yielding": 2.1961828811209263, "deflection": 0.005384912283543483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.227)" }, "parent_node_id": "node_2867", "improvement_over_parent": null }, "node_2869": { "node_id": "node_2869", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.10 kg\n Factor of Safety: 1.41\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.09862371479693, "fos_buckling": 1.4111692774712699, "fos_yielding": 2.199167172423341, "deflection": 0.005187130547062302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.321)" }, "parent_node_id": "node_2868", "improvement_over_parent": null }, "node_2870": { "node_id": "node_2870", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.21 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.21165069713294, "fos_buckling": 1.513324206465012, "fos_yielding": 2.185567566651843, "deflection": 0.005158186524536962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.357)" }, "parent_node_id": "node_2869", "improvement_over_parent": null }, "node_2871": { "node_id": "node_2871", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2870", "improvement_over_parent": null }, "node_2872": { "node_id": "node_2872", "content": "INITIAL DESIGN (Trace 410)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 176.80 kg\n Factor of Safety: 0.32\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.7988719059617, "fos_buckling": 0.32229335044204466, "fos_yielding": 0.9742928641001193, "deflection": 0.017902994219370947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2873": { "node_id": "node_2873", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n\nPerformance:\n Mass: 188.43 kg\n Factor of Safety: 0.32\n Max Deflection: 1.56e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.4324861047468, "fos_buckling": 0.3220131561221527, "fos_yielding": 0.9735064473223758, "deflection": 0.015642584881984875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002911)" }, "parent_node_id": "node_2872", "improvement_over_parent": null }, "node_2874": { "node_id": "node_2874", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 231.09 kg\n Factor of Safety: 0.38\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.08634458370435, "fos_buckling": 0.38340107780352256, "fos_yielding": 1.1891174152697628, "deflection": 0.012804926657954265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_2873", "improvement_over_parent": null }, "node_2875": { "node_id": "node_2875", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 1.30\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.81199163990274, "fos_buckling": 1.303745649696644, "fos_yielding": 1.824361350997087, "deflection": 0.006162911581819604, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004467)" }, "parent_node_id": "node_2874", "improvement_over_parent": null }, "node_2876": { "node_id": "node_2876", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.68129345073, "fos_buckling": 1.5152042502884266, "fos_yielding": 2.1889073878361933, "deflection": 0.005150465963922873, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2875", "improvement_over_parent": null }, "node_2877": { "node_id": "node_2877", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2876", "improvement_over_parent": null }, "node_2878": { "node_id": "node_2878", "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 260.94 kg\n Factor of Safety: 1.09\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.94016123640847, "fos_buckling": 1.0930529506705686, "fos_yielding": 2.1070431700372354, "deflection": 0.006800868000630971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2879": { "node_id": "node_2879", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 263.74 kg\n Factor of Safety: 1.09\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 263.744417215549, "fos_buckling": 1.0928252388996684, "fos_yielding": 2.18586261855284, "deflection": 0.006705386504197898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2878", "improvement_over_parent": null }, "node_2880": { "node_id": "node_2880", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 276.43 kg\n Factor of Safety: 1.09\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.4293839942402, "fos_buckling": 1.0912826703338236, "fos_yielding": 2.1818950079992327, "deflection": 0.0066187123500181235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.642)" }, "parent_node_id": "node_2879", "improvement_over_parent": null }, "node_2881": { "node_id": "node_2881", "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 284.26 kg\n Factor of Safety: 1.09\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 284.2604039863752, "fos_buckling": 1.09064906834351, "fos_yielding": 2.181758343133918, "deflection": 0.0059903913363668565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.484)" }, "parent_node_id": "node_2880", "improvement_over_parent": null }, "node_2882": { "node_id": "node_2882", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0079)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 308.60 kg\n Factor of Safety: 1.52\n Max Deflection: 5.12e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.6015319917521, "fos_buckling": 1.5225916403531459, "fos_yielding": 2.179082977038411, "deflection": 0.005117287322025962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_2881", "improvement_over_parent": null }, "node_2883": { "node_id": "node_2883", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2882", "improvement_over_parent": null }, "node_2884": { "node_id": "node_2884", "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 193.12 kg\n Factor of Safety: 0.68\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.12489673733523, "fos_buckling": 0.6757850941694801, "fos_yielding": 1.5232442458943505, "deflection": 0.008107861980899961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2885": { "node_id": "node_2885", "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 196.80 kg\n Factor of Safety: 0.68\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.79542215302735, "fos_buckling": 0.6755975558056361, "fos_yielding": 1.5231917137552948, "deflection": 0.008000604277607142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.462)" }, "parent_node_id": "node_2884", "improvement_over_parent": null }, "node_2886": { "node_id": "node_2886", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 231.34 kg\n Factor of Safety: 0.78\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.3423122776796, "fos_buckling": 0.776931804013877, "fos_yielding": 1.7889484278911247, "deflection": 0.006822030982330078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_2885", "improvement_over_parent": null }, "node_2887": { "node_id": "node_2887", "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.94 kg\n Factor of Safety: 0.78\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.94217609086257, "fos_buckling": 0.7767204671651928, "fos_yielding": 1.788887997085616, "deflection": 0.006756279836492294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.233)" }, "parent_node_id": "node_2886", "improvement_over_parent": null }, "node_2888": { "node_id": "node_2888", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.44 kg\n Factor of Safety: 0.91\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.4434502781177, "fos_buckling": 0.9058293553840837, "fos_yielding": 2.1483885773401803, "deflection": 0.00563789376089942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_2887", "improvement_over_parent": null }, "node_2889": { "node_id": "node_2889", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.17 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.1690571342161, "fos_buckling": 0.90592865210222, "fos_yielding": 2.16160647669991, "deflection": 0.005597892239074205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.383)" }, "parent_node_id": "node_2888", "improvement_over_parent": null }, "node_2890": { "node_id": "node_2890", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 300.43 kg\n Factor of Safety: 1.52\n Max Deflection: 5.17e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 300.428528616282, "fos_buckling": 1.516511864204515, "fos_yielding": 2.186247799728706, "deflection": 0.005174747410891475, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003751)" }, "parent_node_id": "node_2889", "improvement_over_parent": null }, "node_2891": { "node_id": "node_2891", "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n\nPerformance:\n Mass: 304.47 kg\n Factor of Safety: 1.52\n Max Deflection: 5.14e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 304.4663309009074, "fos_buckling": 1.5177263525781208, "fos_yielding": 2.1845791168999154, "deflection": 0.005139031744759245, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.195)" }, "parent_node_id": "node_2890", "improvement_over_parent": null }, "node_2892": { "node_id": "node_2892", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2891", "improvement_over_parent": null }, "node_2893": { "node_id": "node_2893", "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 215.93 kg\n Factor of Safety: 0.59\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.93387011524888, "fos_buckling": 0.5905672674947254, "fos_yielding": 0.7951184198993233, "deflection": 0.007409955715414987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2894": { "node_id": "node_2894", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 217.73 kg\n Factor of Safety: 0.90\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.73445565986182, "fos_buckling": 0.9011910189428287, "fos_yielding": 1.251207261552639, "deflection": 0.007176953297355476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.664)" }, "parent_node_id": "node_2893", "improvement_over_parent": null }, "node_2895": { "node_id": "node_2895", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 261.40 kg\n Factor of Safety: 1.07\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.4019008990777, "fos_buckling": 1.0673344228869583, "fos_yielding": 1.506810786376611, "deflection": 0.005997225964008569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_2894", "improvement_over_parent": null }, "node_2896": { "node_id": "node_2896", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.74 kg\n Factor of Safety: 1.06\n Max Deflection: 5.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.7359843797264, "fos_buckling": 1.0559822236279477, "fos_yielding": 1.490784304024148, "deflection": 0.00594658788413325, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.307)" }, "parent_node_id": "node_2895", "improvement_over_parent": null }, "node_2897": { "node_id": "node_2897", "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 267.56 kg\n Factor of Safety: 1.37\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.55962018400385, "fos_buckling": 1.3668189088369544, "fos_yielding": 1.9299879257140533, "deflection": 0.005829570258345543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.548)" }, "parent_node_id": "node_2896", "improvement_over_parent": null }, "node_2898": { "node_id": "node_2898", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.59771671398, "fos_buckling": 1.514921851726587, "fos_yielding": 2.188145128681051, "deflection": 0.005151681533712985, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_2897", "improvement_over_parent": null }, "node_2899": { "node_id": "node_2899", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2898", "improvement_over_parent": null }, "node_2900": { "node_id": "node_2900", "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 151.61 kg\n Factor of Safety: 0.61\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.61191351810118, "fos_buckling": 0.6133247441766092, "fos_yielding": 0.7462600606705034, "deflection": 0.010164054258717026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2901": { "node_id": "node_2901", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 193.07 kg\n Factor of Safety: 0.77\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.07087108282673, "fos_buckling": 0.7718556240026505, "fos_yielding": 0.9534057592235161, "deflection": 0.008007068061554096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2900", "improvement_over_parent": null }, "node_2902": { "node_id": "node_2902", "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 195.25 kg\n Factor of Safety: 0.77\n Max Deflection: 7.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.25149315764756, "fos_buckling": 0.7676820955807021, "fos_yielding": 0.9482505645082996, "deflection": 0.007968473019641082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.379)" }, "parent_node_id": "node_2901", "improvement_over_parent": null }, "node_2903": { "node_id": "node_2903", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.37 kg\n Factor of Safety: 0.90\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.36621749149026, "fos_buckling": 0.9003881893703624, "fos_yielding": 1.1270489690866028, "deflection": 0.006742727783490029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2902", "improvement_over_parent": null }, "node_2904": { "node_id": "node_2904", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 299.93 kg\n Factor of Safety: 1.14\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.9290580879198, "fos_buckling": 1.1442460503993588, "fos_yielding": 1.4701426288021022, "deflection": 0.0052278012529654964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2903", "improvement_over_parent": null }, "node_2905": { "node_id": "node_2905", "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.51088372971964, "fos_buckling": 1.5144581638026355, "fos_yielding": 2.1872100570430435, "deflection": 0.005153151698538482, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.560)" }, "parent_node_id": "node_2904", "improvement_over_parent": null }, "node_2906": { "node_id": "node_2906", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2905", "improvement_over_parent": null }, "node_2907": { "node_id": "node_2907", "content": "INITIAL DESIGN (Trace 415)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 236.48 kg\n Factor of Safety: 1.21\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.47856003762192, "fos_buckling": 1.205553076707547, "fos_yielding": 1.7348702267124052, "deflection": 0.006602343766606064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2908": { "node_id": "node_2908", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 298.39 kg\n Factor of Safety: 1.46\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.39080347653174, "fos_buckling": 1.4613343302455675, "fos_yielding": 2.185342515633758, "deflection": 0.005256278628916801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2907", "improvement_over_parent": null }, "node_2909": { "node_id": "node_2909", "content": "MODIFICATION: Increase 3 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.99 kg\n Factor of Safety: 1.44\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.98537346409285, "fos_buckling": 1.4447866782635956, "fos_yielding": 2.185105627047813, "deflection": 0.0052106931744553804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.292)" }, "parent_node_id": "node_2908", "improvement_over_parent": null }, "node_2910": { "node_id": "node_2910", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3027327372592, "fos_buckling": 1.5135715469253046, "fos_yielding": 2.1861946278254267, "deflection": 0.005156618951508193, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.340)" }, "parent_node_id": "node_2909", "improvement_over_parent": null }, "node_2911": { "node_id": "node_2911", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2910", "improvement_over_parent": null }, "node_2912": { "node_id": "node_2912", "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 171.30 kg\n Factor of Safety: 0.19\n Max Deflection: 3.77e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.30106391701005, "fos_buckling": 0.19057726486249513, "fos_yielding": 1.0039300497856152, "deflection": 0.0377475398103228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2913": { "node_id": "node_2913", "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 175.42 kg\n Factor of Safety: 0.19\n Max Deflection: 3.76e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.42104074188896, "fos_buckling": 0.19051890230703603, "fos_yielding": 1.003817195463842, "deflection": 0.03760478341643898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.605)" }, "parent_node_id": "node_2912", "improvement_over_parent": null }, "node_2914": { "node_id": "node_2914", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n\nPerformance:\n Mass: 177.28 kg\n Factor of Safety: 0.32\n Max Deflection: 1.67e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.2782540072694, "fos_buckling": 0.3150244571158874, "fos_yielding": 0.9497491890966714, "deflection": 0.016668552879729848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001513)" }, "parent_node_id": "node_2913", "improvement_over_parent": null }, "node_2915": { "node_id": "node_2915", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n\nPerformance:\n Mass: 226.19 kg\n Factor of Safety: 0.39\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.19409452256994, "fos_buckling": 0.3879699671200391, "fos_yielding": 1.2055954314520776, "deflection": 0.013122740129526243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2914", "improvement_over_parent": null }, "node_2916": { "node_id": "node_2916", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 267.92 kg\n Factor of Safety: 0.45\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.924135192345, "fos_buckling": 0.44552248027909974, "fos_yielding": 1.4217445542557166, "deflection": 0.011121034849635053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2915", "improvement_over_parent": null }, "node_2917": { "node_id": "node_2917", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 294.01 kg\n Factor of Safety: 1.49\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.0119274751211, "fos_buckling": 1.4924528158657915, "fos_yielding": 2.1842871608791294, "deflection": 0.005344096093760139, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_2916", "improvement_over_parent": null }, "node_2918": { "node_id": "node_2918", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 298.95 kg\n Factor of Safety: 1.50\n Max Deflection: 5.19e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 298.9538132725567, "fos_buckling": 1.5001452392225765, "fos_yielding": 2.1844081211179844, "deflection": 0.005187993288482848, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.263)" }, "parent_node_id": "node_2917", "improvement_over_parent": null }, "node_2919": { "node_id": "node_2919", "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.75 kg\n Factor of Safety: 1.49\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.75362618799267, "fos_buckling": 1.4944262338063259, "fos_yielding": 2.171599929128246, "deflection": 0.0051614332471469695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.302)" }, "parent_node_id": "node_2918", "improvement_over_parent": null }, "node_2920": { "node_id": "node_2920", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2919", "improvement_over_parent": null }, "node_2921": { "node_id": "node_2921", "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 185.66 kg\n Factor of Safety: 0.83\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.6555061851142, "fos_buckling": 0.8298740198451218, "fos_yielding": 1.143440052592183, "deflection": 0.008338122902749176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2922": { "node_id": "node_2922", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 229.37 kg\n Factor of Safety: 1.01\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.36891118853268, "fos_buckling": 1.0099800213769783, "fos_yielding": 1.4161201766416567, "deflection": 0.0067713942965790625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2921", "improvement_over_parent": null }, "node_2923": { "node_id": "node_2923", "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 235.89 kg\n Factor of Safety: 0.99\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.88739261011574, "fos_buckling": 0.9870254435116027, "fos_yielding": 1.3839349450792224, "deflection": 0.0066488376300345075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.555)" }, "parent_node_id": "node_2922", "improvement_over_parent": null }, "node_2924": { "node_id": "node_2924", "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.17 kg\n Factor of Safety: 1.24\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.1676997914363, "fos_buckling": 1.2396551232009838, "fos_yielding": 1.7192548210944976, "deflection": 0.006534346300060864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.471)" }, "parent_node_id": "node_2923", "improvement_over_parent": null }, "node_2925": { "node_id": "node_2925", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.68 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.68393033960865, "fos_buckling": 1.5150907403090292, "fos_yielding": 2.1889216903536792, "deflection": 0.005150266822425591, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2924", "improvement_over_parent": null }, "node_2926": { "node_id": "node_2926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2925", "improvement_over_parent": null }, "node_2927": { "node_id": "node_2927", "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 216.46 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.46428142112288, "fos_buckling": 0.9121050648004073, "fos_yielding": 1.94585958364415, "deflection": 0.00748568226634554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2928": { "node_id": "node_2928", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 231.10 kg\n Factor of Safety: 0.95\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.10430312835635, "fos_buckling": 0.9480479778278693, "fos_yielding": 1.7786870458069135, "deflection": 0.006970986377872263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003365)" }, "parent_node_id": "node_2927", "improvement_over_parent": null }, "node_2929": { "node_id": "node_2929", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 232.57 kg\n Factor of Safety: 0.99\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.5746701055664, "fos_buckling": 0.9948692619280374, "fos_yielding": 1.7801641517959477, "deflection": 0.006837033603904233, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.517)" }, "parent_node_id": "node_2928", "improvement_over_parent": null }, "node_2930": { "node_id": "node_2930", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 286.83 kg\n Factor of Safety: 1.20\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.8305224914654, "fos_buckling": 1.20012430707109, "fos_yielding": 2.1907496742101418, "deflection": 0.00556285742717889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2929", "improvement_over_parent": null }, "node_2931": { "node_id": "node_2931", "content": "MODIFICATION: Increase 13 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 292.32 kg\n Factor of Safety: 1.20\n Max Deflection: 5.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.31698717559993, "fos_buckling": 1.2022258574359268, "fos_yielding": 2.187686044138648, "deflection": 0.005498646162094492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.339)" }, "parent_node_id": "node_2930", "improvement_over_parent": null }, "node_2932": { "node_id": "node_2932", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5477596362592, "fos_buckling": 1.5139261801306443, "fos_yielding": 2.1879804560777862, "deflection": 0.005152807265953319, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_2931", "improvement_over_parent": null }, "node_2933": { "node_id": "node_2933", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2932", "improvement_over_parent": null }, "node_2934": { "node_id": "node_2934", "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 178.96 kg\n Factor of Safety: 0.69\n Max Deflection: 8.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.9647615099345, "fos_buckling": 0.6906468648358393, "fos_yielding": 0.9404041940419164, "deflection": 0.008766341122284967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2935": { "node_id": "node_2935", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 216.11 kg\n Factor of Safety: 0.83\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.1056293633026, "fos_buckling": 0.825939357825244, "fos_yielding": 1.1390181437328912, "deflection": 0.0072789291810564935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2934", "improvement_over_parent": null }, "node_2936": { "node_id": "node_2936", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 218.73 kg\n Factor of Safety: 1.15\n Max Deflection: 7.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.7342734345753, "fos_buckling": 1.1526303832649807, "fos_yielding": 1.5796266622060224, "deflection": 0.007104356092280392, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.661)" }, "parent_node_id": "node_2935", "improvement_over_parent": null }, "node_2937": { "node_id": "node_2937", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 252.41 kg\n Factor of Safety: 1.30\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.4139956070386, "fos_buckling": 1.301961784784649, "fos_yielding": 1.8214502960977466, "deflection": 0.006172269071279048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2936", "improvement_over_parent": null }, "node_2938": { "node_id": "node_2938", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0046)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 303.89 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.8894529376672, "fos_buckling": 1.5159645238780137, "fos_yielding": 2.1903320453089634, "deflection": 0.005146878346543239, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_2937", "improvement_over_parent": null }, "node_2939": { "node_id": "node_2939", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2938", "improvement_over_parent": null }, "node_2940": { "node_id": "node_2940", "content": "INITIAL DESIGN (Trace 420)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 113.59 kg\n Factor of Safety: 0.16\n Max Deflection: 5.93e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.58654246164868, "fos_buckling": 0.16351088678092657, "fos_yielding": 0.5944283807757675, "deflection": 59308502836074.62, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2941": { "node_id": "node_2941", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 143.12 kg\n Factor of Safety: 0.20\n Max Deflection: 2.21e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.11506202643162, "fos_buckling": 0.20153591599973442, "fos_yielding": 0.8282622498281594, "deflection": 22051876207523.074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2940", "improvement_over_parent": null }, "node_2942": { "node_id": "node_2942", "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 149.17 kg\n Factor of Safety: 0.40\n Max Deflection: 2.37e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.1677308685023, "fos_buckling": 0.40307183199946883, "fos_yielding": 1.2547073152123573, "deflection": 23680376985475.508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.616)" }, "parent_node_id": "node_2941", "improvement_over_parent": null }, "node_2943": { "node_id": "node_2943", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 189.45 kg\n Factor of Safety: 0.33\n Max Deflection: 2.26e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.451149257888, "fos_buckling": 0.33148348667456995, "fos_yielding": 0.5944283807757674, "deflection": 22573978149905.0, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_2942", "improvement_over_parent": null }, "node_2944": { "node_id": "node_2944", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 218.54 kg\n Factor of Safety: 0.76\n Max Deflection: 8.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.54164043699933, "fos_buckling": 0.7619658567146761, "fos_yielding": 1.7292817244050889, "deflection": 0.008142815067822273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004702)" }, "parent_node_id": "node_2943", "improvement_over_parent": null }, "node_2945": { "node_id": "node_2945", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 238.01 kg\n Factor of Safety: 0.74\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.00573627334708, "fos_buckling": 0.736237287337766, "fos_yielding": 1.727351867733225, "deflection": 0.008129612244558913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003846)" }, "parent_node_id": "node_2944", "improvement_over_parent": null }, "node_2946": { "node_id": "node_2946", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 242.46 kg\n Factor of Safety: 1.26\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.46397830114927, "fos_buckling": 1.2592363252612262, "fos_yielding": 1.7496149605556117, "deflection": 0.006420252256216012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002609)" }, "parent_node_id": "node_2945", "improvement_over_parent": null }, "node_2947": { "node_id": "node_2947", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.417645170037, "fos_buckling": 1.514770610412607, "fos_yielding": 2.1864278725190407, "deflection": 0.0051543580000979585, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_2946", "improvement_over_parent": null }, "node_2948": { "node_id": "node_2948", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2947", "improvement_over_parent": null }, "node_2949": { "node_id": "node_2949", "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 155.64 kg\n Factor of Safety: 0.69\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.63971271364522, "fos_buckling": 0.6883391844331491, "fos_yielding": 1.138761637272481, "deflection": 0.011208692239101276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2950": { "node_id": "node_2950", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 176.97 kg\n Factor of Safety: 0.77\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.96754906197188, "fos_buckling": 0.7697100136212813, "fos_yielding": 1.296293361533958, "deflection": 0.009875907433978362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2949", "improvement_over_parent": null }, "node_2951": { "node_id": "node_2951", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 188.36 kg\n Factor of Safety: 0.77\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.35615548329895, "fos_buckling": 0.7690632105825717, "fos_yielding": 1.2962933615339578, "deflection": 0.008608104914620886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002846)" }, "parent_node_id": "node_2950", "improvement_over_parent": null }, "node_2952": { "node_id": "node_2952", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n\nPerformance:\n Mass: 189.98 kg\n Factor of Safety: 0.77\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.9819040530177, "fos_buckling": 0.7690632105825704, "fos_yielding": 1.2962933615339578, "deflection": 0.008543459356959352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.277)" }, "parent_node_id": "node_2951", "improvement_over_parent": null }, "node_2953": { "node_id": "node_2953", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 0.95\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.42580649066747, "fos_buckling": 0.9469168684405798, "fos_yielding": 1.1920592228182598, "deflection": 0.007945107101895648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002451)" }, "parent_node_id": "node_2952", "improvement_over_parent": null }, "node_2954": { "node_id": "node_2954", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0042)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n\nPerformance:\n Mass: 230.13 kg\n Factor of Safety: 1.08\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.12533730527593, "fos_buckling": 1.0815953129737694, "fos_yielding": 1.3840589676490982, "deflection": 0.0068657407199982845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2953", "improvement_over_parent": null }, "node_2955": { "node_id": "node_2955", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 298.34 kg\n Factor of Safety: 1.35\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.336244484884, "fos_buckling": 1.3546514113524646, "fos_yielding": 1.7991299303469568, "deflection": 0.005320825410774861, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2954", "improvement_over_parent": null }, "node_2956": { "node_id": "node_2956", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0055)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0061)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.56 kg\n Factor of Safety: 1.36\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.558036921719, "fos_buckling": 1.3561144981429674, "fos_yielding": 1.7989439781807726, "deflection": 0.00527255518595992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.242)" }, "parent_node_id": "node_2955", "improvement_over_parent": null }, "node_2957": { "node_id": "node_2957", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2956", "improvement_over_parent": null }, "node_2958": { "node_id": "node_2958", "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 226.41 kg\n Factor of Safety: 1.01\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.41226333373905, "fos_buckling": 1.0147718705241633, "fos_yielding": 1.688800214990174, "deflection": 0.006970598322165314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2959": { "node_id": "node_2959", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 232.20 kg\n Factor of Safety: 1.03\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.20137226114915, "fos_buckling": 1.0286183312759016, "fos_yielding": 1.6896312245601415, "deflection": 0.006682330210071942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.269)" }, "parent_node_id": "node_2958", "improvement_over_parent": null }, "node_2960": { "node_id": "node_2960", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.84 kg\n Factor of Safety: 1.02\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.83859930500958, "fos_buckling": 1.0223096836545962, "fos_yielding": 1.6884656669851241, "deflection": 0.006547417865581656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.560)" }, "parent_node_id": "node_2959", "improvement_over_parent": null }, "node_2961": { "node_id": "node_2961", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.62 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.62363383459575, "fos_buckling": 1.2302500223262987, "fos_yielding": 2.1221756413857964, "deflection": 0.005226096367880145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2960", "improvement_over_parent": null }, "node_2962": { "node_id": "node_2962", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4278898137363, "fos_buckling": 1.5137253910993975, "fos_yielding": 2.187080755895034, "deflection": 0.005154735533577726, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2961", "improvement_over_parent": null }, "node_2963": { "node_id": "node_2963", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2962", "improvement_over_parent": null }, "node_2964": { "node_id": "node_2964", "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.46 kg\n Factor of Safety: 0.79\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.4553517665116, "fos_buckling": 0.7907517861826985, "fos_yielding": 1.7881483000261216, "deflection": 0.00787696320304428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2965": { "node_id": "node_2965", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.09 kg\n Factor of Safety: 0.93\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.0911559475357, "fos_buckling": 0.9279026713339248, "fos_yielding": 2.1525384705153936, "deflection": 0.006555266582526096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_2964", "improvement_over_parent": null }, "node_2966": { "node_id": "node_2966", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.63 kg\n Factor of Safety: 0.93\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.6329865903549, "fos_buckling": 0.9279805106687694, "fos_yielding": 2.161413210138591, "deflection": 0.006528517811226128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.263)" }, "parent_node_id": "node_2965", "improvement_over_parent": null }, "node_2967": { "node_id": "node_2967", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 297.75 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.75094182192936, "fos_buckling": 0.8891646444076196, "fos_yielding": 2.15853371142858, "deflection": 0.006520497660582052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2966", "improvement_over_parent": null }, "node_2968": { "node_id": "node_2968", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3251414869056, "fos_buckling": 1.5137424925146707, "fos_yielding": 2.1862512433751635, "deflection": 0.005156229485738552, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_2967", "improvement_over_parent": null }, "node_2969": { "node_id": "node_2969", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2968", "improvement_over_parent": null }, "node_2970": { "node_id": "node_2970", "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 249.73 kg\n Factor of Safety: 0.45\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.73244181869998, "fos_buckling": 0.4513920316911822, "fos_yielding": 1.7344831220779984, "deflection": 0.008629530112443433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2971": { "node_id": "node_2971", "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 255.17 kg\n Factor of Safety: 0.46\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.17353577420985, "fos_buckling": 0.45918214618753844, "fos_yielding": 1.7396570200877182, "deflection": 0.008609410918791591, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.475)" }, "parent_node_id": "node_2970", "improvement_over_parent": null }, "node_2972": { "node_id": "node_2972", "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 259.14 kg\n Factor of Safety: 0.64\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.136164309643, "fos_buckling": 0.639653625174653, "fos_yielding": 1.7226806721385886, "deflection": 0.008335420315314302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.597)" }, "parent_node_id": "node_2971", "improvement_over_parent": null }, "node_2973": { "node_id": "node_2973", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 264.03 kg\n Factor of Safety: 1.11\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.03268369837065, "fos_buckling": 1.109656127293869, "fos_yielding": 1.8654628986706403, "deflection": 0.005933642874653122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002887)" }, "parent_node_id": "node_2972", "improvement_over_parent": null }, "node_2974": { "node_id": "node_2974", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 300.56 kg\n Factor of Safety: 1.23\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.56115160492124, "fos_buckling": 1.2298939623735177, "fos_yielding": 2.121728159892285, "deflection": 0.005226888620502459, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2973", "improvement_over_parent": null }, "node_2975": { "node_id": "node_2975", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.36540758406176, "fos_buckling": 1.5139045033975285, "fos_yielding": 2.1866276966698543, "deflection": 0.005155495118974787, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2974", "improvement_over_parent": null }, "node_2976": { "node_id": "node_2976", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2975", "improvement_over_parent": null }, "node_2977": { "node_id": "node_2977", "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.49 kg\n Factor of Safety: 0.24\n Max Deflection: 2.98e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.48532230207047, "fos_buckling": 0.2406168345690426, "fos_yielding": 0.7528319480698531, "deflection": 0.029780472123894168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2978": { "node_id": "node_2978", "content": "MODIFICATION: Increase 10 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 214.84 kg\n Factor of Safety: 0.26\n Max Deflection: 2.88e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.84324884495365, "fos_buckling": 0.2556639683420556, "fos_yielding": 0.7529155440078655, "deflection": 0.02882175851325595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.271)" }, "parent_node_id": "node_2977", "improvement_over_parent": null }, "node_2979": { "node_id": "node_2979", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n\nPerformance:\n Mass: 244.74 kg\n Factor of Safety: 0.75\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 244.73752786959443, "fos_buckling": 0.7540936114733386, "fos_yielding": 1.776302931172455, "deflection": 0.007909308002063768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004842)" }, "parent_node_id": "node_2978", "improvement_over_parent": null }, "node_2980": { "node_id": "node_2980", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 249.32 kg\n Factor of Safety: 1.29\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 249.317872282879, "fos_buckling": 1.2885186532743882, "fos_yielding": 1.799190001622345, "deflection": 0.006247509354213435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002686)" }, "parent_node_id": "node_2979", "improvement_over_parent": null }, "node_2981": { "node_id": "node_2981", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3550751483815, "fos_buckling": 1.5138005585181802, "fos_yielding": 2.186453202580495, "deflection": 0.005155789480110254, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_2980", "improvement_over_parent": null }, "node_2982": { "node_id": "node_2982", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2981", "improvement_over_parent": null }, "node_2983": { "node_id": "node_2983", "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 172.12 kg\n Factor of Safety: 0.19\n Max Deflection: 3.79e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.11898144724577, "fos_buckling": 0.18675617383799176, "fos_yielding": 0.9814594037362832, "deflection": 0.03788513445582115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2984": { "node_id": "node_2984", "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 176.13 kg\n Factor of Safety: 0.19\n Max Deflection: 3.78e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.1303252087691, "fos_buckling": 0.18670049815223824, "fos_yielding": 0.9813519879280873, "deflection": 0.03776775639446974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.600)" }, "parent_node_id": "node_2983", "improvement_over_parent": null }, "node_2985": { "node_id": "node_2985", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 177.70 kg\n Factor of Safety: 0.19\n Max Deflection: 3.77e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.700670964929, "fos_buckling": 0.18670049815223805, "fos_yielding": 0.9813519879280872, "deflection": 0.03768260775953513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.362)" }, "parent_node_id": "node_2984", "improvement_over_parent": null }, "node_2986": { "node_id": "node_2986", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 206.62 kg\n Factor of Safety: 0.21\n Max Deflection: 3.25e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.62265181160896, "fos_buckling": 0.21256354471734282, "fos_yielding": 1.1395989661512629, "deflection": 0.03249711354556111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2985", "improvement_over_parent": null }, "node_2987": { "node_id": "node_2987", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 235.67 kg\n Factor of Safety: 0.24\n Max Deflection: 2.86e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 235.6688358588875, "fos_buckling": 0.23729444292346288, "fos_yielding": 1.2981143682119487, "deflection": 0.028570320128096575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2986", "improvement_over_parent": null }, "node_2988": { "node_id": "node_2988", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 258.04 kg\n Factor of Safety: 1.09\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.041860412366, "fos_buckling": 1.0892059872758244, "fos_yielding": 1.823549856731297, "deflection": 0.006069141313508019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004611)" }, "parent_node_id": "node_2987", "improvement_over_parent": null }, "node_2989": { "node_id": "node_2989", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 300.79 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.79201054095927, "fos_buckling": 1.2306352651103551, "fos_yielding": 2.1235263214195177, "deflection": 0.005223381126002003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_2988", "improvement_over_parent": null }, "node_2990": { "node_id": "node_2990", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.60 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5962665200998, "fos_buckling": 1.5148163447678595, "fos_yielding": 2.1885048302482355, "deflection": 0.005151973091693695, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_2989", "improvement_over_parent": null }, "node_2991": { "node_id": "node_2991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2990", "improvement_over_parent": null }, "node_2992": { "node_id": "node_2992", "content": "INITIAL DESIGN (Trace 427)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 214.23 kg\n Factor of Safety: 0.06\n Max Deflection: 4.15e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.22912309192472, "fos_buckling": 0.0577154668698334, "fos_yielding": 0.2972141903878837, "deflection": 41499421399017.66, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2993": { "node_id": "node_2993", "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 219.77 kg\n Factor of Safety: 0.46\n Max Deflection: 4.37e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.76760335343175, "fos_buckling": 0.4617237349586672, "fos_yielding": 1.855891920852291, "deflection": 4371300478684.9927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.323)" }, "parent_node_id": "node_2992", "improvement_over_parent": null }, "node_2994": { "node_id": "node_2994", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 242.99 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.99112373457973, "fos_buckling": 0.9609063699072129, "fos_yielding": 1.5755481439972643, "deflection": 4571342050603.763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_2993", "improvement_over_parent": null }, "node_2995": { "node_id": "node_2995", "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 245.45 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.45315003196825, "fos_buckling": 0.9609063699072129, "fos_yielding": 2.032833947995909, "deflection": 4571342050603.763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.562)" }, "parent_node_id": "node_2994", "improvement_over_parent": null }, "node_2996": { "node_id": "node_2996", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 247.82 kg\n Factor of Safety: 0.96\n Max Deflection: 4.57e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.82169988535097, "fos_buckling": 0.9609063699072129, "fos_yielding": 2.032833947995909, "deflection": 4571342050603.763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.364)" }, "parent_node_id": "node_2995", "improvement_over_parent": null }, "node_2997": { "node_id": "node_2997", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 264.94 kg\n Factor of Safety: 0.96\n Max Deflection: 3.69e+12 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.93965511692545, "fos_buckling": 0.9609063699072129, "fos_yielding": 2.1114616121380343, "deflection": 3693580398481.3823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_2996", "improvement_over_parent": null }, "node_2998": { "node_id": "node_2998", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.73 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.7302826593394, "fos_buckling": 1.0757899113593885, "fos_yielding": 2.3950779160317692, "deflection": 0.005580417815437067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_2997", "improvement_over_parent": null }, "node_2999": { "node_id": "node_2999", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.418653917828, "fos_buckling": 1.5140349156539676, "fos_yielding": 2.186943921256453, "deflection": 0.005154821319806302, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_2998", "improvement_over_parent": null }, "node_3000": { "node_id": "node_3000", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2999", "improvement_over_parent": null }, "node_3001": { "node_id": "node_3001", "content": "INITIAL DESIGN (Trace 428)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 212.61 kg\n Factor of Safety: 0.26\n Max Deflection: 3.01e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.61315050431864, "fos_buckling": 0.26210284123818683, "fos_yielding": 0.7546789929473187, "deflection": 0.030080167106728117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3002": { "node_id": "node_3002", "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 215.84 kg\n Factor of Safety: 0.26\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.83503238993586, "fos_buckling": 0.2621028412381869, "fos_yielding": 0.7753497142872646, "deflection": 0.029910863190246405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.605)" }, "parent_node_id": "node_3001", "improvement_over_parent": null }, "node_3003": { "node_id": "node_3003", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 220.55 kg\n Factor of Safety: 0.43\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.55110871851087, "fos_buckling": 0.4303085658862678, "fos_yielding": 1.4209831673947684, "deflection": 0.011500444011232272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002772)" }, "parent_node_id": "node_3002", "improvement_over_parent": null }, "node_3004": { "node_id": "node_3004", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 225.95 kg\n Factor of Safety: 0.43\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.9527849245049, "fos_buckling": 0.4300489037504507, "fos_yielding": 1.420595939408111, "deflection": 0.011179005078076365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.330)" }, "parent_node_id": "node_3003", "improvement_over_parent": null }, "node_3005": { "node_id": "node_3005", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.10 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.09534268034275, "fos_buckling": 0.4931218850356755, "fos_yielding": 1.6763131102037125, "deflection": 0.009484560161207873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_3004", "improvement_over_parent": null }, "node_3006": { "node_id": "node_3006", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4777401358219, "fos_buckling": 1.5141393446418525, "fos_yielding": 2.1873896031359, "deflection": 0.005153446840267943, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3005", "improvement_over_parent": null }, "node_3007": { "node_id": "node_3007", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3006", "improvement_over_parent": null }, "node_3008": { "node_id": "node_3008", "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 153.87 kg\n Factor of Safety: 0.23\n Max Deflection: 1.81e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.87344619181056, "fos_buckling": 0.23272674889332248, "fos_yielding": 0.9396401431246876, "deflection": 0.018109717525478655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3009": { "node_id": "node_3009", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 185.64 kg\n Factor of Safety: 0.28\n Max Deflection: 1.50e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.63603134305328, "fos_buckling": 0.2772335500123476, "fos_yielding": 1.13598144695621, "deflection": 0.015024492848327372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_3008", "improvement_over_parent": null }, "node_3010": { "node_id": "node_3010", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 237.98 kg\n Factor of Safety: 0.35\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.98410882663026, "fos_buckling": 0.34794768164093953, "fos_yielding": 1.4620475476972303, "deflection": 0.011735592001604768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3009", "improvement_over_parent": null }, "node_3011": { "node_id": "node_3011", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 243.73 kg\n Factor of Safety: 0.49\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.7318206761446, "fos_buckling": 0.4939495759449366, "fos_yielding": 1.470202043723934, "deflection": 0.010660731141780528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.555)" }, "parent_node_id": "node_3010", "improvement_over_parent": null }, "node_3012": { "node_id": "node_3012", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 280.11 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.1142181316237, "fos_buckling": 1.1344725303300127, "fos_yielding": 2.2244582519112184, "deflection": 0.0060268261688166385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3011", "improvement_over_parent": null }, "node_3013": { "node_id": "node_3013", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3377385127717, "fos_buckling": 1.5139237700678463, "fos_yielding": 2.186352352630471, "deflection": 0.0051559150837486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_3012", "improvement_over_parent": null }, "node_3014": { "node_id": "node_3014", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3013", "improvement_over_parent": null }, "node_3015": { "node_id": "node_3015", "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 194.50 kg\n Factor of Safety: 0.66\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.50276562041958, "fos_buckling": 0.6579383452921338, "fos_yielding": 1.4877669377188918, "deflection": 0.008099928702761454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3016": { "node_id": "node_3016", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 234.58 kg\n Factor of Safety: 0.77\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.57764167720225, "fos_buckling": 0.7740409667852624, "fos_yielding": 1.7926588235171175, "deflection": 0.006734824947780918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_3015", "improvement_over_parent": null }, "node_3017": { "node_id": "node_3017", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.07 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.06669352386325, "fos_buckling": 0.9056552219671398, "fos_yielding": 2.1608200797955828, "deflection": 0.005599881624331379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3016", "improvement_over_parent": null }, "node_3018": { "node_id": "node_3018", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.38 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3800284058901, "fos_buckling": 1.5139225016084266, "fos_yielding": 2.1866737463366395, "deflection": 0.0051553394971967535, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_3017", "improvement_over_parent": null }, "node_3019": { "node_id": "node_3019", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3018", "improvement_over_parent": null }, "node_3020": { "node_id": "node_3020", "content": "INITIAL DESIGN (Trace 431)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 247.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.93204946063724, "fos_buckling": 0.44639549185421473, "fos_yielding": 1.372205259789779, "deflection": 0.013061070043604727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3021": { "node_id": "node_3021", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 252.92 kg\n Factor of Safety: 0.45\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.91949113068046, "fos_buckling": 0.44614697954983257, "fos_yielding": 1.3716381104345619, "deflection": 0.012818686753498787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.357)" }, "parent_node_id": "node_3020", "improvement_over_parent": null }, "node_3022": { "node_id": "node_3022", "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 258.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.92866167758723, "fos_buckling": 0.44604724987380723, "fos_yielding": 1.4233149690224918, "deflection": 0.012719566225247487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.548)" }, "parent_node_id": "node_3021", "improvement_over_parent": null }, "node_3023": { "node_id": "node_3023", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 264.50 kg\n Factor of Safety: 0.45\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.50286134256345, "fos_buckling": 0.4456775960217365, "fos_yielding": 1.4222221686310075, "deflection": 0.010990588670920244, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3022", "improvement_over_parent": null }, "node_3024": { "node_id": "node_3024", "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 276.93 kg\n Factor of Safety: 0.45\n Max Deflection: 1.08e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.9254572491112, "fos_buckling": 0.44526641396938627, "fos_yielding": 1.4210064426057705, "deflection": 0.010783319257605792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.597)" }, "parent_node_id": "node_3023", "improvement_over_parent": null }, "node_3025": { "node_id": "node_3025", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0078)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.01 kg\n Factor of Safety: 1.22\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.01324953188737, "fos_buckling": 1.2178018219529703, "fos_yielding": 2.1860629595723564, "deflection": 0.005435738512622645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_3024", "improvement_over_parent": null }, "node_3026": { "node_id": "node_3026", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3025", "improvement_over_parent": null }, "node_3027": { "node_id": "node_3027", "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 217.98 kg\n Factor of Safety: 0.44\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.97870253443799, "fos_buckling": 0.4429351012999546, "fos_yielding": 1.17870029867088, "deflection": 0.008665363656167007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3028": { "node_id": "node_3028", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 273.45 kg\n Factor of Safety: 0.53\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.4481396291328, "fos_buckling": 0.5318536292351508, "fos_yielding": 1.4816714874976806, "deflection": 0.006946338404198546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_3027", "improvement_over_parent": null }, "node_3029": { "node_id": "node_3029", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 275.55 kg\n Factor of Safety: 0.53\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 275.54528447524183, "fos_buckling": 0.5318536292351509, "fos_yielding": 1.8472059115899955, "deflection": 0.006739596095626117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.271)" }, "parent_node_id": "node_3028", "improvement_over_parent": null }, "node_3030": { "node_id": "node_3030", "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.56 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.55979850919124, "fos_buckling": 0.5318536292351504, "fos_yielding": 1.8472059115899948, "deflection": 0.0067052060826271334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.295)" }, "parent_node_id": "node_3029", "improvement_over_parent": null }, "node_3031": { "node_id": "node_3031", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3504260516052, "fos_buckling": 1.5137150168738858, "fos_yielding": 2.186765228558083, "deflection": 0.005155887267947507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_3030", "improvement_over_parent": null }, "node_3032": { "node_id": "node_3032", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3031", "improvement_over_parent": null }, "node_3033": { "node_id": "node_3033", "content": "INITIAL DESIGN (Trace 433)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 166.57 kg\n Factor of Safety: 0.68\n Max Deflection: 1.00e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.56953755627896, "fos_buckling": 0.6788777823763535, "fos_yielding": 1.6626296461603562, "deflection": 10009450677062.719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3034": { "node_id": "node_3034", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 207.47 kg\n Factor of Safety: 0.02\n Max Deflection: 4.79e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.47035815471952, "fos_buckling": 0.018947606002483592, "fos_yielding": 0.11884768152032246, "deflection": 479036945479256.44, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3033", "improvement_over_parent": null }, "node_3035": { "node_id": "node_3035", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n\nPerformance:\n Mass: 217.74 kg\n Factor of Safety: 0.23\n Max Deflection: 3.17e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.7405631742578, "fos_buckling": 0.2260949191666703, "fos_yielding": 1.225213258406854, "deflection": 0.031743970227845274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003021)" }, "parent_node_id": "node_3034", "improvement_over_parent": null }, "node_3036": { "node_id": "node_3036", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 269.10 kg\n Factor of Safety: 0.27\n Max Deflection: 2.58e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.09939979497017, "fos_buckling": 0.2686948318913223, "fos_yielding": 1.5107578050009072, "deflection": 0.02582895358079067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_3035", "improvement_over_parent": null }, "node_3037": { "node_id": "node_3037", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 271.90 kg\n Factor of Safety: 0.45\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.9036557741107, "fos_buckling": 0.44582530021243777, "fos_yielding": 1.4220607146290327, "deflection": 0.013189087461190322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3036", "improvement_over_parent": null }, "node_3038": { "node_id": "node_3038", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n\nPerformance:\n Mass: 290.17 kg\n Factor of Safety: 0.86\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.171654093966, "fos_buckling": 0.8628295246571835, "fos_yielding": 2.158811226917032, "deflection": 0.006642553676189602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003710)" }, "parent_node_id": "node_3037", "improvement_over_parent": null }, "node_3039": { "node_id": "node_3039", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 295.75 kg\n Factor of Safety: 1.24\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.74585375894225, "fos_buckling": 1.2379929401746361, "fos_yielding": 2.1835895201146274, "deflection": 0.00543578776309194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3038", "improvement_over_parent": null }, "node_3040": { "node_id": "node_3040", "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0064)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M6: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 299.63 kg\n Factor of Safety: 1.24\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.63140612130456, "fos_buckling": 1.240308908304659, "fos_yielding": 2.1834262462864413, "deflection": 0.0053738079023045605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.471)" }, "parent_node_id": "node_3039", "improvement_over_parent": null }, "node_3041": { "node_id": "node_3041", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3040", "improvement_over_parent": null }, "node_3042": { "node_id": "node_3042", "content": "INITIAL DESIGN (Trace 434)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 155.92 kg\n Factor of Safety: 0.89\n Max Deflection: 1.00e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.92489928479378, "fos_buckling": 0.8945280951565766, "fos_yielding": 1.1447648129956547, "deflection": 0.010043457377463564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3043": { "node_id": "node_3043", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0032)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0031)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 179.19 kg\n Factor of Safety: 1.01\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.1926941760488, "fos_buckling": 1.0144681710895744, "fos_yielding": 1.3147648165011998, "deflection": 0.008754037493771238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_3042", "improvement_over_parent": null }, "node_3044": { "node_id": "node_3044", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 200.50 kg\n Factor of Safety: 1.12\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.5033401914799, "fos_buckling": 1.1196312234073427, "fos_yielding": 1.4702746515357759, "deflection": 0.007835622871420424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_3043", "improvement_over_parent": null }, "node_3045": { "node_id": "node_3045", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 260.97 kg\n Factor of Safety: 1.40\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 260.970513024307, "fos_buckling": 1.400420654378774, "fos_yielding": 1.9105193732978263, "deflection": 0.006046208269322058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_3044", "improvement_over_parent": null }, "node_3046": { "node_id": "node_3046", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 264.84 kg\n Factor of Safety: 1.36\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.83691489200856, "fos_buckling": 1.3553338678333795, "fos_yielding": 1.9106338285370132, "deflection": 0.005888458489420315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.227)" }, "parent_node_id": "node_3045", "improvement_over_parent": null }, "node_3047": { "node_id": "node_3047", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.40648554965424, "fos_buckling": 1.5142048593685504, "fos_yielding": 2.186964702336575, "deflection": 0.005155006904879019, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_3046", "improvement_over_parent": null }, "node_3048": { "node_id": "node_3048", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3047", "improvement_over_parent": null }, "node_3049": { "node_id": "node_3049", "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 218.41 kg\n Factor of Safety: 0.73\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.4092905548851, "fos_buckling": 0.7279973848080679, "fos_yielding": 1.6697163675608322, "deflection": 0.007225296562346942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3050": { "node_id": "node_3050", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 252.03 kg\n Factor of Safety: 0.82\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.0271381574047, "fos_buckling": 0.8225218419712638, "fos_yielding": 1.9252410346223936, "deflection": 0.006276097374085287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_3049", "improvement_over_parent": null }, "node_3051": { "node_id": "node_3051", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 282.99 kg\n Factor of Safety: 0.91\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 282.9922288867212, "fos_buckling": 0.9054605385438761, "fos_yielding": 2.1602553196843477, "deflection": 0.005601326374207803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_3050", "improvement_over_parent": null }, "node_3052": { "node_id": "node_3052", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.305563768748, "fos_buckling": 1.513600262132611, "fos_yielding": 2.186104374354186, "deflection": 0.0051566318889296565, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_3051", "improvement_over_parent": null }, "node_3053": { "node_id": "node_3053", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3052", "improvement_over_parent": null }, "node_3054": { "node_id": "node_3054", "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0022)]\n\nPerformance:\n Mass: 138.01 kg\n Factor of Safety: 0.45\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.00892856682188, "fos_buckling": 0.45160426925050545, "fos_yielding": 1.0041005934949738, "deflection": 0.01394127511192056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3055": { "node_id": "node_3055", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 164.35 kg\n Factor of Safety: 0.53\n Max Deflection: 1.17e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.347172946382, "fos_buckling": 0.5300474368772913, "fos_yielding": 1.1950191039459814, "deflection": 0.011724546644023358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_3054", "improvement_over_parent": null }, "node_3056": { "node_id": "node_3056", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 210.69 kg\n Factor of Safety: 0.66\n Max Deflection: 9.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.69463810919453, "fos_buckling": 0.6620510153503941, "fos_yielding": 1.5304299816163855, "deflection": 0.009169461581114993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3055", "improvement_over_parent": null }, "node_3057": { "node_id": "node_3057", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 254.38 kg\n Factor of Safety: 0.78\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 254.3774093790596, "fos_buckling": 0.7794177016664915, "fos_yielding": 1.8459177573936347, "deflection": 0.0076135917607871, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3056", "improvement_over_parent": null }, "node_3058": { "node_id": "node_3058", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.46 kg\n Factor of Safety: 0.89\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.45724655974925, "fos_buckling": 0.8884615894285696, "fos_yielding": 2.156445460195314, "deflection": 0.0065267506505913234, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_3057", "improvement_over_parent": null }, "node_3059": { "node_id": "node_3059", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.03 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.03144622472547, "fos_buckling": 1.5126031544413925, "fos_yielding": 2.1841435211420124, "deflection": 0.005161000429294292, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3058", "improvement_over_parent": null }, "node_3060": { "node_id": "node_3060", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3059", "improvement_over_parent": null }, "node_3061": { "node_id": "node_3061", "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 156.60 kg\n Factor of Safety: 0.18\n Max Deflection: 2.69e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.60364770978626, "fos_buckling": 0.1826331945957787, "fos_yielding": 0.5944283807757674, "deflection": 26882160625888.59, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3062": { "node_id": "node_3062", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 157.20 kg\n Factor of Safety: 0.65\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.19838880421258, "fos_buckling": 0.652906804343909, "fos_yielding": 1.3366809990503725, "deflection": 14421728122339.67, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.203)" }, "parent_node_id": "node_3061", "improvement_over_parent": null }, "node_3063": { "node_id": "node_3063", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 0.09\n Max Deflection: 1.44e+14 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.5739922431763, "fos_buckling": 0.09477230451820581, "fos_yielding": 0.45362654612419245, "deflection": 143515057719280.22, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_3062", "improvement_over_parent": null }, "node_3064": { "node_id": "node_3064", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 237.11 kg\n Factor of Safety: 0.92\n Max Deflection: 6.77e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.1068996481765, "fos_buckling": 0.9177592991108191, "fos_yielding": 2.3233000540565114, "deflection": 6766643701902.922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3063", "improvement_over_parent": null }, "node_3065": { "node_id": "node_3065", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 273.49 kg\n Factor of Safety: 1.09\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.48929710365564, "fos_buckling": 1.0919852955168003, "fos_yielding": 2.193049079005118, "deflection": 0.0060558250940939765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3064", "improvement_over_parent": null }, "node_3066": { "node_id": "node_3066", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.83042510903255, "fos_buckling": 1.3595673522129441, "fos_yielding": 2.1904181929747666, "deflection": 0.005218872933504429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3065", "improvement_over_parent": null }, "node_3067": { "node_id": "node_3067", "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0068)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 305.77 kg\n Factor of Safety: 1.37\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.77228850277356, "fos_buckling": 1.3711686561631826, "fos_yielding": 2.21041379677398, "deflection": 0.005157218779811148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.351)" }, "parent_node_id": "node_3066", "improvement_over_parent": null }, "node_3068": { "node_id": "node_3068", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3067", "improvement_over_parent": null }, "node_3069": { "node_id": "node_3069", "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.19 kg\n Factor of Safety: 0.92\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.19447237988777, "fos_buckling": 0.9170991784942456, "fos_yielding": 1.9149237014642222, "deflection": 0.006578646107478214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3070": { "node_id": "node_3070", "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.30 kg\n Factor of Safety: 0.92\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.29687128747616, "fos_buckling": 0.919364160025947, "fos_yielding": 1.9165681632760683, "deflection": 0.006531506802207149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.321)" }, "parent_node_id": "node_3069", "improvement_over_parent": null }, "node_3071": { "node_id": "node_3071", "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.82701849708076, "fos_buckling": 0.8894421267423548, "fos_yielding": 2.15919351792228, "deflection": 0.0065185533333970685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.647)" }, "parent_node_id": "node_3070", "improvement_over_parent": null }, "node_3072": { "node_id": "node_3072", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.401218162057, "fos_buckling": 1.5139535281482859, "fos_yielding": 2.186917108757149, "deflection": 0.005154976052258571, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3071", "improvement_over_parent": null }, "node_3073": { "node_id": "node_3073", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3072", "improvement_over_parent": null }, "node_3074": { "node_id": "node_3074", "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 206.19 kg\n Factor of Safety: 0.36\n Max Deflection: 1.79e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.18926542355175, "fos_buckling": 0.36100119017193055, "fos_yielding": 1.1086839658870287, "deflection": 0.01793239889012145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3075": { "node_id": "node_3075", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 210.51 kg\n Factor of Safety: 0.36\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.50889398289354, "fos_buckling": 0.3607684810067873, "fos_yielding": 1.1080208515208971, "deflection": 0.013905449456653625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)" }, "parent_node_id": "node_3074", "improvement_over_parent": null }, "node_3076": { "node_id": "node_3076", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 215.21 kg\n Factor of Safety: 0.36\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.21020732548484, "fos_buckling": 0.36057874968151216, "fos_yielding": 1.1076144284153837, "deflection": 0.013676769050772428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.328)" }, "parent_node_id": "node_3075", "improvement_over_parent": null }, "node_3077": { "node_id": "node_3077", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 277.65 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6522429175006, "fos_buckling": 0.44523503647710294, "fos_yielding": 1.4211934511497126, "deflection": 0.010659762239003542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3076", "improvement_over_parent": null }, "node_3078": { "node_id": "node_3078", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.74 kg\n Factor of Safety: 1.47\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.74003520027674, "fos_buckling": 1.4659354064498566, "fos_yielding": 2.1894496427931904, "deflection": 0.005190819096029674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_3077", "improvement_over_parent": null }, "node_3079": { "node_id": "node_3079", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3078", "improvement_over_parent": null }, "node_3080": { "node_id": "node_3080", "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 193.61 kg\n Factor of Safety: 0.40\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.6134005441499, "fos_buckling": 0.404678422100766, "fos_yielding": 1.3262169019208354, "deflection": 0.009361536270874056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3081": { "node_id": "node_3081", "content": "MODIFICATION: Increase 11 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 198.68 kg\n Factor of Safety: 0.40\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.68246808750118, "fos_buckling": 0.4045272795226169, "fos_yielding": 1.3261048069868253, "deflection": 0.009285220614543885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.437)" }, "parent_node_id": "node_3080", "improvement_over_parent": null }, "node_3082": { "node_id": "node_3082", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 217.14 kg\n Factor of Safety: 1.15\n Max Deflection: 7.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.14157757326296, "fos_buckling": 1.1453622036302296, "fos_yielding": 1.5682205473931665, "deflection": 0.007155532341278385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003516)" }, "parent_node_id": "node_3081", "improvement_over_parent": null }, "node_3083": { "node_id": "node_3083", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 251.39 kg\n Factor of Safety: 1.30\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.39464862879578, "fos_buckling": 1.2975241860424842, "fos_yielding": 1.8141810615109772, "deflection": 0.006196761902213393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_3082", "improvement_over_parent": null }, "node_3084": { "node_id": "node_3084", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.36027564351036, "fos_buckling": 1.5138201064660881, "fos_yielding": 2.186596604111874, "deflection": 0.005155606520115275, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3083", "improvement_over_parent": null }, "node_3085": { "node_id": "node_3085", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3084", "improvement_over_parent": null }, "node_3086": { "node_id": "node_3086", "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0029)]\n\nPerformance:\n Mass: 256.58 kg\n Factor of Safety: 1.16\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.57952707574935, "fos_buckling": 1.1617753532681547, "fos_yielding": 1.938260284145383, "deflection": 0.006156220354507005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3087": { "node_id": "node_3087", "content": "MODIFICATION: Increase 15 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 264.70 kg\n Factor of Safety: 1.40\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 264.697830432354, "fos_buckling": 1.3955866341965948, "fos_yielding": 1.9685989133426371, "deflection": 0.006036406814971281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.577)" }, "parent_node_id": "node_3086", "improvement_over_parent": null }, "node_3088": { "node_id": "node_3088", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.76 kg\n Factor of Safety: 1.51\n Max Deflection: 5.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 291.7635005567695, "fos_buckling": 1.5100501823374959, "fos_yielding": 2.168023447261352, "deflection": 0.005486177835024928, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_3087", "improvement_over_parent": null }, "node_3089": { "node_id": "node_3089", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 296.64 kg\n Factor of Safety: 1.51\n Max Deflection: 5.42e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 296.6404301995363, "fos_buckling": 1.5094090466110086, "fos_yielding": 2.190348043854731, "deflection": 0.0054151165233537035, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.404)" }, "parent_node_id": "node_3088", "improvement_over_parent": null }, "node_3090": { "node_id": "node_3090", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.26615874951506, "fos_buckling": 1.5135635121970188, "fos_yielding": 2.185983249379049, "deflection": 0.005157211349423511, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.353)" }, "parent_node_id": "node_3089", "improvement_over_parent": null }, "node_3091": { "node_id": "node_3091", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3090", "improvement_over_parent": null }, "node_3092": { "node_id": "node_3092", "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 277.76 kg\n Factor of Safety: 1.08\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.7610451899035, "fos_buckling": 1.0782813175102395, "fos_yielding": 2.395905482661271, "deflection": 0.0058747924122502845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3093": { "node_id": "node_3093", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.38 kg\n Factor of Safety: 1.08\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.3848747945752, "fos_buckling": 1.0780260019809709, "fos_yielding": 2.395905482661271, "deflection": 0.005790241112165422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.451)" }, "parent_node_id": "node_3092", "improvement_over_parent": null }, "node_3094": { "node_id": "node_3094", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.38e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 297.4166414798049, "fos_buckling": 1.5104173068848628, "fos_yielding": 2.190798338204224, "deflection": 0.005382004497259582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3093", "improvement_over_parent": null }, "node_3095": { "node_id": "node_3095", "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.43493666513933, "fos_buckling": 1.5140723656942434, "fos_yielding": 2.1869281531132962, "deflection": 0.005154136544661953, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.311)" }, "parent_node_id": "node_3094", "improvement_over_parent": null }, "node_3096": { "node_id": "node_3096", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3095", "improvement_over_parent": null }, "node_3097": { "node_id": "node_3097", "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 213.41 kg\n Factor of Safety: 1.10\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.40810430035043, "fos_buckling": 1.099746784881507, "fos_yielding": 1.5850055667407157, "deflection": 0.007234505735547247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3098": { "node_id": "node_3098", "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 219.44 kg\n Factor of Safety: 1.16\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.43935254702964, "fos_buckling": 1.1558294252272379, "fos_yielding": 1.5847009394411244, "deflection": 0.007081896805839612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.555)" }, "parent_node_id": "node_3097", "improvement_over_parent": null }, "node_3099": { "node_id": "node_3099", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 271.61 kg\n Factor of Safety: 1.38\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 271.61393896754237, "fos_buckling": 1.3837845810658234, "fos_yielding": 1.9591511596142877, "deflection": 0.0057443476930422975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_3098", "improvement_over_parent": null }, "node_3100": { "node_id": "node_3100", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.50 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4985667052728, "fos_buckling": 1.514399592763066, "fos_yielding": 2.1875447508360666, "deflection": 0.005153344350386975, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_3099", "improvement_over_parent": null }, "node_3101": { "node_id": "node_3101", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3100", "improvement_over_parent": null }, "node_3102": { "node_id": "node_3102", "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 177.75 kg\n Factor of Safety: 0.80\n Max Deflection: 8.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.74706171136, "fos_buckling": 0.8002063497550356, "fos_yielding": 1.3248792997925047, "deflection": 0.008928627187698499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3103": { "node_id": "node_3103", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 180.09 kg\n Factor of Safety: 0.80\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.09296339282182, "fos_buckling": 0.8009697692549498, "fos_yielding": 1.318073334819386, "deflection": 0.008849526767630306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.280)" }, "parent_node_id": "node_3102", "improvement_over_parent": null }, "node_3104": { "node_id": "node_3104", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 181.83 kg\n Factor of Safety: 0.81\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.8315644698766, "fos_buckling": 0.8071230968018944, "fos_yielding": 1.359248968742567, "deflection": 0.008727718575824555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001411)" }, "parent_node_id": "node_3103", "improvement_over_parent": null }, "node_3105": { "node_id": "node_3105", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n\nPerformance:\n Mass: 187.53 kg\n Factor of Safety: 0.84\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.53433304506763, "fos_buckling": 0.8402222851076544, "fos_yielding": 1.3590466266782584, "deflection": 0.00857155523881835, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.408)" }, "parent_node_id": "node_3104", "improvement_over_parent": null }, "node_3106": { "node_id": "node_3106", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n\nPerformance:\n Mass: 217.76 kg\n Factor of Safety: 0.96\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.76215564515465, "fos_buckling": 0.9637141025718792, "fos_yielding": 1.5773430582308956, "deflection": 0.007395103224498957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_3105", "improvement_over_parent": null }, "node_3107": { "node_id": "node_3107", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0055)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 246.44 kg\n Factor of Safety: 1.08\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.4433950934657, "fos_buckling": 1.077808645581887, "fos_yielding": 1.7842892976785034, "deflection": 0.0065455669126562675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_3106", "improvement_over_parent": null }, "node_3108": { "node_id": "node_3108", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0069)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 302.42 kg\n Factor of Safety: 1.29\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 302.4221867407987, "fos_buckling": 1.2918243427309246, "fos_yielding": 2.187713026800273, "deflection": 0.005351385388828787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_3107", "improvement_over_parent": null }, "node_3109": { "node_id": "node_3109", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3108", "improvement_over_parent": null }, "node_3110": { "node_id": "node_3110", "content": "INITIAL DESIGN (Trace 445)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 143.15 kg\n Factor of Safety: 0.52\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.1450867414623, "fos_buckling": 0.520686200738108, "fos_yielding": 1.1347968722992197, "deflection": 0.012374220713069761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3111": { "node_id": "node_3111", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 146.06 kg\n Factor of Safety: 0.63\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.06223156647397, "fos_buckling": 0.6263521013555695, "fos_yielding": 1.149761343234574, "deflection": 0.011345197764141276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001665)" }, "parent_node_id": "node_3110", "improvement_over_parent": null }, "node_3112": { "node_id": "node_3112", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 178.27 kg\n Factor of Safety: 0.75\n Max Deflection: 9.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.26779246452853, "fos_buckling": 0.7480257403784502, "fos_yielding": 1.4021869743418223, "deflection": 0.009319841934066661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_3111", "improvement_over_parent": null }, "node_3113": { "node_id": "node_3113", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 222.59 kg\n Factor of Safety: 0.91\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.59475586064278, "fos_buckling": 0.9059438513199276, "fos_yielding": 1.7489803501060088, "deflection": 0.007490640851794706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_3112", "improvement_over_parent": null }, "node_3114": { "node_id": "node_3114", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 246.61 kg\n Factor of Safety: 0.99\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.6100829748437, "fos_buckling": 0.9869138185918076, "fos_yielding": 1.9365565001432763, "deflection": 0.006774259898907386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_3113", "improvement_over_parent": null }, "node_3115": { "node_id": "node_3115", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 278.93 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.9320184709716, "fos_buckling": 1.0908393460181116, "fos_yielding": 2.188671496517016, "deflection": 0.006004829323960744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_3114", "improvement_over_parent": null }, "node_3116": { "node_id": "node_3116", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.27314647634853, "fos_buckling": 1.5135314573506597, "fos_yielding": 2.1858453746545514, "deflection": 0.005157177458348217, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3115", "improvement_over_parent": null }, "node_3117": { "node_id": "node_3117", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3116", "improvement_over_parent": null }, "node_3118": { "node_id": "node_3118", "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3119": { "node_id": "node_3119", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n\nPerformance:\n Mass: 253.39 kg\n Factor of Safety: 0.98\n Max Deflection: 6.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.38795625321342, "fos_buckling": 0.979472227480909, "fos_yielding": 2.1276545577999055, "deflection": 0.006265180953235739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003339)" }, "parent_node_id": "node_3118", "improvement_over_parent": null }, "node_3120": { "node_id": "node_3120", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 269.40 kg\n Factor of Safety: 1.37\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.39926452788694, "fos_buckling": 1.3744702252501564, "fos_yielding": 1.943261192007428, "deflection": 0.005790611406322644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003707)" }, "parent_node_id": "node_3119", "improvement_over_parent": null }, "node_3121": { "node_id": "node_3121", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.48 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.47805560197276, "fos_buckling": 1.5143202924034955, "fos_yielding": 2.1873828499568724, "deflection": 0.005153699648938026, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_3120", "improvement_over_parent": null }, "node_3122": { "node_id": "node_3122", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3121", "improvement_over_parent": null }, "node_3123": { "node_id": "node_3123", "content": "INITIAL DESIGN (Trace 447)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n\nPerformance:\n Mass: 195.49 kg\n Factor of Safety: 0.42\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.4916597994748, "fos_buckling": 0.4214894264062047, "fos_yielding": 1.3902956817081285, "deflection": 0.009650567958204825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3124": { "node_id": "node_3124", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 214.84 kg\n Factor of Safety: 0.86\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.84435178203933, "fos_buckling": 0.8598284838820509, "fos_yielding": 1.6459599982323099, "deflection": 0.007955969356069542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003698)" }, "parent_node_id": "node_3123", "improvement_over_parent": null }, "node_3125": { "node_id": "node_3125", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 248.98 kg\n Factor of Safety: 0.97\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.98156830214043, "fos_buckling": 0.9734986693843254, "fos_yielding": 1.905954907519221, "deflection": 0.0068839207425900155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_3124", "improvement_over_parent": null }, "node_3126": { "node_id": "node_3126", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.15159970652405, "fos_buckling": 1.0902607334836538, "fos_yielding": 2.1885724154255897, "deflection": 0.006007511289886684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_3125", "improvement_over_parent": null }, "node_3127": { "node_id": "node_3127", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2695549380985, "fos_buckling": 1.5135263914882202, "fos_yielding": 2.1858524654145657, "deflection": 0.005157177802856959, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_3126", "improvement_over_parent": null }, "node_3128": { "node_id": "node_3128", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3127", "improvement_over_parent": null }, "node_3129": { "node_id": "node_3129", "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 217.81 kg\n Factor of Safety: 0.90\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.81308701858495, "fos_buckling": 0.8972322248586393, "fos_yielding": 1.6839164252921812, "deflection": 0.007636813388969132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3130": { "node_id": "node_3130", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 220.02 kg\n Factor of Safety: 0.90\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.02380750069617, "fos_buckling": 0.8970844388944743, "fos_yielding": 1.7288841174664389, "deflection": 0.007576604087389051, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001822)" }, "parent_node_id": "node_3129", "improvement_over_parent": null }, "node_3131": { "node_id": "node_3131", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 279.15 kg\n Factor of Safety: 1.09\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.14807919814496, "fos_buckling": 1.0915137086934326, "fos_yielding": 2.1903523128581504, "deflection": 0.006000289091004614, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_3130", "improvement_over_parent": null }, "node_3132": { "node_id": "node_3132", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.48920720352186, "fos_buckling": 1.5143438044753432, "fos_yielding": 2.1875245391472355, "deflection": 0.005153454013668482, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3131", "improvement_over_parent": null }, "node_3133": { "node_id": "node_3133", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3132", "improvement_over_parent": null }, "node_3134": { "node_id": "node_3134", "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 224.73 kg\n Factor of Safety: 0.93\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.7261849314308, "fos_buckling": 0.9324923481122682, "fos_yielding": 1.9986614272329464, "deflection": 0.007126900466810885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3135": { "node_id": "node_3135", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 269.53 kg\n Factor of Safety: 1.08\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.52830937910886, "fos_buckling": 1.0786395078039206, "fos_yielding": 2.3948176393063214, "deflection": 0.005961779596727896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_3134", "improvement_over_parent": null }, "node_3136": { "node_id": "node_3136", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 287.56 kg\n Factor of Safety: 1.26\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 287.5600760643386, "fos_buckling": 1.2642791798460604, "fos_yielding": 2.190118236756139, "deflection": 0.005553958644575808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3135", "improvement_over_parent": null }, "node_3137": { "node_id": "node_3137", "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 295.83 kg\n Factor of Safety: 1.28\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.8257711182121, "fos_buckling": 1.2789184774054008, "fos_yielding": 2.190364768191713, "deflection": 0.0052498822780993855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.524)" }, "parent_node_id": "node_3136", "improvement_over_parent": null }, "node_3138": { "node_id": "node_3138", "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2917470259903, "fos_buckling": 1.513421933963578, "fos_yielding": 2.1859281920562883, "deflection": 0.005156736209873103, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.520)" }, "parent_node_id": "node_3137", "improvement_over_parent": null }, "node_3139": { "node_id": "node_3139", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3138", "improvement_over_parent": null }, "node_3140": { "node_id": "node_3140", "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 197.83 kg\n Factor of Safety: 0.81\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.83303717736246, "fos_buckling": 0.8080985222873818, "fos_yielding": 1.540369726805298, "deflection": 0.008578455025562598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3141": { "node_id": "node_3141", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 238.20 kg\n Factor of Safety: 0.95\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.20270225860185, "fos_buckling": 0.9463678284368789, "fos_yielding": 1.8526736691823413, "deflection": 0.007148285493714531, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_3140", "improvement_over_parent": null }, "node_3142": { "node_id": "node_3142", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 240.64 kg\n Factor of Safety: 0.95\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 240.63718509255722, "fos_buckling": 0.9462821304848119, "fos_yielding": 1.8424458836508235, "deflection": 0.007117887290315265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.319)" }, "parent_node_id": "node_3141", "improvement_over_parent": null }, "node_3143": { "node_id": "node_3143", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n\nPerformance:\n Mass: 255.02 kg\n Factor of Safety: 1.31\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.02352532140964, "fos_buckling": 1.3132172924003844, "fos_yielding": 1.8402046500707512, "deflection": 0.006110290601727373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003654)" }, "parent_node_id": "node_3142", "improvement_over_parent": null }, "node_3144": { "node_id": "node_3144", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.55 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5504630090022, "fos_buckling": 1.5146031864226392, "fos_yielding": 2.1879443495937885, "deflection": 0.005152463613933377, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_3143", "improvement_over_parent": null }, "node_3145": { "node_id": "node_3145", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3144", "improvement_over_parent": null }, "node_3146": { "node_id": "node_3146", "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 161.66 kg\n Factor of Safety: 0.34\n Max Deflection: 1.61e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.66444712007674, "fos_buckling": 0.34338704140475484, "fos_yielding": 1.0944769762152375, "deflection": 0.016081122442060305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3147": { "node_id": "node_3147", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 206.86 kg\n Factor of Safety: 0.42\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.8590106167926, "fos_buckling": 0.4241049235272723, "fos_yielding": 1.3965221227112186, "deflection": 0.012599644533871, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3146", "improvement_over_parent": null }, "node_3148": { "node_id": "node_3148", "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 211.31 kg\n Factor of Safety: 0.42\n Max Deflection: 1.25e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.3051380923822, "fos_buckling": 0.42403462029074623, "fos_yielding": 1.396417624942071, "deflection": 0.01253809809445772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.451)" }, "parent_node_id": "node_3147", "improvement_over_parent": null }, "node_3149": { "node_id": "node_3149", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0036)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 241.55 kg\n Factor of Safety: 1.12\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.55422802595677, "fos_buckling": 1.120053319368191, "fos_yielding": 1.776123526816641, "deflection": 0.006523989532402501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004904)" }, "parent_node_id": "node_3148", "improvement_over_parent": null }, "node_3150": { "node_id": "node_3150", "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n\nPerformance:\n Mass: 245.79 kg\n Factor of Safety: 1.06\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.78641457674559, "fos_buckling": 1.0643676099216406, "fos_yielding": 1.7662080366517534, "deflection": 0.006330476467293826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.248)" }, "parent_node_id": "node_3149", "improvement_over_parent": null }, "node_3151": { "node_id": "node_3151", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n\nPerformance:\n Mass: 248.12 kg\n Factor of Safety: 1.27\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.11862783832288, "fos_buckling": 1.2682116263415157, "fos_yielding": 1.8196928427679442, "deflection": 0.006246775428011979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001930)" }, "parent_node_id": "node_3150", "improvement_over_parent": null }, "node_3152": { "node_id": "node_3152", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.35 kg\n Factor of Safety: 1.48\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.35226979031825, "fos_buckling": 1.4756110210140132, "fos_yielding": 2.1850485874057335, "deflection": 0.005215272182799712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_3151", "improvement_over_parent": null }, "node_3153": { "node_id": "node_3153", "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.83 kg\n Factor of Safety: 1.48\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.83468104000355, "fos_buckling": 1.476929582830696, "fos_yielding": 2.182837873952799, "deflection": 0.005172554037124045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.267)" }, "parent_node_id": "node_3152", "improvement_over_parent": null }, "node_3154": { "node_id": "node_3154", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3153", "improvement_over_parent": null }, "node_3155": { "node_id": "node_3155", "content": "INITIAL DESIGN (Trace 452)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 102.30 kg\n Factor of Safety: 0.37\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.30485446473736, "fos_buckling": 0.3706427339852788, "fos_yielding": 0.7955676421763311, "deflection": 0.015254908139842966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3156": { "node_id": "node_3156", "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0008)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0021)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0017)]\n\nPerformance:\n Mass: 103.79 kg\n Factor of Safety: 0.37\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.78789793891494, "fos_buckling": 0.3706011448281057, "fos_yielding": 0.7955569356012877, "deflection": 0.015083896121492784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.319)" }, "parent_node_id": "node_3155", "improvement_over_parent": null }, "node_3157": { "node_id": "node_3157", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 126.19 kg\n Factor of Safety: 0.44\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.19144596313421, "fos_buckling": 0.444736051790681, "fos_yielding": 0.9667881334769151, "deflection": 0.012425367041442315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3156", "improvement_over_parent": null }, "node_3158": { "node_id": "node_3158", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 157.85 kg\n Factor of Safety: 0.55\n Max Deflection: 9.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.84617209164966, "fos_buckling": 0.5459403504686036, "fos_yielding": 1.2084267640982576, "deflection": 0.009955487184071318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_3157", "improvement_over_parent": null }, "node_3159": { "node_id": "node_3159", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n\nPerformance:\n Mass: 169.17 kg\n Factor of Safety: 0.92\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.1695877869369, "fos_buckling": 0.9193550361105574, "fos_yielding": 1.2231261755757237, "deflection": 0.009150859471119372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002396)" }, "parent_node_id": "node_3158", "improvement_over_parent": null }, "node_3160": { "node_id": "node_3160", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n\nPerformance:\n Mass: 214.81 kg\n Factor of Safety: 1.13\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.80579941290637, "fos_buckling": 1.1347282386318394, "fos_yielding": 1.5514651398634536, "deflection": 0.007231968233632702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3159", "improvement_over_parent": null }, "node_3161": { "node_id": "node_3161", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n\nPerformance:\n Mass: 252.47 kg\n Factor of Safety: 1.30\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.46612516587243, "fos_buckling": 1.3021841590609926, "fos_yielding": 1.821904836667453, "deflection": 0.006170898358671449, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3160", "improvement_over_parent": null }, "node_3162": { "node_id": "node_3162", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.27 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.2737251198074, "fos_buckling": 1.5135000085643322, "fos_yielding": 2.1860195014058688, "deflection": 0.005156987542803777, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_3161", "improvement_over_parent": null }, "node_3163": { "node_id": "node_3163", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3162", "improvement_over_parent": null }, "node_3164": { "node_id": "node_3164", "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 147.45 kg\n Factor of Safety: 0.49\n Max Deflection: 1.49e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.44978407408564, "fos_buckling": 0.4895729469587372, "fos_yielding": 1.1888567615515349, "deflection": 14894121645273.672, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3165": { "node_id": "node_3165", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n\nPerformance:\n Mass: 162.77 kg\n Factor of Safety: 0.33\n Max Deflection: 1.53e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.76860613864355, "fos_buckling": 0.33349408659041846, "fos_yielding": 1.059215136733106, "deflection": 0.015343918167124231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002980)" }, "parent_node_id": "node_3164", "improvement_over_parent": null }, "node_3166": { "node_id": "node_3166", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 206.78 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.77603682699166, "fos_buckling": 0.41004354009201843, "fos_yielding": 1.3426815653474746, "deflection": 0.01211760570525359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_3165", "improvement_over_parent": null }, "node_3167": { "node_id": "node_3167", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0058)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n\nPerformance:\n Mass: 215.43 kg\n Factor of Safety: 0.41\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.43229507357995, "fos_buckling": 0.4099112450292717, "fos_yielding": 1.3424860115183785, "deflection": 0.012054986214224229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.468)" }, "parent_node_id": "node_3166", "improvement_over_parent": null }, "node_3168": { "node_id": "node_3168", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 269.30 kg\n Factor of Safety: 0.49\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 269.29986663784007, "fos_buckling": 0.4930859661963453, "fos_yielding": 1.676132529233983, "deflection": 0.009669098602246911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_3167", "improvement_over_parent": null }, "node_3169": { "node_id": "node_3169", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.68 kg\n Factor of Safety: 1.39\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.6822640933192, "fos_buckling": 1.3924657635294433, "fos_yielding": 2.151156357436189, "deflection": 0.005243475452280827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3168", "improvement_over_parent": null }, "node_3170": { "node_id": "node_3170", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0074)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 308.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.11e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 308.4865200724597, "fos_buckling": 1.5130943916750332, "fos_yielding": 2.231892687470769, "deflection": 0.005114851076567581, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3169", "improvement_over_parent": null }, "node_3171": { "node_id": "node_3171", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3170", "improvement_over_parent": null }, "node_3172": { "node_id": "node_3172", "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 0.85\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.9367958395192, "fos_buckling": 0.8485649492284795, "fos_yielding": 1.7545347658275532, "deflection": 0.008631034683557977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3173": { "node_id": "node_3173", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 0.89\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.99757385653453, "fos_buckling": 0.8863051939166904, "fos_yielding": 1.6378848725069366, "deflection": 0.008253711867765216, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001690)" }, "parent_node_id": "node_3172", "improvement_over_parent": null }, "node_3174": { "node_id": "node_3174", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 245.80 kg\n Factor of Safety: 1.05\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 245.79900527227878, "fos_buckling": 1.0454913693351369, "fos_yielding": 1.9905999506503638, "deflection": 0.0068019979961454445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3173", "improvement_over_parent": null }, "node_3175": { "node_id": "node_3175", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 250.49 kg\n Factor of Safety: 1.03\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.4889110977513, "fos_buckling": 1.0332980884941863, "fos_yielding": 1.9905337608081548, "deflection": 0.0067273239250402956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.479)" }, "parent_node_id": "node_3174", "improvement_over_parent": null }, "node_3176": { "node_id": "node_3176", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 280.12 kg\n Factor of Safety: 1.13\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.12360992146415, "fos_buckling": 1.1343654676106034, "fos_yielding": 2.2245303478563936, "deflection": 0.006026806584688439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3175", "improvement_over_parent": null }, "node_3177": { "node_id": "node_3177", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.34713030261213, "fos_buckling": 1.5137856160983667, "fos_yielding": 2.1864233953582475, "deflection": 0.005155893645669602, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)" }, "parent_node_id": "node_3176", "improvement_over_parent": null }, "node_3178": { "node_id": "node_3178", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3177", "improvement_over_parent": null }, "node_3179": { "node_id": "node_3179", "content": "INITIAL DESIGN (Trace 455)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 214.68 kg\n Factor of Safety: 1.02\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.6759681452467, "fos_buckling": 1.0165321384081145, "fos_yielding": 1.2890486293549772, "deflection": 0.007237010789894927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3180": { "node_id": "node_3180", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 272.43 kg\n Factor of Safety: 1.26\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.4286472203496, "fos_buckling": 1.2580024580984097, "fos_yielding": 1.6392001300316972, "deflection": 0.005727922910975917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3179", "improvement_over_parent": null }, "node_3181": { "node_id": "node_3181", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0040)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 274.12 kg\n Factor of Safety: 1.39\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.1198370342676, "fos_buckling": 1.3942733906487743, "fos_yielding": 1.977980644235392, "deflection": 0.005692946506606227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.233)" }, "parent_node_id": "node_3180", "improvement_over_parent": null }, "node_3182": { "node_id": "node_3182", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3049708596749, "fos_buckling": 1.5136114723002112, "fos_yielding": 2.187107346872176, "deflection": 0.005156580551612356, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_3181", "improvement_over_parent": null }, "node_3183": { "node_id": "node_3183", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3182", "improvement_over_parent": null }, "node_3184": { "node_id": "node_3184", "content": "INITIAL DESIGN (Trace 456)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 224.96 kg\n Factor of Safety: 0.99\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.9644232072446, "fos_buckling": 0.9877699050244906, "fos_yielding": 1.674364799031302, "deflection": 0.0074668222154919564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3185": { "node_id": "node_3185", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 251.66 kg\n Factor of Safety: 1.08\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.6612703511421, "fos_buckling": 1.0798926547587984, "fos_yielding": 1.8770122831455263, "deflection": 0.006689595702630565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3184", "improvement_over_parent": null }, "node_3186": { "node_id": "node_3186", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 276.00 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.002398356519, "fos_buckling": 1.0779757676789723, "fos_yielding": 1.8770122831455263, "deflection": 0.005840826097631412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3185", "improvement_over_parent": null }, "node_3187": { "node_id": "node_3187", "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 278.30 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.30050797973985, "fos_buckling": 1.0779757676789723, "fos_yielding": 2.3964567991290164, "deflection": 0.005840826097631412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.304)" }, "parent_node_id": "node_3186", "improvement_over_parent": null }, "node_3188": { "node_id": "node_3188", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 296.33 kg\n Factor of Safety: 1.28\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 296.3322746649696, "fos_buckling": 1.27593876545287, "fos_yielding": 2.1834448562594657, "deflection": 0.005401030910923657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3187", "improvement_over_parent": null }, "node_3189": { "node_id": "node_3189", "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3396686183935, "fos_buckling": 1.5137038858562912, "fos_yielding": 2.1873936098804188, "deflection": 0.005156030188947637, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.403)" }, "parent_node_id": "node_3188", "improvement_over_parent": null }, "node_3190": { "node_id": "node_3190", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3189", "improvement_over_parent": null }, "node_3191": { "node_id": "node_3191", "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n\nPerformance:\n Mass: 153.93 kg\n Factor of Safety: 0.82\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.93090844044912, "fos_buckling": 0.8156027297107713, "fos_yielding": 1.144643299076804, "deflection": 0.01052936124402671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3192": { "node_id": "node_3192", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0032)]\n\nPerformance:\n Mass: 190.77 kg\n Factor of Safety: 0.99\n Max Deflection: 8.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.77109892158012, "fos_buckling": 0.9862394154912039, "fos_yielding": 1.4168397351919257, "deflection": 0.008514849420001311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_3191", "improvement_over_parent": null }, "node_3193": { "node_id": "node_3193", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 243.94 kg\n Factor of Safety: 1.22\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.93791229146512, "fos_buckling": 1.216170038285519, "fos_yielding": 1.808417857985094, "deflection": 0.006679983098989455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3192", "improvement_over_parent": null }, "node_3194": { "node_id": "node_3194", "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.07\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.3670825827067, "fos_buckling": 1.0697734219404933, "fos_yielding": 1.7835096918024549, "deflection": 0.0062025311750707746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.629)" }, "parent_node_id": "node_3193", "improvement_over_parent": null }, "node_3195": { "node_id": "node_3195", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n\nPerformance:\n Mass: 300.85 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.84674643633826, "fos_buckling": 1.230979170097469, "fos_yielding": 2.123705812722868, "deflection": 0.005222104267903058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_3194", "improvement_over_parent": null }, "node_3196": { "node_id": "node_3196", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.65 kg\n Factor of Safety: 1.52\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.6510024154788, "fos_buckling": 1.5150254290015457, "fos_yielding": 2.1886417873239763, "deflection": 0.005150822482697706, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3195", "improvement_over_parent": null }, "node_3197": { "node_id": "node_3197", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3196", "improvement_over_parent": null }, "node_3198": { "node_id": "node_3198", "content": "INITIAL DESIGN (Trace 458)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 251.60 kg\n Factor of Safety: 0.90\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.59925364816604, "fos_buckling": 0.9045137882591465, "fos_yielding": 2.1884360927217, "deflection": 0.006949680842525236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3199": { "node_id": "node_3199", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 261.45 kg\n Factor of Safety: 0.90\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.44821089313166, "fos_buckling": 0.9045137882591472, "fos_yielding": 2.183635992933298, "deflection": 0.006197800732371637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.621)" }, "parent_node_id": "node_3198", "improvement_over_parent": null }, "node_3200": { "node_id": "node_3200", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 265.05 kg\n Factor of Safety: 0.90\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.04859365605444, "fos_buckling": 0.9045137882591474, "fos_yielding": 2.1836359929332962, "deflection": 0.006143347157415175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.176)" }, "parent_node_id": "node_3199", "improvement_over_parent": null }, "node_3201": { "node_id": "node_3201", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 285.36 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 285.36192853808126, "fos_buckling": 1.076618567547298, "fos_yielding": 2.395905482661271, "deflection": 0.005578463075282642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_3200", "improvement_over_parent": null }, "node_3202": { "node_id": "node_3202", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.393695223311, "fos_buckling": 1.5140811770833837, "fos_yielding": 2.186935697280511, "deflection": 0.005155317188137921, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3201", "improvement_over_parent": null }, "node_3203": { "node_id": "node_3203", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3202", "improvement_over_parent": null }, "node_3204": { "node_id": "node_3204", "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 136.21 kg\n Factor of Safety: 0.60\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.2108029144071, "fos_buckling": 0.5968329417485989, "fos_yielding": 1.0993725708961737, "deflection": 0.012690861471595974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3205": { "node_id": "node_3205", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 176.11 kg\n Factor of Safety: 0.75\n Max Deflection: 9.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.10923947429737, "fos_buckling": 0.7506486157787541, "fos_yielding": 1.4194255674470617, "deflection": 0.009844069986350262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3204", "improvement_over_parent": null }, "node_3206": { "node_id": "node_3206", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 202.56 kg\n Factor of Safety: 0.85\n Max Deflection: 8.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.56428473004132, "fos_buckling": 0.8474772609668603, "fos_yielding": 1.631124015854982, "deflection": 0.008574719488668761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_3205", "improvement_over_parent": null }, "node_3207": { "node_id": "node_3207", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 247.65 kg\n Factor of Safety: 1.00\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.6474615850405, "fos_buckling": 1.0030943456618722, "fos_yielding": 1.990912004132928, "deflection": 0.007036321589362074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_3206", "improvement_over_parent": null }, "node_3208": { "node_id": "node_3208", "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 250.53 kg\n Factor of Safety: 1.00\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.5285233266908, "fos_buckling": 1.0029868962401247, "fos_yielding": 1.9787750215571518, "deflection": 0.007005943824580513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.366)" }, "parent_node_id": "node_3207", "improvement_over_parent": null }, "node_3209": { "node_id": "node_3209", "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 257.88 kg\n Factor of Safety: 1.00\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.87513403682067, "fos_buckling": 1.0021656799738476, "fos_yielding": 1.973814912087341, "deflection": 0.0066512954993470045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.464)" }, "parent_node_id": "node_3208", "improvement_over_parent": null }, "node_3210": { "node_id": "node_3210", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.27 kg\n Factor of Safety: 1.09\n Max Deflection: 6.01e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.2692750673842, "fos_buckling": 1.0906892053813617, "fos_yielding": 2.189679177633799, "deflection": 0.0060051553319067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_3209", "improvement_over_parent": null }, "node_3211": { "node_id": "node_3211", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.39 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3872302989587, "fos_buckling": 1.5140442259967912, "fos_yielding": 2.186958649439126, "deflection": 0.005155356180823557, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_3210", "improvement_over_parent": null }, "node_3212": { "node_id": "node_3212", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3211", "improvement_over_parent": null }, "node_3213": { "node_id": "node_3213", "content": "INITIAL DESIGN (Trace 460)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 0.96\n Max Deflection: 8.93e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.9331564016925, "fos_buckling": 0.9629437538992249, "fos_yielding": 1.1888567615515349, "deflection": 8930794643855.434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3214": { "node_id": "node_3214", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n Mass: 184.63 kg\n Factor of Safety: 1.34\n Max Deflection: 7.15e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.62556558735216, "fos_buckling": 1.341461499799471, "fos_yielding": 1.1888567615515349, "deflection": 7153051737950.932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.548)" }, "parent_node_id": "node_3213", "improvement_over_parent": null }, "node_3215": { "node_id": "node_3215", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 203.38 kg\n Factor of Safety: 0.83\n Max Deflection: 7.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.37993619138845, "fos_buckling": 0.8309076953645552, "fos_yielding": 1.742806826865075, "deflection": 0.007895022530413484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003576)" }, "parent_node_id": "node_3214", "improvement_over_parent": null }, "node_3216": { "node_id": "node_3216", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.54 kg\n Factor of Safety: 0.92\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.54056178934928, "fos_buckling": 0.9160352281794373, "fos_yielding": 1.957860802684478, "deflection": 0.00703967512607437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_3215", "improvement_over_parent": null }, "node_3217": { "node_id": "node_3217", "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 233.15 kg\n Factor of Safety: 0.92\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.1527860823484, "fos_buckling": 0.9151057808720857, "fos_yielding": 1.957860802684478, "deflection": 0.006797139304259743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.297)" }, "parent_node_id": "node_3216", "improvement_over_parent": null }, "node_3218": { "node_id": "node_3218", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n\nPerformance:\n Mass: 247.87 kg\n Factor of Safety: 1.28\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.86955501584558, "fos_buckling": 1.2822530373299106, "fos_yielding": 1.7889208270757664, "deflection": 0.0062829046570827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003384)" }, "parent_node_id": "node_3217", "improvement_over_parent": null }, "node_3219": { "node_id": "node_3219", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.62 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.62161304773537, "fos_buckling": 1.5149048497424342, "fos_yielding": 2.188509625639499, "deflection": 0.005151034746283074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_3218", "improvement_over_parent": null }, "node_3220": { "node_id": "node_3220", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3219", "improvement_over_parent": null }, "node_3221": { "node_id": "node_3221", "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 237.14 kg\n Factor of Safety: 0.48\n Max Deflection: 9.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 237.1447487891969, "fos_buckling": 0.4765089373988544, "fos_yielding": 1.610080509181116, "deflection": 0.009811175163838911, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3222": { "node_id": "node_3222", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0048)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0047)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n\nPerformance:\n Mass: 238.30 kg\n Factor of Safety: 0.48\n Max Deflection: 9.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.2962003481045, "fos_buckling": 0.47642848750286454, "fos_yielding": 1.6100187735189189, "deflection": 0.00993935462738497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.429)" }, "parent_node_id": "node_3221", "improvement_over_parent": null }, "node_3223": { "node_id": "node_3223", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 273.88 kg\n Factor of Safety: 0.53\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.88029702522385, "fos_buckling": 0.5324756645859942, "fos_yielding": 1.8478618857965794, "deflection": 0.008685783956802478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_3222", "improvement_over_parent": null }, "node_3224": { "node_id": "node_3224", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 276.68 kg\n Factor of Safety: 0.53\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 276.6845530043644, "fos_buckling": 0.5320402196120929, "fos_yielding": 1.8475173040266502, "deflection": 0.006690169943407437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3223", "improvement_over_parent": null }, "node_3225": { "node_id": "node_3225", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.64 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6394131556894, "fos_buckling": 0.5319661551898074, "fos_yielding": 1.8474586511069298, "deflection": 0.006703489176003385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.227)" }, "parent_node_id": "node_3224", "improvement_over_parent": null }, "node_3226": { "node_id": "node_3226", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.43004069810337, "fos_buckling": 1.5141363968323351, "fos_yielding": 2.1870520611131634, "deflection": 0.005154479679068883, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_3225", "improvement_over_parent": null }, "node_3227": { "node_id": "node_3227", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3226", "improvement_over_parent": null }, "node_3228": { "node_id": "node_3228", "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0021)]\n\nPerformance:\n Mass: 123.89 kg\n Factor of Safety: 0.66\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.88694617390044, "fos_buckling": 0.6592579283148154, "fos_yielding": 0.9519009796501986, "deflection": 0.013074988184819822, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3229": { "node_id": "node_3229", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 147.89 kg\n Factor of Safety: 0.78\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.89162530358587, "fos_buckling": 0.7772659627875202, "fos_yielding": 1.1354276495474867, "deflection": 0.010968808906786417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3228", "improvement_over_parent": null }, "node_3230": { "node_id": "node_3230", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 149.90 kg\n Factor of Safety: 0.83\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.89677668287658, "fos_buckling": 0.8301864738614047, "fos_yielding": 1.126753356384304, "deflection": 0.010899566159015169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.466)" }, "parent_node_id": "node_3229", "improvement_over_parent": null }, "node_3231": { "node_id": "node_3231", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 1.00\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.42721528127555, "fos_buckling": 1.0033707193260006, "fos_yielding": 1.392322421479721, "deflection": 0.008829269245951132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_3230", "improvement_over_parent": null }, "node_3232": { "node_id": "node_3232", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 241.68 kg\n Factor of Safety: 1.26\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.6752930440704, "fos_buckling": 1.2595025762150842, "fos_yielding": 1.8115206405241846, "deflection": 0.006796066114630796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_3231", "improvement_over_parent": null }, "node_3233": { "node_id": "node_3233", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.86 kg\n Factor of Safety: 1.47\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.85971652508715, "fos_buckling": 1.4736491199219677, "fos_yielding": 2.1916453186526677, "deflection": 0.0056242458953965355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_3232", "improvement_over_parent": null }, "node_3234": { "node_id": "node_3234", "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.02 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.02262420458146, "fos_buckling": 1.5124147898510316, "fos_yielding": 2.183923983550791, "deflection": 0.005161064133366269, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.653)" }, "parent_node_id": "node_3233", "improvement_over_parent": null }, "node_3235": { "node_id": "node_3235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3234", "improvement_over_parent": null }, "node_3236": { "node_id": "node_3236", "content": "INITIAL DESIGN (Trace 463)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 178.81 kg\n Factor of Safety: 0.59\n Max Deflection: 1.16e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.81050349875372, "fos_buckling": 0.5940463454123951, "fos_yielding": 1.8357013452632842, "deflection": 11591792972986.568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3237": { "node_id": "node_3237", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n Mass: 196.81 kg\n Factor of Safety: 0.55\n Max Deflection: 8.54e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.80661584629473, "fos_buckling": 0.5534539778357952, "fos_yielding": 1.856895489422622, "deflection": 8541487612863.0, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003632)" }, "parent_node_id": "node_3236", "improvement_over_parent": null }, "node_3238": { "node_id": "node_3238", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 216.79 kg\n Factor of Safety: 0.74\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.78898006891848, "fos_buckling": 0.7370938962397344, "fos_yielding": 1.7157476022668927, "deflection": 0.009092287861295206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003827)" }, "parent_node_id": "node_3237", "improvement_over_parent": null }, "node_3239": { "node_id": "node_3239", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 279.79 kg\n Factor of Safety: 0.91\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 279.7934656013641, "fos_buckling": 0.914583595843025, "fos_yielding": 2.2073160989473672, "deflection": 0.007073415116158756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3238", "improvement_over_parent": null }, "node_3240": { "node_id": "node_3240", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 297.83 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.82523228659386, "fos_buckling": 0.889426574309659, "fos_yielding": 2.1590637587558836, "deflection": 0.006518818832327283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3239", "improvement_over_parent": null }, "node_3241": { "node_id": "node_3241", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.40 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3994319515701, "fos_buckling": 1.513996725873763, "fos_yielding": 2.1867909812444126, "deflection": 0.005155024360345794, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3240", "improvement_over_parent": null }, "node_3242": { "node_id": "node_3242", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3241", "improvement_over_parent": null }, "node_3243": { "node_id": "node_3243", "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0036)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 173.51 kg\n Factor of Safety: 0.79\n Max Deflection: 9.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.51099650263922, "fos_buckling": 0.7896137593172349, "fos_yielding": 1.512264098361547, "deflection": 0.0099003711245314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3244": { "node_id": "node_3244", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 212.32 kg\n Factor of Safety: 0.94\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.3179318001782, "fos_buckling": 0.9386730458950163, "fos_yielding": 1.848752427176928, "deflection": 0.008111980546829987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_3243", "improvement_over_parent": null }, "node_3245": { "node_id": "node_3245", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n\nPerformance:\n Mass: 232.50 kg\n Factor of Safety: 0.97\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.50472567719746, "fos_buckling": 0.9698897001721546, "fos_yielding": 1.8484877199415166, "deflection": 0.007239251018992193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004000)" }, "parent_node_id": "node_3244", "improvement_over_parent": null }, "node_3246": { "node_id": "node_3246", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n Mass: 251.76 kg\n Factor of Safety: 1.30\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.76457587061583, "fos_buckling": 1.2991664121063378, "fos_yielding": 1.8169995109688137, "deflection": 0.00618760307451538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003907)" }, "parent_node_id": "node_3245", "improvement_over_parent": null }, "node_3247": { "node_id": "node_3247", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.35 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.34779247904044, "fos_buckling": 1.5138120994390283, "fos_yielding": 2.186700976840174, "deflection": 0.005155626271418702, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_3246", "improvement_over_parent": null }, "node_3248": { "node_id": "node_3248", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3247", "improvement_over_parent": null }, "node_3249": { "node_id": "node_3249", "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 288.76 kg\n Factor of Safety: 1.21\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.7561356420438, "fos_buckling": 1.2061972037260469, "fos_yielding": 2.117266188834108, "deflection": 0.005343929201179408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3250": { "node_id": "node_3250", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.97 kg\n Factor of Safety: 1.28\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.9722513910531, "fos_buckling": 1.283321840483771, "fos_yielding": 2.1320354456540485, "deflection": 0.005267300869117299, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.572)" }, "parent_node_id": "node_3249", "improvement_over_parent": null }, "node_3251": { "node_id": "node_3251", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.78 kg\n Factor of Safety: 1.36\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.7765073701936, "fos_buckling": 1.358925940580617, "fos_yielding": 2.1900552129246758, "deflection": 0.005219752122800982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3250", "improvement_over_parent": null }, "node_3252": { "node_id": "node_3252", "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0057)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.35\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.3283682509406, "fos_buckling": 1.352377639922298, "fos_yielding": 2.175873816232981, "deflection": 0.005191238646798965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.351)" }, "parent_node_id": "node_3251", "improvement_over_parent": null }, "node_3253": { "node_id": "node_3253", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3252", "improvement_over_parent": null }, "node_3254": { "node_id": "node_3254", "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3255": { "node_id": "node_3255", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 200.71 kg\n Factor of Safety: 0.25\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.71466929323378, "fos_buckling": 0.24856820733219126, "fos_yielding": 0.7198299264979967, "deflection": 0.03150379965181505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003732)" }, "parent_node_id": "node_3254", "improvement_over_parent": null }, "node_3256": { "node_id": "node_3256", "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 205.91 kg\n Factor of Safety: 0.25\n Max Deflection: 2.99e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.9062138582202, "fos_buckling": 0.2484708669871546, "fos_yielding": 0.7195598818264085, "deflection": 0.029867998973245956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.661)" }, "parent_node_id": "node_3255", "improvement_over_parent": null }, "node_3257": { "node_id": "node_3257", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 259.21 kg\n Factor of Safety: 0.30\n Max Deflection: 2.38e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.21343219920794, "fos_buckling": 0.3012558808097604, "fos_yielding": 0.9045051409431583, "deflection": 0.023782329335743427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_3256", "improvement_over_parent": null }, "node_3258": { "node_id": "node_3258", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 261.57 kg\n Factor of Safety: 0.30\n Max Deflection: 2.37e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.5674229721931, "fos_buckling": 0.3012558808097602, "fos_yielding": 0.9154476749459559, "deflection": 0.02372053074520002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.250)" }, "parent_node_id": "node_3257", "improvement_over_parent": null }, "node_3259": { "node_id": "node_3259", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 267.14 kg\n Factor of Safety: 0.49\n Max Deflection: 9.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.14162263716935, "fos_buckling": 0.49347530301954945, "fos_yielding": 1.676695091188618, "deflection": 0.009482091780187218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3258", "improvement_over_parent": null }, "node_3260": { "node_id": "node_3260", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.52 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.52402009264847, "fos_buckling": 1.5142552106511806, "fos_yielding": 2.1877645157177805, "deflection": 0.005153070141123607, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3259", "improvement_over_parent": null }, "node_3261": { "node_id": "node_3261", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3260", "improvement_over_parent": null }, "node_3262": { "node_id": "node_3262", "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 227.16 kg\n Factor of Safety: 0.94\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.15706065281037, "fos_buckling": 0.938808095873805, "fos_yielding": 1.8240911090610719, "deflection": 0.007256700124015595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3263": { "node_id": "node_3263", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 228.50 kg\n Factor of Safety: 0.94\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.5035399281329, "fos_buckling": 0.9386198224496765, "fos_yielding": 1.824691202716816, "deflection": 0.007238596690346426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.441)" }, "parent_node_id": "node_3262", "improvement_over_parent": null }, "node_3264": { "node_id": "node_3264", "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 232.07 kg\n Factor of Safety: 0.94\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 232.07023357451573, "fos_buckling": 0.9382460077988752, "fos_yielding": 1.8229484368165347, "deflection": 0.007190433251027625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.244)" }, "parent_node_id": "node_3263", "improvement_over_parent": null }, "node_3265": { "node_id": "node_3265", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 248.57 kg\n Factor of Safety: 1.27\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.5661500300347, "fos_buckling": 1.2709995051042222, "fos_yielding": 1.8208378578942384, "deflection": 0.0062371594325025615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003223)" }, "parent_node_id": "node_3264", "improvement_over_parent": null }, "node_3266": { "node_id": "node_3266", "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0046)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n\nPerformance:\n Mass: 252.33 kg\n Factor of Safety: 1.27\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.32778906546764, "fos_buckling": 1.2690275536295372, "fos_yielding": 1.8220028775639634, "deflection": 0.0062078008624395055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.245)" }, "parent_node_id": "node_3265", "improvement_over_parent": null }, "node_3267": { "node_id": "node_3267", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.48\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.2951241035456, "fos_buckling": 1.476459487267906, "fos_yielding": 2.1877297003056557, "deflection": 0.005183908481342819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_3266", "improvement_over_parent": null }, "node_3268": { "node_id": "node_3268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3267", "improvement_over_parent": null }, "node_3269": { "node_id": "node_3269", "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 201.25 kg\n Factor of Safety: 0.85\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.25172727222457, "fos_buckling": 0.8486640006014293, "fos_yielding": 1.6013688682725415, "deflection": 0.0081874925118841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3270": { "node_id": "node_3270", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n\nPerformance:\n Mass: 219.23 kg\n Factor of Safety: 1.01\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.22874953422652, "fos_buckling": 1.0103148904744763, "fos_yielding": 1.5995012838439129, "deflection": 0.007044805518020132, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003532)" }, "parent_node_id": "node_3269", "improvement_over_parent": null }, "node_3271": { "node_id": "node_3271", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n\nPerformance:\n Mass: 265.76 kg\n Factor of Safety: 1.20\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.763013620763, "fos_buckling": 1.197158775044985, "fos_yielding": 1.9366616796435854, "deflection": 0.005832472661106188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_3270", "improvement_over_parent": null }, "node_3272": { "node_id": "node_3272", "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0059)]\n\nPerformance:\n Mass: 272.87 kg\n Factor of Safety: 1.20\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 272.868910372043, "fos_buckling": 1.197166152148372, "fos_yielding": 1.9363917398906436, "deflection": 0.005761022915922643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.366)" }, "parent_node_id": "node_3271", "improvement_over_parent": null }, "node_3273": { "node_id": "node_3273", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0067)]\n\nPerformance:\n Mass: 304.82 kg\n Factor of Safety: 1.32\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 304.82150925668293, "fos_buckling": 1.3172647630283538, "fos_yielding": 2.1623388096809375, "deflection": 0.005168481185847556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_3272", "improvement_over_parent": null }, "node_3274": { "node_id": "node_3274", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3273", "improvement_over_parent": null }, "node_3275": { "node_id": "node_3275", "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 227.59 kg\n Factor of Safety: 0.97\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.59217576201843, "fos_buckling": 0.9721451025245074, "fos_yielding": 1.2262888590393768, "deflection": 0.006896770819166426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3276": { "node_id": "node_3276", "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.38 kg\n Factor of Safety: 0.97\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.37591159936417, "fos_buckling": 0.9709672279844769, "fos_yielding": 1.2248030577716087, "deflection": 0.006662685453673501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.230)" }, "parent_node_id": "node_3275", "improvement_over_parent": null }, "node_3277": { "node_id": "node_3277", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 294.13 kg\n Factor of Safety: 1.21\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 294.1254569384696, "fos_buckling": 1.2080427094037833, "fos_yielding": 1.56415128372045, "deflection": 0.005266138577941249, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_3276", "improvement_over_parent": null }, "node_3278": { "node_id": "node_3278", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.24 kg\n Factor of Safety: 1.21\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.24229605960727, "fos_buckling": 1.2096246676115263, "fos_yielding": 1.5661995738530519, "deflection": 0.005216612610861671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.473)" }, "parent_node_id": "node_3277", "improvement_over_parent": null }, "node_3279": { "node_id": "node_3279", "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.34 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.33696703629465, "fos_buckling": 1.5138448672361122, "fos_yielding": 2.1857270831229423, "deflection": 0.005156032737184376, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.453)" }, "parent_node_id": "node_3278", "improvement_over_parent": null }, "node_3280": { "node_id": "node_3280", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3279", "improvement_over_parent": null }, "node_3281": { "node_id": "node_3281", "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n\nPerformance:\n Mass: 187.36 kg\n Factor of Safety: 0.40\n Max Deflection: 9.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.3618268837837, "fos_buckling": 0.3998706577943416, "fos_yielding": 1.165681699791004, "deflection": 0.009670544708883486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3282": { "node_id": "node_3282", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 222.03 kg\n Factor of Safety: 0.46\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.0346971512969, "fos_buckling": 0.46086064473271876, "fos_yielding": 1.3852936142014705, "deflection": 0.008193129776169313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_3281", "improvement_over_parent": null }, "node_3283": { "node_id": "node_3283", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 243.60 kg\n Factor of Safety: 0.99\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.60429717356274, "fos_buckling": 0.9871195145211908, "fos_yielding": 1.3879902546592247, "deflection": 0.006585121487819605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004155)" }, "parent_node_id": "node_3282", "improvement_over_parent": null }, "node_3284": { "node_id": "node_3284", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 251.03 kg\n Factor of Safety: 1.02\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.03025834379835, "fos_buckling": 1.0165974872349255, "fos_yielding": 1.4294392770439361, "deflection": 0.0062619445481228555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.348)" }, "parent_node_id": "node_3283", "improvement_over_parent": null }, "node_3285": { "node_id": "node_3285", "content": "MODIFICATION: Increase 6 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 253.63 kg\n Factor of Safety: 1.31\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.63268193348793, "fos_buckling": 1.3075994942568334, "fos_yielding": 1.8300251208605334, "deflection": 0.006143155959781551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.524)" }, "parent_node_id": "node_3284", "improvement_over_parent": null }, "node_3286": { "node_id": "node_3286", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.29 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.28727020269434, "fos_buckling": 1.5139570805467666, "fos_yielding": 2.1858245292002234, "deflection": 0.005156839456071734, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_3285", "improvement_over_parent": null }, "node_3287": { "node_id": "node_3287", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3286", "improvement_over_parent": null }, "node_3288": { "node_id": "node_3288", "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 139.69 kg\n Factor of Safety: 0.64\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.6921246165582, "fos_buckling": 0.6360008463463755, "fos_yielding": 1.087149695710844, "deflection": 0.011637874074624632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3289": { "node_id": "node_3289", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0024)]\n\nPerformance:\n Mass: 145.01 kg\n Factor of Safety: 0.65\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.01036913452438, "fos_buckling": 0.6469869543659073, "fos_yielding": 1.087310734556911, "deflection": 0.010961153737935443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.435)" }, "parent_node_id": "node_3288", "improvement_over_parent": null }, "node_3290": { "node_id": "node_3290", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 184.49 kg\n Factor of Safety: 0.81\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.49156557582668, "fos_buckling": 0.8098793869716994, "fos_yielding": 1.3816273246847661, "deflection": 0.008638198035293738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_3289", "improvement_over_parent": null }, "node_3291": { "node_id": "node_3291", "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 189.70 kg\n Factor of Safety: 1.01\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.7011997435156, "fos_buckling": 1.0080684284493473, "fos_yielding": 1.3848133915676395, "deflection": 0.00815651924670019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.488)" }, "parent_node_id": "node_3290", "improvement_over_parent": null }, "node_3292": { "node_id": "node_3292", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.20\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.35958250607644, "fos_buckling": 1.197575391062594, "fos_yielding": 1.6871066703021753, "deflection": 0.006709339952386547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3291", "improvement_over_parent": null }, "node_3293": { "node_id": "node_3293", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.56 kg\n Factor of Safety: 1.49\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.5580544919195, "fos_buckling": 1.487514027950006, "fos_yielding": 2.1877813645993704, "deflection": 0.005192095668896126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_3292", "improvement_over_parent": null }, "node_3294": { "node_id": "node_3294", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.51 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5140580546183, "fos_buckling": 1.514289754697239, "fos_yielding": 2.1876153179030244, "deflection": 0.005153146752887986, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.229)" }, "parent_node_id": "node_3293", "improvement_over_parent": null }, "node_3295": { "node_id": "node_3295", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3294", "improvement_over_parent": null }, "node_3296": { "node_id": "node_3296", "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 129.64 kg\n Factor of Safety: 0.03\n Max Deflection: 9.25e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.63905156289437, "fos_buckling": 0.030701333740152364, "fos_yielding": 0.14860709519394188, "deflection": 92477878974503.17, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3297": { "node_id": "node_3297", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0028)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 0.49\n Max Deflection: 1.82e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.87315081690974, "fos_buckling": 0.48820675166188543, "fos_yielding": 0.5944283807757675, "deflection": 18232998012771.09, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.185)" }, "parent_node_id": "node_3296", "improvement_over_parent": null }, "node_3298": { "node_id": "node_3298", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n\nPerformance:\n Mass: 161.97 kg\n Factor of Safety: 1.13\n Max Deflection: 1.77e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.97399293862134, "fos_buckling": 1.1285216285775954, "fos_yielding": 1.4829815506090547, "deflection": 17676654868017.887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_3297", "improvement_over_parent": null }, "node_3299": { "node_id": "node_3299", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n\nPerformance:\n Mass: 190.85 kg\n Factor of Safety: 0.81\n Max Deflection: 8.20e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.85145192729703, "fos_buckling": 0.8087970181194665, "fos_yielding": 1.68046932754213, "deflection": 8196810216250.267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004665)" }, "parent_node_id": "node_3298", "improvement_over_parent": null }, "node_3300": { "node_id": "node_3300", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 211.32 kg\n Factor of Safety: 0.89\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.32467805244733, "fos_buckling": 0.8942611365492803, "fos_yielding": 1.9003004068410545, "deflection": 0.008047100120908094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003928)" }, "parent_node_id": "node_3299", "improvement_over_parent": null }, "node_3301": { "node_id": "node_3301", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 266.19 kg\n Factor of Safety: 1.08\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 266.18977147467535, "fos_buckling": 1.077647070787379, "fos_yielding": 2.3927666197227278, "deflection": 0.006419531867082059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_3300", "improvement_over_parent": null }, "node_3302": { "node_id": "node_3302", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 290.53 kg\n Factor of Safety: 1.08\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.53089948005226, "fos_buckling": 1.075738549208025, "fos_yielding": 2.3927666197227264, "deflection": 0.005584071625878569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3301", "improvement_over_parent": null }, "node_3303": { "node_id": "node_3303", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 303.22 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.21927073854084, "fos_buckling": 1.5137777395170169, "fos_yielding": 2.18486289174949, "deflection": 0.0051582989162945354, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_3302", "improvement_over_parent": null }, "node_3304": { "node_id": "node_3304", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3303", "improvement_over_parent": null }, "node_3305": { "node_id": "node_3305", "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 227.08 kg\n Factor of Safety: 1.03\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 227.07998891970064, "fos_buckling": 1.032240821672905, "fos_yielding": 1.7072604196465806, "deflection": 0.006858857806905584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3306": { "node_id": "node_3306", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 283.62 kg\n Factor of Safety: 1.26\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.6203020150276, "fos_buckling": 1.2585893288047412, "fos_yielding": 2.127301926393089, "deflection": 0.00551309012250111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_3305", "improvement_over_parent": null }, "node_3307": { "node_id": "node_3307", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 286.46 kg\n Factor of Safety: 1.22\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.4588931125609, "fos_buckling": 1.22360388364185, "fos_yielding": 2.1202715081210224, "deflection": 0.005480968754880368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.199)" }, "parent_node_id": "node_3306", "improvement_over_parent": null }, "node_3308": { "node_id": "node_3308", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 289.26 kg\n Factor of Safety: 1.34\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 289.2631490917014, "fos_buckling": 1.3354301196494074, "fos_yielding": 2.177011016874866, "deflection": 0.0054305385719800965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3307", "improvement_over_parent": null }, "node_3309": { "node_id": "node_3309", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.33\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 293.21658328412695, "fos_buckling": 1.330766745089109, "fos_yielding": 2.1768309482524164, "deflection": 0.0053925393587763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.182)" }, "parent_node_id": "node_3308", "improvement_over_parent": null }, "node_3310": { "node_id": "node_3310", "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 298.09 kg\n Factor of Safety: 1.33\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 298.0936208554548, "fos_buckling": 1.3250449695935764, "fos_yielding": 2.163817146367151, "deflection": 0.005363802340612224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.307)" }, "parent_node_id": "node_3309", "improvement_over_parent": null }, "node_3311": { "node_id": "node_3311", "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 300.87 kg\n Factor of Safety: 1.33\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.87372178892736, "fos_buckling": 1.3313796451625193, "fos_yielding": 2.1752787612354676, "deflection": 0.005331081404847609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.199)" }, "parent_node_id": "node_3310", "improvement_over_parent": null }, "node_3312": { "node_id": "node_3312", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0058)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0055)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 301.89 kg\n Factor of Safety: 1.36\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.8898458838745, "fos_buckling": 1.3644700565834498, "fos_yielding": 2.176136345801155, "deflection": 0.005283496995206556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.245)" }, "parent_node_id": "node_3311", "improvement_over_parent": null }, "node_3313": { "node_id": "node_3313", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3312", "improvement_over_parent": null }, "node_3314": { "node_id": "node_3314", "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n\nPerformance:\n Mass: 136.52 kg\n Factor of Safety: 0.24\n Max Deflection: 7.01e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.51579208965816, "fos_buckling": 0.2442095972357298, "fos_yielding": 0.9510854092412279, "deflection": 7007470780168.567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3315": { "node_id": "node_3315", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0037)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0033)]\n\nPerformance:\n Mass: 154.04 kg\n Factor of Safety: 0.32\n Max Deflection: 2.21e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.03553776189744, "fos_buckling": 0.3227348977863786, "fos_yielding": 0.7433732470290004, "deflection": 0.0221073714845685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003326)" }, "parent_node_id": "node_3314", "improvement_over_parent": null }, "node_3316": { "node_id": "node_3316", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 191.73 kg\n Factor of Safety: 0.39\n Max Deflection: 1.78e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.7302728750911, "fos_buckling": 0.38925700571918576, "fos_yielding": 0.921230912615235, "deflection": 0.017817361622292756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3315", "improvement_over_parent": null }, "node_3317": { "node_id": "node_3317", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n\nPerformance:\n Mass: 213.80 kg\n Factor of Safety: 0.43\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.79800374192632, "fos_buckling": 0.4300799305344222, "fos_yielding": 1.1713972830040535, "deflection": 0.012134196998401937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004543)" }, "parent_node_id": "node_3316", "improvement_over_parent": null }, "node_3318": { "node_id": "node_3318", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n\nPerformance:\n Mass: 224.53 kg\n Factor of Safety: 0.43\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.53079281901228, "fos_buckling": 0.42990800995652895, "fos_yielding": 1.1937638351551028, "deflection": 0.01159088996754561, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003168)" }, "parent_node_id": "node_3317", "improvement_over_parent": null }, "node_3319": { "node_id": "node_3319", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 265.44 kg\n Factor of Safety: 0.49\n Max Deflection: 9.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.43599410610756, "fos_buckling": 0.4929907161495085, "fos_yielding": 1.4155582918937983, "deflection": 0.00982734492157348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_3318", "improvement_over_parent": null }, "node_3320": { "node_id": "node_3320", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 301.82 kg\n Factor of Safety: 1.40\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.8183915615867, "fos_buckling": 1.4045633295843143, "fos_yielding": 2.1846492095521284, "deflection": 0.005219481899889601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3319", "improvement_over_parent": null }, "node_3321": { "node_id": "node_3321", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0064)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 305.52 kg\n Factor of Safety: 1.41\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 305.52417896579226, "fos_buckling": 1.4097777236944862, "fos_yielding": 2.5022592367465855, "deflection": 0.0051804281905520715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.401)" }, "parent_node_id": "node_3320", "improvement_over_parent": null }, "node_3322": { "node_id": "node_3322", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3321", "improvement_over_parent": null }, "node_3323": { "node_id": "node_3323", "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 0.33\n Max Deflection: 2.44e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.2435900196651, "fos_buckling": 0.3286169489798682, "fos_yielding": 1.17757146539954, "deflection": 24436487800252.902, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3324": { "node_id": "node_3324", "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n\nPerformance:\n Mass: 193.02 kg\n Factor of Safety: 0.01\n Max Deflection: 6.05e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.0188675154067, "fos_buckling": 0.01451016577986348, "fos_yielding": 0.04246387292605867, "deflection": 605382263429943.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.488)" }, "parent_node_id": "node_3323", "improvement_over_parent": null }, "node_3325": { "node_id": "node_3325", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0049)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0040)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0048)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0039)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0044)]\n\nPerformance:\n Mass: 215.98 kg\n Factor of Safety: 0.79\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.97532699548864, "fos_buckling": 0.7860291898469941, "fos_yielding": 1.17757146539954, "deflection": 13000747245939.629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004445)" }, "parent_node_id": "node_3324", "improvement_over_parent": null }, "node_3326": { "node_id": "node_3326", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 242.57 kg\n Factor of Safety: 0.15\n Max Deflection: 4.60e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 242.57138633657075, "fos_buckling": 0.1530830440590455, "fos_yielding": 0.6950460944621221, "deflection": 46041874077726.77, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_3325", "improvement_over_parent": null }, "node_3327": { "node_id": "node_3327", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 278.95 kg\n Factor of Safety: 1.09\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 278.9537837920499, "fos_buckling": 1.091606292053471, "fos_yielding": 2.1923991796470332, "deflection": 0.0060819222699402264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)" }, "parent_node_id": "node_3326", "improvement_over_parent": null }, "node_3328": { "node_id": "node_3328", "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 286.63 kg\n Factor of Safety: 1.09\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 286.63339705872767, "fos_buckling": 1.0912953475574139, "fos_yielding": 2.1742761610699333, "deflection": 0.0060467486491521975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.493)" }, "parent_node_id": "node_3327", "improvement_over_parent": null }, "node_3329": { "node_id": "node_3329", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 303.75 kg\n Factor of Safety: 1.28\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.7513522903021, "fos_buckling": 1.2824889171143408, "fos_yielding": 2.17164132788324, "deflection": 0.005209404606044488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)" }, "parent_node_id": "node_3328", "improvement_over_parent": null }, "node_3330": { "node_id": "node_3330", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3329", "improvement_over_parent": null }, "node_3331": { "node_id": "node_3331", "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 210.78 kg\n Factor of Safety: 0.74\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.77739400233153, "fos_buckling": 0.7362191327917649, "fos_yielding": 1.5280942987096853, "deflection": 0.008318776079752201, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3332": { "node_id": "node_3332", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n\nPerformance:\n Mass: 226.64 kg\n Factor of Safety: 0.74\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.63957110436178, "fos_buckling": 0.7447551006812897, "fos_yielding": 1.532956571828755, "deflection": 0.00833187003005805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003425)" }, "parent_node_id": "node_3331", "improvement_over_parent": null }, "node_3333": { "node_id": "node_3333", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 230.99 kg\n Factor of Safety: 0.93\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 230.99112621551012, "fos_buckling": 0.9303431637409061, "fos_yielding": 1.2950335015129242, "deflection": 0.006777109571755069, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002542)" }, "parent_node_id": "node_3332", "improvement_over_parent": null }, "node_3334": { "node_id": "node_3334", "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 233.65 kg\n Factor of Safety: 1.20\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 233.65158835010072, "fos_buckling": 1.201579939001805, "fos_yielding": 1.7102652695361336, "deflection": 0.006643737161505831, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.597)" }, "parent_node_id": "node_3333", "improvement_over_parent": null }, "node_3335": { "node_id": "node_3335", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 236.90 kg\n Factor of Safety: 1.23\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 236.8993116257358, "fos_buckling": 1.234092977246212, "fos_yielding": 1.7100876835393526, "deflection": 0.006568733153303581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.344)" }, "parent_node_id": "node_3334", "improvement_over_parent": null }, "node_3336": { "node_id": "node_3336", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.58 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.5820790512068, "fos_buckling": 1.5147405865953845, "fos_yielding": 2.1881171777545974, "deflection": 0.005151983144751472, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3335", "improvement_over_parent": null }, "node_3337": { "node_id": "node_3337", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3336", "improvement_over_parent": null }, "node_3338": { "node_id": "node_3338", "content": "INITIAL DESIGN (Trace 477)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 217.70 kg\n Factor of Safety: 0.92\n Max Deflection: 7.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 217.70001944131735, "fos_buckling": 0.9170095067417449, "fos_yielding": 1.5195633986499324, "deflection": 0.00794925107419253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3339": { "node_id": "node_3339", "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 219.80 kg\n Factor of Safety: 0.92\n Max Deflection: 7.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 219.80148297424412, "fos_buckling": 0.9170095067417451, "fos_yielding": 1.921362327691568, "deflection": 0.007868511742245064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.406)" }, "parent_node_id": "node_3338", "improvement_over_parent": null }, "node_3340": { "node_id": "node_3340", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0029)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 246.13 kg\n Factor of Safety: 1.01\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 246.13020661094794, "fos_buckling": 1.0074000356802224, "fos_yielding": 2.1498508118759228, "deflection": 0.0070382169621169685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3339", "improvement_over_parent": null }, "node_3341": { "node_id": "node_3341", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n\nPerformance:\n Mass: 250.04 kg\n Factor of Safety: 1.01\n Max Deflection: 6.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 250.03644065751485, "fos_buckling": 1.0071078909132052, "fos_yielding": 2.1498508118759228, "deflection": 0.006980357813689175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.368)" }, "parent_node_id": "node_3340", "improvement_over_parent": null }, "node_3342": { "node_id": "node_3342", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n\nPerformance:\n Mass: 252.56 kg\n Factor of Safety: 1.04\n Max Deflection: 6.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.56435233888064, "fos_buckling": 1.0405999983579461, "fos_yielding": 2.0069884330197314, "deflection": 0.006672839567248748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002106)" }, "parent_node_id": "node_3341", "improvement_over_parent": null }, "node_3343": { "node_id": "node_3343", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0050)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0039)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0049)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0045)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0021)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n Mass: 273.50 kg\n Factor of Safety: 1.39\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 273.4980450765699, "fos_buckling": 1.3916528345965677, "fos_yielding": 1.9727171178938427, "deflection": 0.005705568122764502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004276)" }, "parent_node_id": "node_3342", "improvement_over_parent": null }, "node_3344": { "node_id": "node_3344", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3635790352479, "fos_buckling": 1.5138244152272171, "fos_yielding": 2.186644916706418, "deflection": 0.005155561670589288, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_3343", "improvement_over_parent": null }, "node_3345": { "node_id": "node_3345", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3344", "improvement_over_parent": null }, "node_3346": { "node_id": "node_3346", "content": "INITIAL DESIGN (Trace 478)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.91\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.5831889807018, "fos_buckling": 0.9102951767972677, "fos_yielding": 1.3416401709575645, "deflection": 0.008697962050594353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3347": { "node_id": "node_3347", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 223.82 kg\n Factor of Safety: 1.11\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 223.82224157938157, "fos_buckling": 1.1075325029326095, "fos_yielding": 1.669877131505929, "deflection": 0.007001477163023886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_3346", "improvement_over_parent": null }, "node_3348": { "node_id": "node_3348", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 252.66 kg\n Factor of Safety: 1.23\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.65922197408807, "fos_buckling": 1.230535634612321, "fos_yielding": 1.8833326354721327, "deflection": 0.0062154408328379505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_3347", "improvement_over_parent": null }, "node_3349": { "node_id": "node_3349", "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 256.65 kg\n Factor of Safety: 1.23\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.6453003077492, "fos_buckling": 1.231463003344103, "fos_yielding": 1.8834460597607572, "deflection": 0.006044482895018808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.241)" }, "parent_node_id": "node_3348", "improvement_over_parent": null }, "node_3350": { "node_id": "node_3350", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 300.14 kg\n Factor of Safety: 1.41\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.14251279140456, "fos_buckling": 1.406392930786162, "fos_yielding": 2.20012899940933, "deflection": 0.005186028201693426, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_3349", "improvement_over_parent": null }, "node_3351": { "node_id": "node_3351", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.32 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.31576196630374, "fos_buckling": 1.5136690617211137, "fos_yielding": 2.186206373275664, "deflection": 0.005156408269981396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.366)" }, "parent_node_id": "node_3350", "improvement_over_parent": null }, "node_3352": { "node_id": "node_3352", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3351", "improvement_over_parent": null }, "node_3353": { "node_id": "node_3353", "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 209.89 kg\n Factor of Safety: 1.13\n Max Deflection: 7.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.88939579889254, "fos_buckling": 1.1272593970823983, "fos_yielding": 1.5249080452224228, "deflection": 0.007379700002468005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3354": { "node_id": "node_3354", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0031)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n\nPerformance:\n Mass: 213.09 kg\n Factor of Safety: 1.13\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.09299310518705, "fos_buckling": 1.1268587340317284, "fos_yielding": 1.5390581980918114, "deflection": 0.00728937182704686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.357)" }, "parent_node_id": "node_3353", "improvement_over_parent": null }, "node_3355": { "node_id": "node_3355", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 238.12 kg\n Factor of Safety: 1.24\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.11919063058897, "fos_buckling": 1.239447064470371, "fos_yielding": 1.7188276096980992, "deflection": 0.006535747129821481, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_3354", "improvement_over_parent": null }, "node_3356": { "node_id": "node_3356", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.20 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.19954782203837, "fos_buckling": 1.5131677725094614, "fos_yielding": 2.185356799316278, "deflection": 0.005158376478545153, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3355", "improvement_over_parent": null }, "node_3357": { "node_id": "node_3357", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3356", "improvement_over_parent": null }, "node_3358": { "node_id": "node_3358", "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0035)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 225.09 kg\n Factor of Safety: 0.97\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.08965182900567, "fos_buckling": 0.967685700111784, "fos_yielding": 1.6794140063866771, "deflection": 0.0072966907295264494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3359": { "node_id": "node_3359", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 228.74 kg\n Factor of Safety: 1.02\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 228.73818340815384, "fos_buckling": 1.0163402291719095, "fos_yielding": 1.6889686689564758, "deflection": 0.0070816349958039695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.229)" }, "parent_node_id": "node_3358", "improvement_over_parent": null }, "node_3360": { "node_id": "node_3360", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 231.46 kg\n Factor of Safety: 1.01\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 231.46228943533825, "fos_buckling": 1.013927001062772, "fos_yielding": 1.6885139270614553, "deflection": 0.007014200439216338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.176)" }, "parent_node_id": "node_3359", "improvement_over_parent": null }, "node_3361": { "node_id": "node_3361", "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 239.10 kg\n Factor of Safety: 1.02\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.10445449178076, "fos_buckling": 1.0233356030012877, "fos_yielding": 1.6902761010107064, "deflection": 0.006539381955371931, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.645)" }, "parent_node_id": "node_3360", "improvement_over_parent": null }, "node_3362": { "node_id": "node_3362", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 241.33 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.33436970683175, "fos_buckling": 1.2533375149398984, "fos_yielding": 1.7419036098494594, "deflection": 0.00644962923846619, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001839)" }, "parent_node_id": "node_3361", "improvement_over_parent": null }, "node_3363": { "node_id": "node_3363", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 303.33 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.32709701933595, "fos_buckling": 1.5133484193688, "fos_yielding": 2.186263981212769, "deflection": 0.005155768170599477, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3362", "improvement_over_parent": null }, "node_3364": { "node_id": "node_3364", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3363", "improvement_over_parent": null }, "node_3365": { "node_id": "node_3365", "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0038)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 225.90 kg\n Factor of Safety: 0.47\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.901870171935, "fos_buckling": 0.4683411328308864, "fos_yielding": 1.5769823938559346, "deflection": 0.008033556926756289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3366": { "node_id": "node_3366", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 265.11 kg\n Factor of Safety: 0.53\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.1100842346269, "fos_buckling": 0.5322408400524891, "fos_yielding": 1.8469339826099802, "deflection": 0.006876422146191287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_3365", "improvement_over_parent": null }, "node_3367": { "node_id": "node_3367", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 290.90 kg\n Factor of Safety: 1.17\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 290.9007117770409, "fos_buckling": 1.1671467202647898, "fos_yielding": 2.185673268051257, "deflection": 0.005552345307796771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_3366", "improvement_over_parent": null }, "node_3368": { "node_id": "node_3368", "content": "MODIFICATION: Increase 10 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.30 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.29704069273157, "fos_buckling": 1.5136436684136934, "fos_yielding": 2.186017196897963, "deflection": 0.005156750445777666, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.567)" }, "parent_node_id": "node_3367", "improvement_over_parent": null }, "node_3369": { "node_id": "node_3369", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3368", "improvement_over_parent": null }, "node_3370": { "node_id": "node_3370", "content": "INITIAL DESIGN (Trace 482)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0038)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 209.84 kg\n Factor of Safety: 0.93\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.83868483111976, "fos_buckling": 0.9307661070422587, "fos_yielding": 1.5305732400805507, "deflection": 0.007432799497772185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3371": { "node_id": "node_3371", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 238.18 kg\n Factor of Safety: 1.04\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.1800217822132, "fos_buckling": 1.043175545702369, "fos_yielding": 1.7377122067716606, "deflection": 0.006561912940531195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_3370", "improvement_over_parent": null }, "node_3372": { "node_id": "node_3372", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 239.31 kg\n Factor of Safety: 1.04\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.31099249534523, "fos_buckling": 1.0424374546648707, "fos_yielding": 1.782132707365523, "deflection": 0.006519887534316079, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.186)" }, "parent_node_id": "node_3371", "improvement_over_parent": null }, "node_3373": { "node_id": "node_3373", "content": "MODIFICATION: Increase 5 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0043)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0039)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0040)]\n\nPerformance:\n Mass: 243.16 kg\n Factor of Safety: 1.14\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.15665810818712, "fos_buckling": 1.1354083648076259, "fos_yielding": 1.7631012701292832, "deflection": 0.006456298493230658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.647)" }, "parent_node_id": "node_3372", "improvement_over_parent": null }, "node_3374": { "node_id": "node_3374", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.65 kg\n Factor of Safety: 1.38\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.6510247051625, "fos_buckling": 1.3828215162604418, "fos_yielding": 2.1841783445746437, "deflection": 0.005226121402328683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_3373", "improvement_over_parent": null }, "node_3375": { "node_id": "node_3375", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.23 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.22744607948124, "fos_buckling": 1.5132785901734633, "fos_yielding": 2.1855527536209984, "deflection": 0.0051579187860369, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.433)" }, "parent_node_id": "node_3374", "improvement_over_parent": null }, "node_3376": { "node_id": "node_3376", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3375", "improvement_over_parent": null }, "node_3377": { "node_id": "node_3377", "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n\nPerformance:\n Mass: 172.91 kg\n Factor of Safety: 0.81\n Max Deflection: 9.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.91400798384652, "fos_buckling": 0.8051370562507651, "fos_yielding": 1.0317719701715953, "deflection": 0.009008144343626847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3378": { "node_id": "node_3378", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0025)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n\nPerformance:\n Mass: 174.54 kg\n Factor of Safety: 0.85\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.53657387469755, "fos_buckling": 0.8547109195733544, "fos_yielding": 1.0657180810329236, "deflection": 0.00887313551909602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001312)" }, "parent_node_id": "node_3377", "improvement_over_parent": null }, "node_3379": { "node_id": "node_3379", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0030)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n\nPerformance:\n Mass: 210.99 kg\n Factor of Safety: 1.02\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.99475570028778, "fos_buckling": 1.016877241397013, "fos_yielding": 1.2896173010513616, "deflection": 0.007360413862203981, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_3378", "improvement_over_parent": null }, "node_3380": { "node_id": "node_3380", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 234.03 kg\n Factor of Safety: 1.12\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.03453034964386, "fos_buckling": 1.1164254237017848, "fos_yielding": 1.4313999963758377, "deflection": 0.0066474797412621545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_3379", "improvement_over_parent": null }, "node_3381": { "node_id": "node_3381", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0042)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0041)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0055)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n\nPerformance:\n Mass: 239.43 kg\n Factor of Safety: 1.12\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.42572587802246, "fos_buckling": 1.1164777413504121, "fos_yielding": 1.431467074284013, "deflection": 0.0064687311124780695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.208)" }, "parent_node_id": "node_3380", "improvement_over_parent": null }, "node_3382": { "node_id": "node_3382", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0072)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 308.18 kg\n Factor of Safety: 1.39\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 308.1829194640833, "fos_buckling": 1.3946677295443068, "fos_yielding": 1.8478080279905857, "deflection": 0.005052164134674156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_3381", "improvement_over_parent": null }, "node_3383": { "node_id": "node_3383", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3382", "improvement_over_parent": null }, "node_3384": { "node_id": "node_3384", "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 220.88 kg\n Factor of Safety: 0.87\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 220.88321528437294, "fos_buckling": 0.8654036504679151, "fos_yielding": 1.1973791520678034, "deflection": 0.007068257005558362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3385": { "node_id": "node_3385", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 222.97 kg\n Factor of Safety: 0.87\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 222.96523819650994, "fos_buckling": 0.8653306696315809, "fos_yielding": 1.1972781752208952, "deflection": 0.0070350982150335275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.299)" }, "parent_node_id": "node_3384", "improvement_over_parent": null }, "node_3386": { "node_id": "node_3386", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 225.68 kg\n Factor of Safety: 1.18\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 225.6836605471149, "fos_buckling": 1.1750161944252542, "fos_yielding": 1.6430044826773167, "deflection": 0.006876462483776839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.656)" }, "parent_node_id": "node_3385", "improvement_over_parent": null }, "node_3387": { "node_id": "node_3387", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 253.09 kg\n Factor of Safety: 1.29\n Max Deflection: 6.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.0927208554181, "fos_buckling": 1.294835211215914, "fos_yielding": 1.8412637529519462, "deflection": 0.006144691298424974, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_3386", "improvement_over_parent": null }, "node_3388": { "node_id": "node_3388", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.06 kg\n Factor of Safety: 1.49\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.06006120090774, "fos_buckling": 1.4928367834416265, "fos_yielding": 2.18755176723963, "deflection": 0.005184690827075043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_3387", "improvement_over_parent": null }, "node_3389": { "node_id": "node_3389", "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.49 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4932069575691, "fos_buckling": 1.514399124026482, "fos_yielding": 2.187417392577845, "deflection": 0.0051534500193429, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.182)" }, "parent_node_id": "node_3388", "improvement_over_parent": null }, "node_3390": { "node_id": "node_3390", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3389", "improvement_over_parent": null }, "node_3391": { "node_id": "node_3391", "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3392": { "node_id": "node_3392", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 256.49 kg\n Factor of Safety: 0.45\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.4949463112445, "fos_buckling": 0.4455978505642825, "fos_yielding": 1.084826808996006, "deflection": 0.012564503984688856, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)" }, "parent_node_id": "node_3391", "improvement_over_parent": null }, "node_3393": { "node_id": "node_3393", "content": "MODIFICATION: Increase 2 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n\nPerformance:\n Mass: 259.29 kg\n Factor of Safety: 0.45\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 259.2874539438349, "fos_buckling": 0.4455516138959849, "fos_yielding": 1.0843801038494243, "deflection": 0.01238201832540454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.200)" }, "parent_node_id": "node_3392", "improvement_over_parent": null }, "node_3394": { "node_id": "node_3394", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.32 kg\n Factor of Safety: 0.45\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.31922062906466, "fos_buckling": 0.4452532855718618, "fos_yielding": 1.4209774714123582, "deflection": 0.010714661981581775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)" }, "parent_node_id": "node_3393", "improvement_over_parent": null }, "node_3395": { "node_id": "node_3395", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4070129118408, "fos_buckling": 1.5140717507378578, "fos_yielding": 2.186915807389298, "deflection": 0.005154796798396654, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)" }, "parent_node_id": "node_3394", "improvement_over_parent": null }, "node_3396": { "node_id": "node_3396", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3395", "improvement_over_parent": null }, "node_3397": { "node_id": "node_3397", "content": "INITIAL DESIGN (Trace 486)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0025)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0013)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0027)]\n\nPerformance:\n Mass: 154.19 kg\n Factor of Safety: 0.56\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.19225537548465, "fos_buckling": 0.5606092157868371, "fos_yielding": 1.0153656299709692, "deflection": 0.012337201617273327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3398": { "node_id": "node_3398", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 197.67 kg\n Factor of Safety: 0.70\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.66939672607552, "fos_buckling": 0.7016382948391496, "fos_yielding": 1.3034438295696171, "deflection": 0.009642009858110484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3397", "improvement_over_parent": null }, "node_3399": { "node_id": "node_3399", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n\nPerformance:\n Mass: 224.70 kg\n Factor of Safety: 0.79\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.6952305414764, "fos_buckling": 0.7854678451856159, "fos_yielding": 1.483011654226126, "deflection": 0.008492144449759896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_3398", "improvement_over_parent": null }, "node_3400": { "node_id": "node_3400", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 229.29 kg\n Factor of Safety: 0.93\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.2882297654581, "fos_buckling": 0.9310653004639087, "fos_yielding": 1.5022954917358717, "deflection": 0.00784672119359495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002694)" }, "parent_node_id": "node_3399", "improvement_over_parent": null }, "node_3401": { "node_id": "node_3401", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 243.40 kg\n Factor of Safety: 1.16\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 243.39704379992628, "fos_buckling": 1.1639446025831024, "fos_yielding": 1.500269957841238, "deflection": 0.006518679431433606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003578)" }, "parent_node_id": "node_3400", "improvement_over_parent": null }, "node_3402": { "node_id": "node_3402", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0045)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0035)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n\nPerformance:\n Mass: 247.55 kg\n Factor of Safety: 1.16\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 247.54593666513182, "fos_buckling": 1.1638347614565463, "fos_yielding": 1.500128377784986, "deflection": 0.006453445488958657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.227)" }, "parent_node_id": "node_3401", "improvement_over_parent": null }, "node_3403": { "node_id": "node_3403", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 300.51 kg\n Factor of Safety: 1.38\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 300.51266654257967, "fos_buckling": 1.3799410604018039, "fos_yielding": 1.8248902990509095, "deflection": 0.005334217892363927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3402", "improvement_over_parent": null }, "node_3404": { "node_id": "node_3404", "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0037)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n\nPerformance:\n Mass: 306.61 kg\n Factor of Safety: 1.38\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 306.61306252192657, "fos_buckling": 1.3800637562206266, "fos_yielding": 1.8250525570023024, "deflection": 0.00514102013965988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.344)" }, "parent_node_id": "node_3403", "improvement_over_parent": null }, "node_3405": { "node_id": "node_3405", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3404", "improvement_over_parent": null }, "node_3406": { "node_id": "node_3406", "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 256.98 kg\n Factor of Safety: 0.91\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.9755526497391, "fos_buckling": 0.9076592901312166, "fos_yielding": 2.1616280684944855, "deflection": 0.006548151245110514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3407": { "node_id": "node_3407", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n\nPerformance:\n Mass: 281.32 kg\n Factor of Safety: 0.91\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 281.316680655116, "fos_buckling": 0.9059899762483802, "fos_yielding": 2.16115254372556, "deflection": 0.005630581338525547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)" }, "parent_node_id": "node_3406", "improvement_over_parent": null }, "node_3408": { "node_id": "node_3408", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 301.63 kg\n Factor of Safety: 1.33\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.6300155371428, "fos_buckling": 1.333537065382724, "fos_yielding": 2.1853131050750205, "deflection": 0.005235252514497943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)" }, "parent_node_id": "node_3407", "improvement_over_parent": null }, "node_3409": { "node_id": "node_3409", "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4102475086801, "fos_buckling": 1.5140225595413783, "fos_yielding": 2.1869367096121954, "deflection": 0.005154852475022608, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.515)" }, "parent_node_id": "node_3408", "improvement_over_parent": null }, "node_3410": { "node_id": "node_3410", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3409", "improvement_over_parent": null }, "node_3411": { "node_id": "node_3411", "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 267.10 kg\n Factor of Safety: 0.53\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 267.09963774304697, "fos_buckling": 0.5329094181936883, "fos_yielding": 1.8487403822854955, "deflection": 0.0077574342441654185, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3412": { "node_id": "node_3412", "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 270.93 kg\n Factor of Safety: 0.53\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 270.9331637220376, "fos_buckling": 0.5324622273920913, "fos_yielding": 1.8483867361119273, "deflection": 0.0077787011519734215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.217)" }, "parent_node_id": "node_3411", "improvement_over_parent": null }, "node_3413": { "node_id": "node_3413", "content": "MODIFICATION: Increase 14 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 277.62 kg\n Factor of Safety: 0.53\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.6207090000046, "fos_buckling": 0.5319430907255188, "fos_yielding": 1.8473592842639626, "deflection": 0.006705352277813851, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.647)" }, "parent_node_id": "node_3412", "improvement_over_parent": null }, "node_3414": { "node_id": "node_3414", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.41 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41133654241855, "fos_buckling": 1.5140758394055842, "fos_yielding": 2.1869788937473396, "deflection": 0.005154730594333827, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_3413", "improvement_over_parent": null }, "node_3415": { "node_id": "node_3415", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3414", "improvement_over_parent": null }, "node_3416": { "node_id": "node_3416", "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 291.79 kg\n Factor of Safety: 1.40\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 291.78680463436274, "fos_buckling": 1.4041336368901305, "fos_yielding": 2.191884722477289, "deflection": 0.005481566751059072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3417": { "node_id": "node_3417", "content": "MODIFICATION: Increase 8 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 292.64 kg\n Factor of Safety: 1.45\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 292.6364263484966, "fos_buckling": 1.4504181785775137, "fos_yielding": 2.1977930353545263, "deflection": 0.005474195379989817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.477)" }, "parent_node_id": "node_3416", "improvement_over_parent": null }, "node_3418": { "node_id": "node_3418", "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 295.28 kg\n Factor of Safety: 1.49\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 295.2824169044043, "fos_buckling": 1.4921364408036273, "fos_yielding": 2.1866209445995177, "deflection": 0.005450449658806318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.289)" }, "parent_node_id": "node_3417", "improvement_over_parent": null }, "node_3419": { "node_id": "node_3419", "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4332045546738, "fos_buckling": 1.5139701864923218, "fos_yielding": 2.1869052134146654, "deflection": 0.005154393940840132, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.513)" }, "parent_node_id": "node_3418", "improvement_over_parent": null }, "node_3420": { "node_id": "node_3420", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3419", "improvement_over_parent": null }, "node_3421": { "node_id": "node_3421", "content": "INITIAL DESIGN (Trace 490)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0025)]\n\nPerformance:\n Mass: 136.20 kg\n Factor of Safety: 0.62\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.19974760037852, "fos_buckling": 0.6209392307572644, "fos_yielding": 1.2456531403185818, "deflection": 0.012047098910139479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3422": { "node_id": "node_3422", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n\nPerformance:\n Mass: 166.88 kg\n Factor of Safety: 0.74\n Max Deflection: 9.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.88211089220275, "fos_buckling": 0.7430688204023307, "fos_yielding": 1.5259981648684786, "deflection": 0.009853679915370386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_3421", "improvement_over_parent": null }, "node_3423": { "node_id": "node_3423", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n\nPerformance:\n Mass: 178.36 kg\n Factor of Safety: 0.77\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.36431919015513, "fos_buckling": 0.7685378019429543, "fos_yielding": 1.4196785013720976, "deflection": 0.009405060725789413, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002597)" }, "parent_node_id": "node_3422", "improvement_over_parent": null }, "node_3424": { "node_id": "node_3424", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0034)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n Mass: 193.15 kg\n Factor of Safety: 1.03\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.15207247882077, "fos_buckling": 1.034214778839551, "fos_yielding": 1.3956344582642, "deflection": 0.008029709745776093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002947)" }, "parent_node_id": "node_3423", "improvement_over_parent": null }, "node_3425": { "node_id": "node_3425", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n Mass: 241.19 kg\n Factor of Safety: 1.25\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 241.19362743400478, "fos_buckling": 1.2529989698948918, "fos_yielding": 1.740853279226926, "deflection": 0.006453992116445349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_3424", "improvement_over_parent": null }, "node_3426": { "node_id": "node_3426", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n Mass: 303.15 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1542682978303, "fos_buckling": 1.5129897356749473, "fos_yielding": 2.1849774361948824, "deflection": 0.005159161443713714, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3425", "improvement_over_parent": null }, "node_3427": { "node_id": "node_3427", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3426", "improvement_over_parent": null }, "node_3428": { "node_id": "node_3428", "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 221.28 kg\n Factor of Safety: 0.30\n Max Deflection: 1.40e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.2809550042967, "fos_buckling": 0.30489887202359167, "fos_yielding": 1.1862723409522464, "deflection": 0.013979865187614016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3429": { "node_id": "node_3429", "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 226.38 kg\n Factor of Safety: 0.30\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.38415591102495, "fos_buckling": 0.30484086539306154, "fos_yielding": 1.230220142699249, "deflection": 0.01386176110774834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.529)" }, "parent_node_id": "node_3428", "improvement_over_parent": null }, "node_3430": { "node_id": "node_3430", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nPerformance:\n Mass: 229.66 kg\n Factor of Safety: 0.30\n Max Deflection: 1.38e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 229.6558025524615, "fos_buckling": 0.304766521927777, "fos_yielding": 1.2299418154057358, "deflection": 0.0137735732316354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.200)" }, "parent_node_id": "node_3429", "improvement_over_parent": null }, "node_3431": { "node_id": "node_3431", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 252.12 kg\n Factor of Safety: 1.10\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 252.12295985260113, "fos_buckling": 1.102449262556158, "fos_yielding": 1.8865169150655594, "deflection": 0.00609959588415881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004632)" }, "parent_node_id": "node_3430", "improvement_over_parent": null }, "node_3432": { "node_id": "node_3432", "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 256.65 kg\n Factor of Safety: 1.29\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.64922181750484, "fos_buckling": 1.2938075462341232, "fos_yielding": 1.8840016729444398, "deflection": 0.006015968455966269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.328)" }, "parent_node_id": "node_3431", "improvement_over_parent": null }, "node_3433": { "node_id": "node_3433", "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0038)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n\nPerformance:\n Mass: 261.85 kg\n Factor of Safety: 1.29\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 261.8474059787858, "fos_buckling": 1.287912060889005, "fos_yielding": 1.870840778631346, "deflection": 0.005978843384099116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.374)" }, "parent_node_id": "node_3432", "improvement_over_parent": null }, "node_3434": { "node_id": "node_3434", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0058)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.73 kg\n Factor of Safety: 1.46\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 303.7334367196408, "fos_buckling": 1.460750389602055, "fos_yielding": 2.1686504004689615, "deflection": 0.005169105279663405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_3433", "improvement_over_parent": null }, "node_3435": { "node_id": "node_3435", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3434", "improvement_over_parent": null }, "node_3436": { "node_id": "node_3436", "content": "INITIAL DESIGN (Trace 492)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 251.45 kg\n Factor of Safety: 0.53\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 251.4454057154872, "fos_buckling": 0.5344784087997891, "fos_yielding": 1.461878128593767, "deflection": 0.01043483210878997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3437": { "node_id": "node_3437", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 253.66 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 253.65760392005933, "fos_buckling": 0.5344784087997891, "fos_yielding": 1.8478855126585085, "deflection": 0.010213635891678384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.290)" }, "parent_node_id": "node_3436", "improvement_over_parent": null }, "node_3438": { "node_id": "node_3438", "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 258.48 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 258.4788715138128, "fos_buckling": 0.5342897403706757, "fos_yielding": 1.8477372597308415, "deflection": 0.010170759469477356, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.255)" }, "parent_node_id": "node_3437", "improvement_over_parent": null }, "node_3439": { "node_id": "node_3439", "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 265.33 kg\n Factor of Safety: 0.53\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 265.33323519978956, "fos_buckling": 0.5334865477634437, "fos_yielding": 1.8471052161650534, "deflection": 0.010175742240370338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.558)" }, "parent_node_id": "node_3438", "improvement_over_parent": null }, "node_3440": { "node_id": "node_3440", "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 274.83 kg\n Factor of Safety: 0.53\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 274.82871042729323, "fos_buckling": 0.5323778519478369, "fos_yielding": 1.8462303487426142, "deflection": 0.008738057268930795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.587)" }, "parent_node_id": "node_3439", "improvement_over_parent": null }, "node_3441": { "node_id": "node_3441", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 277.63 kg\n Factor of Safety: 0.53\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 277.63296640643375, "fos_buckling": 0.5319425472538843, "fos_yielding": 1.84588608190399, "deflection": 0.006704824187415245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3440", "improvement_over_parent": null }, "node_3442": { "node_id": "node_3442", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4235939488477, "fos_buckling": 1.513901803106762, "fos_yielding": 2.185257738428947, "deflection": 0.0051546683939469665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)" }, "parent_node_id": "node_3441", "improvement_over_parent": null }, "node_3443": { "node_id": "node_3443", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3442", "improvement_over_parent": null }, "node_3444": { "node_id": "node_3444", "content": "INITIAL DESIGN (Trace 493)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0033)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0032)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0030)]\n\nPerformance:\n Mass: 184.60 kg\n Factor of Safety: 0.89\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.60259461873844, "fos_buckling": 0.8885439712252506, "fos_yielding": 1.3401843395507442, "deflection": 0.008463824871541814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3445": { "node_id": "node_3445", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0040)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0033)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 224.89 kg\n Factor of Safety: 1.07\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 224.8857786309056, "fos_buckling": 1.0688214203629047, "fos_yielding": 1.6310657476340569, "deflection": 0.00696796881849007, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_3444", "improvement_over_parent": null }, "node_3446": { "node_id": "node_3446", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 256.33 kg\n Factor of Safety: 1.21\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 256.333390555458, "fos_buckling": 1.206085978152596, "fos_yielding": 1.857755347293009, "deflection": 0.006126969909911053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3445", "improvement_over_parent": null }, "node_3447": { "node_id": "node_3447", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 301.86 kg\n Factor of Safety: 1.40\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.8597972178034, "fos_buckling": 1.3993446681794526, "fos_yielding": 2.185323569279411, "deflection": 0.005219901479342618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_3446", "improvement_over_parent": null }, "node_3448": { "node_id": "node_3448", "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.37 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3703173671213, "fos_buckling": 1.5138833359514732, "fos_yielding": 2.1866221647249384, "deflection": 0.005155497300854528, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.408)" }, "parent_node_id": "node_3447", "improvement_over_parent": null }, "node_3449": { "node_id": "node_3449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3448", "improvement_over_parent": null }, "node_3450": { "node_id": "node_3450", "content": "INITIAL DESIGN (Trace 494)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0041)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0033)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0040)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0036)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0037)]\n\nPerformance:\n Mass: 226.96 kg\n Factor of Safety: 1.03\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 226.95645952261805, "fos_buckling": 1.0253606058375817, "fos_yielding": 1.4441129858245896, "deflection": 0.006887046187727193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3451": { "node_id": "node_3451", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 255.55 kg\n Factor of Safety: 1.14\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.54587724446014, "fos_buckling": 1.1417965439208633, "fos_yielding": 1.628141948418022, "deflection": 0.006129500589914452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_3450", "improvement_over_parent": null }, "node_3452": { "node_id": "node_3452", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.32\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 257.4809600932404, "fos_buckling": 1.3237937502582904, "fos_yielding": 1.8577962008358524, "deflection": 0.0060531394903329296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.340)" }, "parent_node_id": "node_3451", "improvement_over_parent": null }, "node_3453": { "node_id": "node_3453", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.43 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.4265368547118, "fos_buckling": 1.5141220400763975, "fos_yielding": 2.1870148222492056, "deflection": 0.005154546557572786, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_3452", "improvement_over_parent": null }, "node_3454": { "node_id": "node_3454", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3453", "improvement_over_parent": null }, "node_3455": { "node_id": "node_3455", "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 280.96 kg\n Factor of Safety: 0.68\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 280.95951047883966, "fos_buckling": 0.677241208687654, "fos_yielding": 1.9423942124133637, "deflection": 0.008490617240746078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3456": { "node_id": "node_3456", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 283.76 kg\n Factor of Safety: 0.85\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 283.7637664579802, "fos_buckling": 0.8515083384320573, "fos_yielding": 2.1568577615849494, "deflection": 0.007555049425241501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)" }, "parent_node_id": "node_3455", "improvement_over_parent": null }, "node_3457": { "node_id": "node_3457", "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 288.95 kg\n Factor of Safety: 0.82\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 288.94501180973197, "fos_buckling": 0.8249364216887816, "fos_yielding": 2.1544530532095223, "deflection": 0.007204932760847398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.258)" }, "parent_node_id": "node_3456", "improvement_over_parent": null }, "node_3458": { "node_id": "node_3458", "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n\nPerformance:\n Mass: 297.84 kg\n Factor of Safety: 0.89\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.8444854099686, "fos_buckling": 0.8895330931129292, "fos_yielding": 2.159219665867559, "deflection": 0.006518298088997581, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.585)" }, "parent_node_id": "node_3457", "improvement_over_parent": null }, "node_3459": { "node_id": "node_3459", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41868507494485, "fos_buckling": 1.5139322074565909, "fos_yielding": 2.186944905164162, "deflection": 0.005154690640355602, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)" }, "parent_node_id": "node_3458", "improvement_over_parent": null }, "node_3460": { "node_id": "node_3460", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3459", "improvement_over_parent": null }, "node_3461": { "node_id": "node_3461", "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0038)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0037)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0035)]\n\nPerformance:\n Mass: 186.17 kg\n Factor of Safety: 0.30\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.16767041934946, "fos_buckling": 0.2957109729570927, "fos_yielding": 1.1894551716670965, "deflection": 0.014185951946479772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3462": { "node_id": "node_3462", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n\nPerformance:\n Mass: 205.63 kg\n Factor of Safety: 0.32\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.626368067067, "fos_buckling": 0.32346960379217454, "fos_yielding": 1.3125878439920105, "deflection": 0.012856593830573994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_3461", "improvement_over_parent": null }, "node_3463": { "node_id": "node_3463", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0026)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n\nPerformance:\n Mass: 234.03 kg\n Factor of Safety: 1.21\n Max Deflection: 6.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 234.03080386877997, "fos_buckling": 1.2054173871054796, "fos_yielding": 1.7107115500230967, "deflection": 0.006633251711848147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004583)" }, "parent_node_id": "node_3462", "improvement_over_parent": null }, "node_3464": { "node_id": "node_3464", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 299.97 kg\n Factor of Safety: 1.48\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 299.9741859422719, "fos_buckling": 1.480317306780661, "fos_yielding": 2.1889108258046046, "deflection": 0.005201241931928749, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3463", "improvement_over_parent": null }, "node_3465": { "node_id": "node_3465", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n\nPerformance:\n Mass: 303.65 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.65125332472724, "fos_buckling": 1.5147606195625705, "fos_yielding": 2.188698740159457, "deflection": 0.005150887561861349, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.300)" }, "parent_node_id": "node_3464", "improvement_over_parent": null }, "node_3466": { "node_id": "node_3466", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3465", "improvement_over_parent": null }, "node_3467": { "node_id": "node_3467", "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n\nPerformance:\n Mass: 108.01 kg\n Factor of Safety: 0.21\n Max Deflection: 3.23e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.014450360605, "fos_buckling": 0.21167196771954228, "fos_yielding": 0.46893052354111286, "deflection": 0.032283194796589094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3468": { "node_id": "node_3468", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0018)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0010)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0019)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0020)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0020)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n\nPerformance:\n Mass: 110.39 kg\n Factor of Safety: 0.21\n Max Deflection: 2.86e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.38724940137367, "fos_buckling": 0.2115965060656058, "fos_yielding": 0.46876391919290716, "deflection": 0.02863533346441962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001343)" }, "parent_node_id": "node_3467", "improvement_over_parent": null }, "node_3469": { "node_id": "node_3469", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n\nPerformance:\n Mass: 140.34 kg\n Factor of Safety: 0.26\n Max Deflection: 2.26e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.33542416124826, "fos_buckling": 0.2633505211595395, "fos_yielding": 0.5940960876401093, "deflection": 0.022595406067972286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_3468", "improvement_over_parent": null }, "node_3470": { "node_id": "node_3470", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n\nPerformance:\n Mass: 150.09 kg\n Factor of Safety: 0.26\n Max Deflection: 1.96e-02 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.0873836841516, "fos_buckling": 0.2632543020236178, "fos_yielding": 0.7781958907313187, "deflection": 0.019569619065761615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002187)" }, "parent_node_id": "node_3469", "improvement_over_parent": null }, "node_3471": { "node_id": "node_3471", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0023)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0022)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0028)]\n\nPerformance:\n Mass: 164.20 kg\n Factor of Safety: 0.90\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.19713644573648, "fos_buckling": 0.8951396464533251, "fos_yielding": 1.1873885477838173, "deflection": 0.009424629961965731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002825)" }, "parent_node_id": "node_3470", "improvement_over_parent": null }, "node_3472": { "node_id": "node_3472", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0034)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0031)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0033)]\n\nPerformance:\n Mass: 191.87 kg\n Factor of Safety: 1.03\n Max Deflection: 8.08e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.86951066262498, "fos_buckling": 1.0282867337205357, "fos_yielding": 1.3866226993786737, "deflection": 0.008082496018054993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_3471", "improvement_over_parent": null }, "node_3473": { "node_id": "node_3473", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0043)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0034)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0035)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0034)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0042)]\n\nPerformance:\n Mass: 238.21 kg\n Factor of Safety: 1.24\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 238.20864172760557, "fos_buckling": 1.2399825988409763, "fos_yielding": 1.719688546188803, "deflection": 0.006533303448518914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_3472", "improvement_over_parent": null }, "node_3474": { "node_id": "node_3474", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n\nPerformance:\n Mass: 303.31 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.3107168741814, "fos_buckling": 1.5137707102256566, "fos_yielding": 2.1864243060213466, "deflection": 0.005156504278541058, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3473", "improvement_over_parent": null }, "node_3475": { "node_id": "node_3475", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3474", "improvement_over_parent": null }, "node_3476": { "node_id": "node_3476", "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 239.98 kg\n Factor of Safety: 0.94\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 239.98411900515663, "fos_buckling": 0.9434407240835193, "fos_yielding": 2.0315335121644127, "deflection": 0.0065557103580328015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3477": { "node_id": "node_3477", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0050)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0041)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0035)]\n\nPerformance:\n Mass: 255.27 kg\n Factor of Safety: 1.30\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 255.26835749474708, "fos_buckling": 1.2963768893011014, "fos_yielding": 1.8634117524459688, "deflection": 0.006083176365181353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003525)" }, "parent_node_id": "node_3476", "improvement_over_parent": null }, "node_3478": { "node_id": "node_3478", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 301.31 kg\n Factor of Safety: 1.49\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 301.3139575536346, "fos_buckling": 1.4880233517977237, "fos_yielding": 2.196948964238043, "deflection": 0.005172001922661492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_3477", "improvement_over_parent": null }, "node_3479": { "node_id": "node_3479", "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0051)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n\nPerformance:\n Mass: 303.54 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.53526870801596, "fos_buckling": 1.5145680693225114, "fos_yielding": 2.187843857523191, "deflection": 0.0051527054478498905, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.233)" }, "parent_node_id": "node_3478", "improvement_over_parent": null }, "node_3480": { "node_id": "node_3480", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3479", "improvement_over_parent": null }, "node_3481": { "node_id": "node_3481", "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0039)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0031)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0039)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0032)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0036)]\n\nPerformance:\n Mass: 216.24 kg\n Factor of Safety: 1.15\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.2395342259023, "fos_buckling": 1.1479091669877977, "fos_yielding": 1.6101094209810636, "deflection": 0.007116335244215898, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3482": { "node_id": "node_3482", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0046)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0036)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0045)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0038)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0049)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0040)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0037)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0042)]\n\nPerformance:\n Mass: 248.56 kg\n Factor of Safety: 1.29\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 248.55611565396902, "fos_buckling": 1.2902181849516752, "fos_yielding": 1.849064122024661, "deflection": 0.006206977333558884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_3481", "improvement_over_parent": null }, "node_3483": { "node_id": "node_3483", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 297.29 kg\n Factor of Safety: 1.49\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 297.2901276074326, "fos_buckling": 1.4909860551608283, "fos_yielding": 2.208543890017506, "deflection": 0.005209536064180878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_3482", "improvement_over_parent": null }, "node_3484": { "node_id": "node_3484", "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0054)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.11 kg\n Factor of Safety: 1.51\n Max Deflection: 5.16e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.1142116786668, "fos_buckling": 1.5128782392350577, "fos_yielding": 2.184807848226628, "deflection": 0.005159713582618327, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.524)" }, "parent_node_id": "node_3483", "improvement_over_parent": null }, "node_3485": { "node_id": "node_3485", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0054)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0056)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0044)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0055)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0228, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0046)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0060)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0049)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0269, t=0.0045)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0050)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.51\n Max Deflection: 5.15e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 303.41541894468946, "fos_buckling": 1.5140719461653287, "fos_yielding": 2.1869389320876995, "deflection": 0.005154733818225317, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3484", "improvement_over_parent": null } }, "edges": [ { "from_node": "node_0", "to_node": "node_1", "edge_type": "modification", "reasoning": "Increase 7 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1", "to_node": "node_2", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003551)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2", "to_node": "node_3", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3", "to_node": "node_4", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_5", "to_node": "node_6", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002733)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_6", "to_node": "node_7", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003530)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_7", "to_node": "node_8", "edge_type": "modification", "reasoning": "Increase 15 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.342)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_8", "to_node": "node_9", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_9", "to_node": "node_10", "edge_type": "modification", "reasoning": "Increase 10 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.590)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_10", "to_node": "node_11", "edge_type": "modification", "reasoning": "Increase 9 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_11", "to_node": "node_12", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_12", "to_node": "node_13", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_14", "to_node": "node_15", "edge_type": "modification", "reasoning": "Increase 9 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_15", "to_node": "node_16", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_16", "to_node": "node_17", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_17", "to_node": "node_18", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_18", "to_node": "node_19", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_20", "to_node": "node_21", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_21", "to_node": "node_22", "edge_type": "modification", "reasoning": "Increase 9 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_22", "to_node": "node_23", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_23", "to_node": "node_24", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_25", "to_node": "node_26", "edge_type": "modification", "reasoning": "Increase 13 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_26", "to_node": "node_27", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_27", "to_node": "node_28", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_28", "to_node": "node_29", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_29", "to_node": "node_30", "edge_type": "modification", "reasoning": "Increase 4 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_30", "to_node": "node_31", "edge_type": "modification", "reasoning": "Increase 1 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_31", "to_node": "node_32", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_33", "to_node": "node_34", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_34", "to_node": "node_35", "edge_type": "modification", "reasoning": "Increase 14 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_35", "to_node": "node_36", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_36", "to_node": "node_37", "edge_type": "modification", "reasoning": "Increase 0 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_37", "to_node": "node_38", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_38", "to_node": "node_39", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_40", "to_node": "node_41", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_41", "to_node": "node_42", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_42", "to_node": "node_43", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_43", "to_node": "node_44", "edge_type": "modification", "reasoning": "Increase 13 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.497)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_44", "to_node": "node_45", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_46", "to_node": "node_47", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_47", "to_node": "node_48", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_48", "to_node": "node_49", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_49", "to_node": "node_50", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_50", "to_node": "node_51", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_51", "to_node": "node_52", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_52", "to_node": "node_53", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_53", "to_node": "node_54", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_55", "to_node": "node_56", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_56", "to_node": "node_57", "edge_type": "modification", "reasoning": "Increase 5 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.433)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_57", "to_node": "node_58", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_58", "to_node": "node_59", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_60", "to_node": "node_61", "edge_type": "modification", "reasoning": "Increase 10 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.479)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_61", "to_node": "node_62", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_62", "to_node": "node_63", "edge_type": "modification", "reasoning": "Increase 0 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.473)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_63", "to_node": "node_64", "edge_type": "modification", "reasoning": "Increase 4 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_64", "to_node": "node_65", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003187)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_65", "to_node": "node_66", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_66", "to_node": "node_67", "edge_type": "modification", "reasoning": "Increase 6 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.497)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_67", "to_node": "node_68", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_69", "to_node": "node_70", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003832)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_70", "to_node": "node_71", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_71", "to_node": "node_72", "edge_type": "modification", "reasoning": "Increase 13 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_72", "to_node": "node_73", "edge_type": "modification", "reasoning": "Increase 4 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.404)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_73", "to_node": "node_74", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003787)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_74", "to_node": "node_75", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_75", "to_node": "node_76", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_77", "to_node": "node_78", "edge_type": "modification", "reasoning": "Increase 4 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.536)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_78", "to_node": "node_79", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004849)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_79", "to_node": "node_80", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003382)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_80", "to_node": "node_81", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_81", "to_node": "node_82", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_82", "to_node": "node_83", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_83", "to_node": "node_84", "edge_type": "modification", "reasoning": "Increase 12 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.374)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_84", "to_node": "node_85", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_86", "to_node": "node_87", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_87", "to_node": "node_88", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_88", "to_node": "node_89", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_89", "to_node": "node_90", "edge_type": "modification", "reasoning": "Increase 3 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_90", "to_node": "node_91", "edge_type": "modification", "reasoning": "Increase 12 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_91", "to_node": "node_92", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_93", "to_node": "node_94", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_94", "to_node": "node_95", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003342)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_95", "to_node": "node_96", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002073)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_96", "to_node": "node_97", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_97", "to_node": "node_98", "edge_type": "modification", "reasoning": "Increase 1 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.504)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_98", "to_node": "node_99", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_99", "to_node": "node_100", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_100", "to_node": "node_101", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_102", "to_node": "node_103", "edge_type": "modification", "reasoning": "Increase 11 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_103", "to_node": "node_104", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_104", "to_node": "node_105", "edge_type": "modification", "reasoning": "Increase 9 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_105", "to_node": "node_106", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_106", "to_node": "node_107", "edge_type": "modification", "reasoning": "Increase 11 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_107", "to_node": "node_108", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_108", "to_node": "node_109", "edge_type": "modification", "reasoning": "Increase 0 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_109", "to_node": "node_110", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_111", "to_node": "node_112", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003736)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_112", "to_node": "node_113", "edge_type": "modification", "reasoning": "Increase 4 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.350)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_113", "to_node": "node_114", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_114", "to_node": "node_115", "edge_type": "modification", "reasoning": "Increase 10 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_115", "to_node": "node_116", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_117", "to_node": "node_118", "edge_type": "modification", "reasoning": "Increase 9 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_118", "to_node": "node_119", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_119", "to_node": "node_120", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_120", "to_node": "node_121", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_121", "to_node": "node_122", "edge_type": "modification", "reasoning": "Increase 10 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.395)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_122", "to_node": "node_123", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_124", "to_node": "node_125", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003041)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_125", "to_node": "node_126", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_126", "to_node": "node_127", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_127", "to_node": "node_128", "edge_type": "modification", "reasoning": "Increase 7 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.443)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_128", "to_node": "node_129", "edge_type": "modification", "reasoning": "Increase 8 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.658)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_129", "to_node": "node_130", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_130", "to_node": "node_131", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_131", "to_node": "node_132", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_133", "to_node": "node_134", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003083)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_134", "to_node": "node_135", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_135", "to_node": "node_136", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003301)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_136", "to_node": "node_137", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004159)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_137", "to_node": "node_138", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_138", "to_node": "node_139", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_140", "to_node": "node_141", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_141", "to_node": "node_142", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_142", "to_node": "node_143", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_143", "to_node": "node_144", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_145", "to_node": "node_146", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_146", "to_node": "node_147", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004925)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_147", "to_node": "node_148", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_148", "to_node": "node_149", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_149", "to_node": "node_150", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_150", "to_node": "node_151", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_152", "to_node": "node_153", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_153", "to_node": "node_154", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_154", "to_node": "node_155", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_155", "to_node": "node_156", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_157", "to_node": "node_158", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004313)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_158", "to_node": "node_159", "edge_type": "modification", "reasoning": "Increase 3 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_159", "to_node": "node_160", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002015)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_160", "to_node": "node_161", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003828)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_161", "to_node": "node_162", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005122)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_162", "to_node": "node_163", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004093)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_163", "to_node": "node_164", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_164", "to_node": "node_165", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_166", "to_node": "node_167", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003965)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_167", "to_node": "node_168", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_168", "to_node": "node_169", "edge_type": "modification", "reasoning": "Increase 15 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_169", "to_node": "node_170", "edge_type": "modification", "reasoning": "Increase 13 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_170", "to_node": "node_171", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_171", "to_node": "node_172", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_173", "to_node": "node_174", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_174", "to_node": "node_175", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002499)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_175", "to_node": "node_176", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.001796)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_176", "to_node": "node_177", "edge_type": "modification", "reasoning": "Increase 13 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_177", "to_node": "node_178", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_178", "to_node": "node_179", "edge_type": "modification", "reasoning": "Increase 13 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.558)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_179", "to_node": "node_180", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_181", "to_node": "node_182", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003495)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_182", "to_node": "node_183", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004964)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_183", "to_node": "node_184", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002644)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_184", "to_node": "node_185", "edge_type": "modification", "reasoning": "Increase 5 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_185", "to_node": "node_186", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002754)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_186", "to_node": "node_187", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_187", "to_node": "node_188", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_189", "to_node": "node_190", "edge_type": "modification", "reasoning": "Increase 5 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_190", "to_node": "node_191", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004342)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_191", "to_node": "node_192", "edge_type": "modification", "reasoning": "Increase 11 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_192", "to_node": "node_193", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_193", "to_node": "node_194", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003722)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_194", "to_node": "node_195", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_195", "to_node": "node_196", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_197", "to_node": "node_198", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_198", "to_node": "node_199", "edge_type": "modification", "reasoning": "Increase 10 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_199", "to_node": "node_200", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_200", "to_node": "node_201", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_201", "to_node": "node_202", "edge_type": "modification", "reasoning": "Increase 12 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.473)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_202", "to_node": "node_203", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_204", "to_node": "node_205", "edge_type": "modification", "reasoning": "Increase 0 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.462)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_205", "to_node": "node_206", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_206", "to_node": "node_207", "edge_type": "modification", "reasoning": "Increase 0 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_207", "to_node": "node_208", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_209", "to_node": "node_210", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001384)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_210", "to_node": "node_211", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_211", "to_node": "node_212", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_212", "to_node": "node_213", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_213", "to_node": "node_214", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_214", "to_node": "node_215", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_215", "to_node": "node_216", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_216", "to_node": "node_217", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_218", "to_node": "node_219", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002688)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_219", "to_node": "node_220", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_220", "to_node": "node_221", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_221", "to_node": "node_222", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_222", "to_node": "node_223", "edge_type": "modification", "reasoning": "Increase 5 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_223", "to_node": "node_224", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_225", "to_node": "node_226", "edge_type": "modification", "reasoning": "Increase 6 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_226", "to_node": "node_227", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_227", "to_node": "node_228", "edge_type": "modification", "reasoning": "Increase 14 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_228", "to_node": "node_229", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_229", "to_node": "node_230", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_230", "to_node": "node_231", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_232", "to_node": "node_233", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_233", "to_node": "node_234", "edge_type": "modification", "reasoning": "Increase 1 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.650)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_234", "to_node": "node_235", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002760)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_235", "to_node": "node_236", "edge_type": "modification", "reasoning": "Increase 13 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_236", "to_node": "node_237", "edge_type": "modification", "reasoning": "Increase 4 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.613)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_237", "to_node": "node_238", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_238", "to_node": "node_239", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_239", "to_node": "node_240", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_241", "to_node": "node_242", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_242", "to_node": "node_243", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_243", "to_node": "node_244", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003902)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_244", "to_node": "node_245", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002347)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_245", "to_node": "node_246", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_246", "to_node": "node_247", "edge_type": "modification", "reasoning": "Increase 3 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.453)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_247", "to_node": "node_248", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_249", "to_node": "node_250", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_250", "to_node": "node_251", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_251", "to_node": "node_252", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_252", "to_node": "node_253", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_253", "to_node": "node_254", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_254", "to_node": "node_255", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_256", "to_node": "node_257", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003797)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_257", "to_node": "node_258", "edge_type": "modification", "reasoning": "Increase 13 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.608)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_258", "to_node": "node_259", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_259", "to_node": "node_260", "edge_type": "modification", "reasoning": "Increase 7 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.447)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_260", "to_node": "node_261", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_262", "to_node": "node_263", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_263", "to_node": "node_264", "edge_type": "modification", "reasoning": "Increase 11 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_264", "to_node": "node_265", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_265", "to_node": "node_266", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_267", "to_node": "node_268", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_268", "to_node": "node_269", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_269", "to_node": "node_270", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_270", "to_node": "node_271", "edge_type": "modification", "reasoning": "Increase 10 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.490)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_271", "to_node": "node_272", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_273", "to_node": "node_274", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002594)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_274", "to_node": "node_275", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_275", "to_node": "node_276", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_276", "to_node": "node_277", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_277", "to_node": "node_278", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_279", "to_node": "node_280", "edge_type": "modification", "reasoning": "Increase 5 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_280", "to_node": "node_281", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002811)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_281", "to_node": "node_282", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_282", "to_node": "node_283", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_283", "to_node": "node_284", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_284", "to_node": "node_285", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_285", "to_node": "node_286", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_287", "to_node": "node_288", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_288", "to_node": "node_289", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_289", "to_node": "node_290", "edge_type": "modification", "reasoning": "Increase 2 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.406)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_290", "to_node": "node_291", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_291", "to_node": "node_292", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_292", "to_node": "node_293", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_293", "to_node": "node_294", "edge_type": "modification", "reasoning": "Increase 1 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_294", "to_node": "node_295", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_296", "to_node": "node_297", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001470)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_297", "to_node": "node_298", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_298", "to_node": "node_299", "edge_type": "modification", "reasoning": "Increase 4 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.316)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_299", "to_node": "node_300", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_300", "to_node": "node_301", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_301", "to_node": "node_302", "edge_type": "modification", "reasoning": "Increase 13 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_302", "to_node": "node_303", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_304", "to_node": "node_305", "edge_type": "modification", "reasoning": "Increase 6 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.389)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_305", "to_node": "node_306", "edge_type": "modification", "reasoning": "Increase 8 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_306", "to_node": "node_307", "edge_type": "modification", "reasoning": "Increase 8 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_307", "to_node": "node_308", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_309", "to_node": "node_310", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_310", "to_node": "node_311", "edge_type": "modification", "reasoning": "Increase 7 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.381)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_311", "to_node": "node_312", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_312", "to_node": "node_313", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_314", "to_node": "node_315", "edge_type": "modification", "reasoning": "Increase 0 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.475)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_315", "to_node": "node_316", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_316", "to_node": "node_317", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_317", "to_node": "node_318", "edge_type": "modification", "reasoning": "Increase 1 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_318", "to_node": "node_319", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_320", "to_node": "node_321", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_321", "to_node": "node_322", "edge_type": "modification", "reasoning": "Increase 13 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.504)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_322", "to_node": "node_323", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_323", "to_node": "node_324", "edge_type": "modification", "reasoning": "Increase 4 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.582)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_324", "to_node": "node_325", "edge_type": "modification", "reasoning": "Increase 11 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.582)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_325", "to_node": "node_326", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_327", "to_node": "node_328", "edge_type": "modification", "reasoning": "Increase 7 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_328", "to_node": "node_329", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003281)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_329", "to_node": "node_330", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_330", "to_node": "node_331", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_331", "to_node": "node_332", "edge_type": "modification", "reasoning": "Increase 11 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_332", "to_node": "node_333", "edge_type": "modification", "reasoning": "Increase 2 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.420)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_333", "to_node": "node_334", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_335", "to_node": "node_336", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_336", "to_node": "node_337", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_337", "to_node": "node_338", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_338", "to_node": "node_339", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_340", "to_node": "node_341", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_341", "to_node": "node_342", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_342", "to_node": "node_343", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_344", "to_node": "node_345", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_345", "to_node": "node_346", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_346", "to_node": "node_347", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_347", "to_node": "node_348", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_349", "to_node": "node_350", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_350", "to_node": "node_351", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_351", "to_node": "node_352", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_352", "to_node": "node_353", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_353", "to_node": "node_354", "edge_type": "modification", "reasoning": "Increase 15 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_354", "to_node": "node_355", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_356", "to_node": "node_357", "edge_type": "modification", "reasoning": "Increase 4 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_357", "to_node": "node_358", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001841)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_358", "to_node": "node_359", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_359", "to_node": "node_360", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003932)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_360", "to_node": "node_361", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_361", "to_node": "node_362", "edge_type": "modification", "reasoning": "Increase 2 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.481)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_362", "to_node": "node_363", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_363", "to_node": "node_364", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_365", "to_node": "node_366", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_366", "to_node": "node_367", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_367", "to_node": "node_368", "edge_type": "modification", "reasoning": "Increase 12 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_368", "to_node": "node_369", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_369", "to_node": "node_370", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_371", "to_node": "node_372", "edge_type": "modification", "reasoning": "Increase 12 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.560)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_372", "to_node": "node_373", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004011)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_373", "to_node": "node_374", "edge_type": "modification", "reasoning": "Increase 12 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_374", "to_node": "node_375", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003354)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_375", "to_node": "node_376", "edge_type": "modification", "reasoning": "Increase 11 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.196)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_376", "to_node": "node_377", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_377", "to_node": "node_378", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_378", "to_node": "node_379", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_380", "to_node": "node_381", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_381", "to_node": "node_382", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005273)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_382", "to_node": "node_383", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_383", "to_node": "node_384", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_385", "to_node": "node_386", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003820)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_386", "to_node": "node_387", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004026)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_387", "to_node": "node_388", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_388", "to_node": "node_389", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_389", "to_node": "node_390", "edge_type": "modification", "reasoning": "Increase 10 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.524)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_390", "to_node": "node_391", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_392", "to_node": "node_393", "edge_type": "modification", "reasoning": "Increase 5 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.508)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_393", "to_node": "node_394", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_394", "to_node": "node_395", "edge_type": "modification", "reasoning": "Increase 4 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_395", "to_node": "node_396", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_397", "to_node": "node_398", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002748)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_398", "to_node": "node_399", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_399", "to_node": "node_400", "edge_type": "modification", "reasoning": "Increase 5 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.511)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_400", "to_node": "node_401", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_401", "to_node": "node_402", "edge_type": "modification", "reasoning": "Increase 4 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_402", "to_node": "node_403", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_403", "to_node": "node_404", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_405", "to_node": "node_406", "edge_type": "modification", "reasoning": "Increase 0 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_406", "to_node": "node_407", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002496)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_407", "to_node": "node_408", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_408", "to_node": "node_409", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_409", "to_node": "node_410", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_410", "to_node": "node_411", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_411", "to_node": "node_412", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_412", "to_node": "node_413", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_414", "to_node": "node_415", "edge_type": "modification", "reasoning": "Increase 13 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.653)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_415", "to_node": "node_416", "edge_type": "modification", "reasoning": "Increase 13 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.374)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_416", "to_node": "node_417", "edge_type": "modification", "reasoning": "Increase 6 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.506)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_417", "to_node": "node_418", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_418", "to_node": "node_419", "edge_type": "modification", "reasoning": "Increase 9 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.337)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_419", "to_node": "node_420", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_421", "to_node": "node_422", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_422", "to_node": "node_423", "edge_type": "modification", "reasoning": "Increase 4 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_423", "to_node": "node_424", "edge_type": "modification", "reasoning": "Increase 9 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.582)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_424", "to_node": "node_425", "edge_type": "modification", "reasoning": "Increase 13 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.567)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_425", "to_node": "node_426", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_426", "to_node": "node_427", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_427", "to_node": "node_428", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_429", "to_node": "node_430", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_430", "to_node": "node_431", "edge_type": "modification", "reasoning": "Increase 2 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_431", "to_node": "node_432", "edge_type": "modification", "reasoning": "Increase 8 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_432", "to_node": "node_433", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_433", "to_node": "node_434", "edge_type": "modification", "reasoning": "Increase 9 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_434", "to_node": "node_435", "edge_type": "modification", "reasoning": "Increase 12 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_435", "to_node": "node_436", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_437", "to_node": "node_438", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_438", "to_node": "node_439", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003288)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_439", "to_node": "node_440", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_440", "to_node": "node_441", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_441", "to_node": "node_442", "edge_type": "modification", "reasoning": "Increase 4 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_442", "to_node": "node_443", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_444", "to_node": "node_445", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001786)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_445", "to_node": "node_446", "edge_type": "modification", "reasoning": "Increase 0 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_446", "to_node": "node_447", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_447", "to_node": "node_448", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_448", "to_node": "node_449", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_449", "to_node": "node_450", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_451", "to_node": "node_452", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_452", "to_node": "node_453", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003737)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_453", "to_node": "node_454", "edge_type": "modification", "reasoning": "Increase 14 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.351)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_454", "to_node": "node_455", "edge_type": "modification", "reasoning": "Increase 4 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.449)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_455", "to_node": "node_456", "edge_type": "modification", "reasoning": "Increase 6 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.484)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_456", "to_node": "node_457", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_457", "to_node": "node_458", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_459", "to_node": "node_460", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_460", "to_node": "node_461", "edge_type": "modification", "reasoning": "Increase 2 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_461", "to_node": "node_462", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_462", "to_node": "node_463", "edge_type": "modification", "reasoning": "Increase 1 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.460)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_463", "to_node": "node_464", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_465", "to_node": "node_466", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_466", "to_node": "node_467", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_467", "to_node": "node_468", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_468", "to_node": "node_469", "edge_type": "modification", "reasoning": "Increase 6 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_469", "to_node": "node_470", "edge_type": "modification", "reasoning": "Increase 2 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_470", "to_node": "node_471", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_472", "to_node": "node_473", "edge_type": "modification", "reasoning": "Increase 4 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.387)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_473", "to_node": "node_474", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_474", "to_node": "node_475", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_475", "to_node": "node_476", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_476", "to_node": "node_477", "edge_type": "modification", "reasoning": "Increase 5 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_477", "to_node": "node_478", "edge_type": "modification", "reasoning": "Increase 1 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_478", "to_node": "node_479", "edge_type": "modification", "reasoning": "Increase 1 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_479", "to_node": "node_480", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_481", "to_node": "node_482", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_482", "to_node": "node_483", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_483", "to_node": "node_484", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_484", "to_node": "node_485", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_485", "to_node": "node_486", "edge_type": "modification", "reasoning": "Increase 2 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_486", "to_node": "node_487", "edge_type": "modification", "reasoning": "Increase 9 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_487", "to_node": "node_488", "edge_type": "modification", "reasoning": "Increase 2 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_488", "to_node": "node_489", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_490", "to_node": "node_491", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_491", "to_node": "node_492", "edge_type": "modification", "reasoning": "Increase 14 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.372)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_492", "to_node": "node_493", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_493", "to_node": "node_494", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_495", "to_node": "node_496", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_496", "to_node": "node_497", "edge_type": "modification", "reasoning": "Increase 14 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_497", "to_node": "node_498", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_498", "to_node": "node_499", "edge_type": "modification", "reasoning": "Increase 1 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.348)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_499", "to_node": "node_500", "edge_type": "modification", "reasoning": "Increase 14 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_500", "to_node": "node_501", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_502", "to_node": "node_503", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_503", "to_node": "node_504", "edge_type": "modification", "reasoning": "Increase 7 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_504", "to_node": "node_505", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_505", "to_node": "node_506", "edge_type": "modification", "reasoning": "Increase 3 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_506", "to_node": "node_507", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_507", "to_node": "node_508", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_509", "to_node": "node_510", "edge_type": "modification", "reasoning": "Increase 4 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.592)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_510", "to_node": "node_511", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_511", "to_node": "node_512", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_512", "to_node": "node_513", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_514", "to_node": "node_515", "edge_type": "modification", "reasoning": "Increase 3 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.490)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_515", "to_node": "node_516", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001850)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_516", "to_node": "node_517", "edge_type": "modification", "reasoning": "Increase 0 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_517", "to_node": "node_518", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_518", "to_node": "node_519", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_520", "to_node": "node_521", "edge_type": "modification", "reasoning": "Increase 1 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_521", "to_node": "node_522", "edge_type": "modification", "reasoning": "Increase 0 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_522", "to_node": "node_523", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_523", "to_node": "node_524", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_525", "to_node": "node_526", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004601)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_526", "to_node": "node_527", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002076)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_527", "to_node": "node_528", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_528", "to_node": "node_529", "edge_type": "modification", "reasoning": "Increase 12 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_529", "to_node": "node_530", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_531", "to_node": "node_532", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002434)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_532", "to_node": "node_533", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_533", "to_node": "node_534", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_534", "to_node": "node_535", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_535", "to_node": "node_536", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_537", "to_node": "node_538", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002502)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_538", "to_node": "node_539", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002675)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_539", "to_node": "node_540", "edge_type": "modification", "reasoning": "Increase 6 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_540", "to_node": "node_541", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_541", "to_node": "node_542", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_542", "to_node": "node_543", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_543", "to_node": "node_544", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_545", "to_node": "node_546", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004775)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_546", "to_node": "node_547", "edge_type": "modification", "reasoning": "Increase 8 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_547", "to_node": "node_548", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_548", "to_node": "node_549", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_549", "to_node": "node_550", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_551", "to_node": "node_552", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_552", "to_node": "node_553", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003097)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_553", "to_node": "node_554", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_554", "to_node": "node_555", "edge_type": "modification", "reasoning": "Increase 13 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.252)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_555", "to_node": "node_556", "edge_type": "modification", "reasoning": "Increase 14 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.447)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_556", "to_node": "node_557", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_558", "to_node": "node_559", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_559", "to_node": "node_560", "edge_type": "modification", "reasoning": "Increase 8 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_560", "to_node": "node_561", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_561", "to_node": "node_562", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_563", "to_node": "node_564", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_564", "to_node": "node_565", "edge_type": "modification", "reasoning": "Increase 6 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_565", "to_node": "node_566", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_566", "to_node": "node_567", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_567", "to_node": "node_568", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_569", "to_node": "node_570", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003625)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_570", "to_node": "node_571", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003052)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_571", "to_node": "node_572", "edge_type": "modification", "reasoning": "Increase 9 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.410)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_572", "to_node": "node_573", "edge_type": "modification", "reasoning": "Increase 1 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_573", "to_node": "node_574", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_574", "to_node": "node_575", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_575", "to_node": "node_576", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_576", "to_node": "node_577", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_578", "to_node": "node_579", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003603)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_579", "to_node": "node_580", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_580", "to_node": "node_581", "edge_type": "modification", "reasoning": "Increase 1 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.572)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_581", "to_node": "node_582", "edge_type": "modification", "reasoning": "Increase 9 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_582", "to_node": "node_583", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_583", "to_node": "node_584", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_585", "to_node": "node_586", "edge_type": "modification", "reasoning": "Increase 1 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.346)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_586", "to_node": "node_587", "edge_type": "modification", "reasoning": "Increase 10 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.188)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_587", "to_node": "node_588", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004257)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_588", "to_node": "node_589", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_589", "to_node": "node_590", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_591", "to_node": "node_592", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_592", "to_node": "node_593", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003615)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_593", "to_node": "node_594", "edge_type": "modification", "reasoning": "Increase 5 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_594", "to_node": "node_595", "edge_type": "modification", "reasoning": "Increase 15 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_595", "to_node": "node_596", "edge_type": "modification", "reasoning": "Increase 7 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.543)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_596", "to_node": "node_597", "edge_type": "modification", "reasoning": "Increase 6 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_597", "to_node": "node_598", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_598", "to_node": "node_599", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_600", "to_node": "node_601", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_601", "to_node": "node_602", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_602", "to_node": "node_603", "edge_type": "modification", "reasoning": "Increase 13 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_603", "to_node": "node_604", "edge_type": "modification", "reasoning": "Increase 9 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_604", "to_node": "node_605", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_606", "to_node": "node_607", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_607", "to_node": "node_608", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_608", "to_node": "node_609", "edge_type": "modification", "reasoning": "Increase 11 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.445)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_609", "to_node": "node_610", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_610", "to_node": "node_611", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003868)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_611", "to_node": "node_612", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_612", "to_node": "node_613", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_614", "to_node": "node_615", "edge_type": "modification", "reasoning": "Increase 12 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.631)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_615", "to_node": "node_616", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_616", "to_node": "node_617", "edge_type": "modification", "reasoning": "Increase 5 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_617", "to_node": "node_618", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_619", "to_node": "node_620", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_620", "to_node": "node_621", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_621", "to_node": "node_622", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_622", "to_node": "node_623", "edge_type": "modification", "reasoning": "Increase 11 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_623", "to_node": "node_624", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_624", "to_node": "node_625", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_625", "to_node": "node_626", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_626", "to_node": "node_627", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_628", "to_node": "node_629", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_629", "to_node": "node_630", "edge_type": "modification", "reasoning": "Increase 2 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_630", "to_node": "node_631", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_631", "to_node": "node_632", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_632", "to_node": "node_633", "edge_type": "modification", "reasoning": "Increase 9 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.580)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_633", "to_node": "node_634", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_635", "to_node": "node_636", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_636", "to_node": "node_637", "edge_type": "modification", "reasoning": "Increase 6 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_637", "to_node": "node_638", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004562)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_638", "to_node": "node_639", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003841)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_639", "to_node": "node_640", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_640", "to_node": "node_641", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_642", "to_node": "node_643", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_643", "to_node": "node_644", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003007)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_644", "to_node": "node_645", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_645", "to_node": "node_646", "edge_type": "modification", "reasoning": "Increase 1 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_646", "to_node": "node_647", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_648", "to_node": "node_649", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003511)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_649", "to_node": "node_650", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_650", "to_node": "node_651", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_651", "to_node": "node_652", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_652", "to_node": "node_653", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_654", "to_node": "node_655", "edge_type": "modification", "reasoning": "Increase 14 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_655", "to_node": "node_656", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002700)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_656", "to_node": "node_657", "edge_type": "modification", "reasoning": "Increase 14 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.653)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_657", "to_node": "node_658", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_658", "to_node": "node_659", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_659", "to_node": "node_660", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_660", "to_node": "node_661", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_661", "to_node": "node_662", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_663", "to_node": "node_664", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_664", "to_node": "node_665", "edge_type": "modification", "reasoning": "Increase 4 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_665", "to_node": "node_666", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003150)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_666", "to_node": "node_667", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_667", "to_node": "node_668", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_668", "to_node": "node_669", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_670", "to_node": "node_671", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_671", "to_node": "node_672", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_672", "to_node": "node_673", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_673", "to_node": "node_674", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_674", "to_node": "node_675", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_675", "to_node": "node_676", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_676", "to_node": "node_677", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_678", "to_node": "node_679", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_679", "to_node": "node_680", "edge_type": "modification", "reasoning": "Increase 6 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_680", "to_node": "node_681", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_681", "to_node": "node_682", "edge_type": "modification", "reasoning": "Increase 9 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.337)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_682", "to_node": "node_683", "edge_type": "modification", "reasoning": "Increase 4 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_683", "to_node": "node_684", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_684", "to_node": "node_685", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_685", "to_node": "node_686", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_687", "to_node": "node_688", "edge_type": "modification", "reasoning": "Increase 13 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_688", "to_node": "node_689", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002882)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_689", "to_node": "node_690", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_690", "to_node": "node_691", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_691", "to_node": "node_692", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_692", "to_node": "node_693", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_693", "to_node": "node_694", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_695", "to_node": "node_696", "edge_type": "modification", "reasoning": "Increase 12 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_696", "to_node": "node_697", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_697", "to_node": "node_698", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_698", "to_node": "node_699", "edge_type": "modification", "reasoning": "Increase 5 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_699", "to_node": "node_700", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_700", "to_node": "node_701", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_702", "to_node": "node_703", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_703", "to_node": "node_704", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_704", "to_node": "node_705", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_705", "to_node": "node_706", "edge_type": "modification", "reasoning": "Increase 0 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.361)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_706", "to_node": "node_707", "edge_type": "modification", "reasoning": "Increase 4 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.366)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_707", "to_node": "node_708", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_708", "to_node": "node_709", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_710", "to_node": "node_711", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_711", "to_node": "node_712", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_712", "to_node": "node_713", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_713", "to_node": "node_714", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_714", "to_node": "node_715", "edge_type": "modification", "reasoning": "Increase 4 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.196)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_715", "to_node": "node_716", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_717", "to_node": "node_718", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004288)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_718", "to_node": "node_719", "edge_type": "modification", "reasoning": "Increase 8 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_719", "to_node": "node_720", "edge_type": "modification", "reasoning": "Increase 10 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.490)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_720", "to_node": "node_721", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_721", "to_node": "node_722", "edge_type": "modification", "reasoning": "Increase 15 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.650)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_722", "to_node": "node_723", "edge_type": "modification", "reasoning": "Increase 13 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.316)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_723", "to_node": "node_724", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_725", "to_node": "node_726", "edge_type": "modification", "reasoning": "Increase 10 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_726", "to_node": "node_727", "edge_type": "modification", "reasoning": "Increase 1 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_727", "to_node": "node_728", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_728", "to_node": "node_729", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_730", "to_node": "node_731", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_731", "to_node": "node_732", "edge_type": "modification", "reasoning": "Increase 5 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_732", "to_node": "node_733", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_733", "to_node": "node_734", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_735", "to_node": "node_736", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003741)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_736", "to_node": "node_737", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003942)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_737", "to_node": "node_738", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_738", "to_node": "node_739", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_739", "to_node": "node_740", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_741", "to_node": "node_742", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003482)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_742", "to_node": "node_743", "edge_type": "modification", "reasoning": "Increase 10 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.460)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_743", "to_node": "node_744", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_744", "to_node": "node_745", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003776)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_745", "to_node": "node_746", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_746", "to_node": "node_747", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_747", "to_node": "node_748", "edge_type": "modification", "reasoning": "Increase 9 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.538)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_748", "to_node": "node_749", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_750", "to_node": "node_751", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001436)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_751", "to_node": "node_752", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002985)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_752", "to_node": "node_753", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_753", "to_node": "node_754", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_754", "to_node": "node_755", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_755", "to_node": "node_756", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_757", "to_node": "node_758", "edge_type": "modification", "reasoning": "Increase 2 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_758", "to_node": "node_759", "edge_type": "modification", "reasoning": "Increase 4 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_759", "to_node": "node_760", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_760", "to_node": "node_761", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_761", "to_node": "node_762", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_762", "to_node": "node_763", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_763", "to_node": "node_764", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_765", "to_node": "node_766", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_766", "to_node": "node_767", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003943)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_767", "to_node": "node_768", "edge_type": "modification", "reasoning": "Increase 5 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_768", "to_node": "node_769", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_769", "to_node": "node_770", "edge_type": "modification", "reasoning": "Increase 10 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.575)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_770", "to_node": "node_771", "edge_type": "modification", "reasoning": "Increase 6 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_771", "to_node": "node_772", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_773", "to_node": "node_774", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_774", "to_node": "node_775", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_775", "to_node": "node_776", "edge_type": "modification", "reasoning": "Increase 3 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.534)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_776", "to_node": "node_777", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_777", "to_node": "node_778", "edge_type": "modification", "reasoning": "Increase 9 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.422)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_778", "to_node": "node_779", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_780", "to_node": "node_781", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_781", "to_node": "node_782", "edge_type": "modification", "reasoning": "Increase 7 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_782", "to_node": "node_783", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_783", "to_node": "node_784", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_784", "to_node": "node_785", "edge_type": "modification", "reasoning": "Increase 14 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_785", "to_node": "node_786", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_786", "to_node": "node_787", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_788", "to_node": "node_789", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_789", "to_node": "node_790", "edge_type": "modification", "reasoning": "Increase 3 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.546)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_790", "to_node": "node_791", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_791", "to_node": "node_792", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_792", "to_node": "node_793", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_794", "to_node": "node_795", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_795", "to_node": "node_796", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003688)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_796", "to_node": "node_797", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_797", "to_node": "node_798", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_798", "to_node": "node_799", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_800", "to_node": "node_801", "edge_type": "modification", "reasoning": "Increase 2 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.608)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_801", "to_node": "node_802", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_802", "to_node": "node_803", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_803", "to_node": "node_804", "edge_type": "modification", "reasoning": "Increase 10 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.355)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_804", "to_node": "node_805", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_806", "to_node": "node_807", "edge_type": "modification", "reasoning": "Increase 7 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_807", "to_node": "node_808", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_808", "to_node": "node_809", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_809", "to_node": "node_810", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_810", "to_node": "node_811", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_811", "to_node": "node_812", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004772)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_812", "to_node": "node_813", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_813", "to_node": "node_814", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_815", "to_node": "node_816", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_816", "to_node": "node_817", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_817", "to_node": "node_818", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_818", "to_node": "node_819", "edge_type": "modification", "reasoning": "Increase 13 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_819", "to_node": "node_820", "edge_type": "modification", "reasoning": "Increase 3 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_820", "to_node": "node_821", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_822", "to_node": "node_823", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_823", "to_node": "node_824", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002799)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_824", "to_node": "node_825", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_825", "to_node": "node_826", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_826", "to_node": "node_827", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_827", "to_node": "node_828", "edge_type": "modification", "reasoning": "Increase 12 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.435)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_828", "to_node": "node_829", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_829", "to_node": "node_830", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_831", "to_node": "node_832", "edge_type": "modification", "reasoning": "Increase 7 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_832", "to_node": "node_833", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_833", "to_node": "node_834", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_834", "to_node": "node_835", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_835", "to_node": "node_836", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_837", "to_node": "node_838", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_838", "to_node": "node_839", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_839", "to_node": "node_840", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_840", "to_node": "node_841", "edge_type": "modification", "reasoning": "Increase 9 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_841", "to_node": "node_842", "edge_type": "modification", "reasoning": "Increase 7 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.376)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_842", "to_node": "node_843", "edge_type": "modification", "reasoning": "Increase 7 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_843", "to_node": "node_844", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_845", "to_node": "node_846", "edge_type": "modification", "reasoning": "Increase 5 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_846", "to_node": "node_847", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_847", "to_node": "node_848", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_848", "to_node": "node_849", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_849", "to_node": "node_850", "edge_type": "modification", "reasoning": "Increase 9 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.517)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_850", "to_node": "node_851", "edge_type": "modification", "reasoning": "Increase 1 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_851", "to_node": "node_852", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_853", "to_node": "node_854", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002113)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_854", "to_node": "node_855", "edge_type": "modification", "reasoning": "Increase 5 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_855", "to_node": "node_856", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004392)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_856", "to_node": "node_857", "edge_type": "modification", "reasoning": "Increase 3 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.493)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_857", "to_node": "node_858", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_858", "to_node": "node_859", "edge_type": "modification", "reasoning": "Increase 6 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.376)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_859", "to_node": "node_860", "edge_type": "modification", "reasoning": "Increase 14 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_860", "to_node": "node_861", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_862", "to_node": "node_863", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_863", "to_node": "node_864", "edge_type": "modification", "reasoning": "Increase 8 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_864", "to_node": "node_865", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003502)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_865", "to_node": "node_866", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_866", "to_node": "node_867", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_867", "to_node": "node_868", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_869", "to_node": "node_870", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002870)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_870", "to_node": "node_871", "edge_type": "modification", "reasoning": "Increase 7 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_871", "to_node": "node_872", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_872", "to_node": "node_873", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_873", "to_node": "node_874", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_875", "to_node": "node_876", "edge_type": "modification", "reasoning": "Increase 8 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.468)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_876", "to_node": "node_877", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_877", "to_node": "node_878", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_878", "to_node": "node_879", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_879", "to_node": "node_880", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_880", "to_node": "node_881", "edge_type": "modification", "reasoning": "Increase 7 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_881", "to_node": "node_882", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_883", "to_node": "node_884", "edge_type": "modification", "reasoning": "Increase 0 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_884", "to_node": "node_885", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_885", "to_node": "node_886", "edge_type": "modification", "reasoning": "Increase 5 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.404)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_886", "to_node": "node_887", "edge_type": "modification", "reasoning": "Increase 5 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_887", "to_node": "node_888", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_889", "to_node": "node_890", "edge_type": "modification", "reasoning": "Increase 4 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.520)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_890", "to_node": "node_891", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003191)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_891", "to_node": "node_892", "edge_type": "modification", "reasoning": "Increase 3 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_892", "to_node": "node_893", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_893", "to_node": "node_894", "edge_type": "modification", "reasoning": "Increase 11 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_894", "to_node": "node_895", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_895", "to_node": "node_896", "edge_type": "modification", "reasoning": "Increase 10 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.348)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_896", "to_node": "node_897", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_898", "to_node": "node_899", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003001)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_899", "to_node": "node_900", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_900", "to_node": "node_901", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_901", "to_node": "node_902", "edge_type": "modification", "reasoning": "Increase 6 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.451)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_902", "to_node": "node_903", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_903", "to_node": "node_904", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_904", "to_node": "node_905", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_905", "to_node": "node_906", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_907", "to_node": "node_908", "edge_type": "modification", "reasoning": "Increase 7 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.393)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_908", "to_node": "node_909", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_909", "to_node": "node_910", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_910", "to_node": "node_911", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_912", "to_node": "node_913", "edge_type": "modification", "reasoning": "Increase 10 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_913", "to_node": "node_914", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.001782)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_914", "to_node": "node_915", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_915", "to_node": "node_916", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_916", "to_node": "node_917", "edge_type": "modification", "reasoning": "Increase 5 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_917", "to_node": "node_918", "edge_type": "modification", "reasoning": "Increase 8 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_918", "to_node": "node_919", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_920", "to_node": "node_921", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_921", "to_node": "node_922", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_922", "to_node": "node_923", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_923", "to_node": "node_924", "edge_type": "modification", "reasoning": "Increase 5 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_924", "to_node": "node_925", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_925", "to_node": "node_926", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_927", "to_node": "node_928", "edge_type": "modification", "reasoning": "Increase 4 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_928", "to_node": "node_929", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_929", "to_node": "node_930", "edge_type": "modification", "reasoning": "Increase 0 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_930", "to_node": "node_931", "edge_type": "modification", "reasoning": "Increase 3 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.355)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_931", "to_node": "node_932", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003574)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_932", "to_node": "node_933", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_933", "to_node": "node_934", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_934", "to_node": "node_935", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_936", "to_node": "node_937", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001384)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_937", "to_node": "node_938", "edge_type": "modification", "reasoning": "Increase 11 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.355)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_938", "to_node": "node_939", "edge_type": "modification", "reasoning": "Increase 11 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_939", "to_node": "node_940", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_940", "to_node": "node_941", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_941", "to_node": "node_942", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_942", "to_node": "node_943", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_943", "to_node": "node_944", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_945", "to_node": "node_946", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_946", "to_node": "node_947", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_947", "to_node": "node_948", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_948", "to_node": "node_949", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_950", "to_node": "node_951", "edge_type": "modification", "reasoning": "Increase 7 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_951", "to_node": "node_952", "edge_type": "modification", "reasoning": "Increase 11 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_952", "to_node": "node_953", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002814)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_953", "to_node": "node_954", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_954", "to_node": "node_955", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_955", "to_node": "node_956", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_956", "to_node": "node_957", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_958", "to_node": "node_959", "edge_type": "modification", "reasoning": "Increase 9 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_959", "to_node": "node_960", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_960", "to_node": "node_961", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_961", "to_node": "node_962", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_962", "to_node": "node_963", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_963", "to_node": "node_964", "edge_type": "modification", "reasoning": "Increase 13 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.603)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_964", "to_node": "node_965", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_966", "to_node": "node_967", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002666)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_967", "to_node": "node_968", "edge_type": "modification", "reasoning": "Increase 13 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_968", "to_node": "node_969", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_969", "to_node": "node_970", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_971", "to_node": "node_972", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_972", "to_node": "node_973", "edge_type": "modification", "reasoning": "Increase 13 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.541)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_973", "to_node": "node_974", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_974", "to_node": "node_975", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_975", "to_node": "node_976", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_976", "to_node": "node_977", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_978", "to_node": "node_979", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_979", "to_node": "node_980", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_980", "to_node": "node_981", "edge_type": "modification", "reasoning": "Increase 1 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.603)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_981", "to_node": "node_982", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_982", "to_node": "node_983", "edge_type": "modification", "reasoning": "Increase 11 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_983", "to_node": "node_984", "edge_type": "modification", "reasoning": "Increase 9 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_984", "to_node": "node_985", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_986", "to_node": "node_987", "edge_type": "modification", "reasoning": "Increase 4 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_987", "to_node": "node_988", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_988", "to_node": "node_989", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_989", "to_node": "node_990", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_990", "to_node": "node_991", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_992", "to_node": "node_993", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003619)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_993", "to_node": "node_994", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005141)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_994", "to_node": "node_995", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003260)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_995", "to_node": "node_996", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_996", "to_node": "node_997", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_997", "to_node": "node_998", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_998", "to_node": "node_999", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1000", "to_node": "node_1001", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1001", "to_node": "node_1002", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1002", "to_node": "node_1003", "edge_type": "modification", "reasoning": "Increase 6 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1003", "to_node": "node_1004", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1004", "to_node": "node_1005", "edge_type": "modification", "reasoning": "Increase 4 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1005", "to_node": "node_1006", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1007", "to_node": "node_1008", "edge_type": "modification", "reasoning": "Increase 4 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1008", "to_node": "node_1009", "edge_type": "modification", "reasoning": "Increase 4 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1009", "to_node": "node_1010", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1010", "to_node": "node_1011", "edge_type": "modification", "reasoning": "Increase 1 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1011", "to_node": "node_1012", "edge_type": "modification", "reasoning": "Increase 3 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1012", "to_node": "node_1013", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1014", "to_node": "node_1015", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1015", "to_node": "node_1016", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1016", "to_node": "node_1017", "edge_type": "modification", "reasoning": "Increase 7 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.381)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1017", "to_node": "node_1018", "edge_type": "modification", "reasoning": "Increase 6 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1018", "to_node": "node_1019", "edge_type": "modification", "reasoning": "Increase 14 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1019", "to_node": "node_1020", "edge_type": "modification", "reasoning": "Increase 8 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.395)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1020", "to_node": "node_1021", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1022", "to_node": "node_1023", "edge_type": "modification", "reasoning": "Increase 4 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.524)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1023", "to_node": "node_1024", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1024", "to_node": "node_1025", "edge_type": "modification", "reasoning": "Increase 7 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.608)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1025", "to_node": "node_1026", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1027", "to_node": "node_1028", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1028", "to_node": "node_1029", "edge_type": "modification", "reasoning": "Increase 2 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.374)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1029", "to_node": "node_1030", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1030", "to_node": "node_1031", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004104)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1031", "to_node": "node_1032", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1032", "to_node": "node_1033", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1034", "to_node": "node_1035", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1035", "to_node": "node_1036", "edge_type": "modification", "reasoning": "Increase 2 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1036", "to_node": "node_1037", "edge_type": "modification", "reasoning": "Increase 13 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1037", "to_node": "node_1038", "edge_type": "modification", "reasoning": "Increase 11 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.595)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1038", "to_node": "node_1039", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1039", "to_node": "node_1040", "edge_type": "modification", "reasoning": "Increase 14 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1040", "to_node": "node_1041", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1042", "to_node": "node_1043", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002898)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1043", "to_node": "node_1044", "edge_type": "modification", "reasoning": "Increase 9 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1044", "to_node": "node_1045", "edge_type": "modification", "reasoning": "Increase 11 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.621)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1045", "to_node": "node_1046", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003738)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1046", "to_node": "node_1047", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1047", "to_node": "node_1048", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1049", "to_node": "node_1050", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1050", "to_node": "node_1051", "edge_type": "modification", "reasoning": "Increase 2 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1051", "to_node": "node_1052", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1052", "to_node": "node_1053", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1054", "to_node": "node_1055", "edge_type": "modification", "reasoning": "Increase 8 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1055", "to_node": "node_1056", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003084)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1056", "to_node": "node_1057", "edge_type": "modification", "reasoning": "Increase 0 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1057", "to_node": "node_1058", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1058", "to_node": "node_1059", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1059", "to_node": "node_1060", "edge_type": "modification", "reasoning": "Increase 3 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.420)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1060", "to_node": "node_1061", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1062", "to_node": "node_1063", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1063", "to_node": "node_1064", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002777)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1064", "to_node": "node_1065", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1065", "to_node": "node_1066", "edge_type": "modification", "reasoning": "Increase 1 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.414)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1066", "to_node": "node_1067", "edge_type": "modification", "reasoning": "Increase 13 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.418)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1067", "to_node": "node_1068", "edge_type": "modification", "reasoning": "Increase 5 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.572)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1068", "to_node": "node_1069", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1070", "to_node": "node_1071", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.001642)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1071", "to_node": "node_1072", "edge_type": "modification", "reasoning": "Increase 3 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.600)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1072", "to_node": "node_1073", "edge_type": "modification", "reasoning": "Increase 1 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1073", "to_node": "node_1074", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1074", "to_node": "node_1075", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003856)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1075", "to_node": "node_1076", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003422)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1076", "to_node": "node_1077", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1077", "to_node": "node_1078", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1079", "to_node": "node_1080", "edge_type": "modification", "reasoning": "Increase 2 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.550)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1080", "to_node": "node_1081", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1081", "to_node": "node_1082", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1082", "to_node": "node_1083", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1084", "to_node": "node_1085", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1085", "to_node": "node_1086", "edge_type": "modification", "reasoning": "Increase 8 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1086", "to_node": "node_1087", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1087", "to_node": "node_1088", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1088", "to_node": "node_1089", "edge_type": "modification", "reasoning": "Increase 0 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.587)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1089", "to_node": "node_1090", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1091", "to_node": "node_1092", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1092", "to_node": "node_1093", "edge_type": "modification", "reasoning": "Increase 8 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.466)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1093", "to_node": "node_1094", "edge_type": "modification", "reasoning": "Increase 12 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1094", "to_node": "node_1095", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1095", "to_node": "node_1096", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1096", "to_node": "node_1097", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1097", "to_node": "node_1098", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1099", "to_node": "node_1100", "edge_type": "modification", "reasoning": "Increase 11 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1100", "to_node": "node_1101", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1101", "to_node": "node_1102", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003775)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1102", "to_node": "node_1103", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1103", "to_node": "node_1104", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1105", "to_node": "node_1106", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1106", "to_node": "node_1107", "edge_type": "modification", "reasoning": "Increase 5 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.484)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1107", "to_node": "node_1108", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1108", "to_node": "node_1109", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1110", "to_node": "node_1111", "edge_type": "modification", "reasoning": "Increase 9 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1111", "to_node": "node_1112", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003633)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1112", "to_node": "node_1113", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004484)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1113", "to_node": "node_1114", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1114", "to_node": "node_1115", "edge_type": "modification", "reasoning": "Increase 0 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1115", "to_node": "node_1116", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1117", "to_node": "node_1118", "edge_type": "modification", "reasoning": "Increase 12 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1118", "to_node": "node_1119", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1119", "to_node": "node_1120", "edge_type": "modification", "reasoning": "Increase 4 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1120", "to_node": "node_1121", "edge_type": "modification", "reasoning": "Increase 0 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.580)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1121", "to_node": "node_1122", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1122", "to_node": "node_1123", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1123", "to_node": "node_1124", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1125", "to_node": "node_1126", "edge_type": "modification", "reasoning": "Increase 6 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1126", "to_node": "node_1127", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1127", "to_node": "node_1128", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1128", "to_node": "node_1129", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003210)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1129", "to_node": "node_1130", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1130", "to_node": "node_1131", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1131", "to_node": "node_1132", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1133", "to_node": "node_1134", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1134", "to_node": "node_1135", "edge_type": "modification", "reasoning": "Increase 7 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1135", "to_node": "node_1136", "edge_type": "modification", "reasoning": "Increase 6 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1136", "to_node": "node_1137", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1137", "to_node": "node_1138", "edge_type": "modification", "reasoning": "Increase 5 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.575)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1138", "to_node": "node_1139", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1139", "to_node": "node_1140", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1141", "to_node": "node_1142", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.001955)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1142", "to_node": "node_1143", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1143", "to_node": "node_1144", "edge_type": "modification", "reasoning": "Increase 2 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1144", "to_node": "node_1145", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1145", "to_node": "node_1146", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1146", "to_node": "node_1147", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002744)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1147", "to_node": "node_1148", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1148", "to_node": "node_1149", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1150", "to_node": "node_1151", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1151", "to_node": "node_1152", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1152", "to_node": "node_1153", "edge_type": "modification", "reasoning": "Increase 12 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1153", "to_node": "node_1154", "edge_type": "modification", "reasoning": "Increase 14 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.493)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1154", "to_node": "node_1155", "edge_type": "modification", "reasoning": "Increase 12 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1155", "to_node": "node_1156", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1156", "to_node": "node_1157", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1158", "to_node": "node_1159", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1159", "to_node": "node_1160", "edge_type": "modification", "reasoning": "Increase 5 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1160", "to_node": "node_1161", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1161", "to_node": "node_1162", "edge_type": "modification", "reasoning": "Increase 6 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.393)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1162", "to_node": "node_1163", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1163", "to_node": "node_1164", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1165", "to_node": "node_1166", "edge_type": "modification", "reasoning": "Increase 5 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.479)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1166", "to_node": "node_1167", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003025)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1167", "to_node": "node_1168", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1168", "to_node": "node_1169", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1169", "to_node": "node_1170", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1171", "to_node": "node_1172", "edge_type": "modification", "reasoning": "Increase 13 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.374)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1172", "to_node": "node_1173", "edge_type": "modification", "reasoning": "Increase 14 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1173", "to_node": "node_1174", "edge_type": "modification", "reasoning": "Increase 3 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.517)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1174", "to_node": "node_1175", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1176", "to_node": "node_1177", "edge_type": "modification", "reasoning": "Increase 6 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1177", "to_node": "node_1178", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1178", "to_node": "node_1179", "edge_type": "modification", "reasoning": "Increase 7 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1179", "to_node": "node_1180", "edge_type": "modification", "reasoning": "Increase 7 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.477)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1180", "to_node": "node_1181", "edge_type": "modification", "reasoning": "Increase 10 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.490)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1181", "to_node": "node_1182", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1182", "to_node": "node_1183", "edge_type": "modification", "reasoning": "Increase 3 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.305)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1183", "to_node": "node_1184", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1185", "to_node": "node_1186", "edge_type": "modification", "reasoning": "Increase 9 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.305)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1186", "to_node": "node_1187", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004741)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1187", "to_node": "node_1188", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1188", "to_node": "node_1189", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1189", "to_node": "node_1190", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1191", "to_node": "node_1192", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1192", "to_node": "node_1193", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002909)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1193", "to_node": "node_1194", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1194", "to_node": "node_1195", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1196", "to_node": "node_1197", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1197", "to_node": "node_1198", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1198", "to_node": "node_1199", "edge_type": "modification", "reasoning": "Increase 12 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.497)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1199", "to_node": "node_1200", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1200", "to_node": "node_1201", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1201", "to_node": "node_1202", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1203", "to_node": "node_1204", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004508)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1204", "to_node": "node_1205", "edge_type": "modification", "reasoning": "Increase 9 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1205", "to_node": "node_1206", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003769)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1206", "to_node": "node_1207", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1207", "to_node": "node_1208", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1209", "to_node": "node_1210", "edge_type": "modification", "reasoning": "Increase 6 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1210", "to_node": "node_1211", "edge_type": "modification", "reasoning": "Increase 1 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.393)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1211", "to_node": "node_1212", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003864)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1212", "to_node": "node_1213", "edge_type": "modification", "reasoning": "Increase 9 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1213", "to_node": "node_1214", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1214", "to_node": "node_1215", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1215", "to_node": "node_1216", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1216", "to_node": "node_1217", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1218", "to_node": "node_1219", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1219", "to_node": "node_1220", "edge_type": "modification", "reasoning": "Increase 12 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.350)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1220", "to_node": "node_1221", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1221", "to_node": "node_1222", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1223", "to_node": "node_1224", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1224", "to_node": "node_1225", "edge_type": "modification", "reasoning": "Increase 10 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1225", "to_node": "node_1226", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1226", "to_node": "node_1227", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003137)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1227", "to_node": "node_1228", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1228", "to_node": "node_1229", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1229", "to_node": "node_1230", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1230", "to_node": "node_1231", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1232", "to_node": "node_1233", "edge_type": "modification", "reasoning": "Increase 4 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1233", "to_node": "node_1234", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004153)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1234", "to_node": "node_1235", "edge_type": "modification", "reasoning": "Increase 10 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.541)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1235", "to_node": "node_1236", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003364)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1236", "to_node": "node_1237", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1237", "to_node": "node_1238", "edge_type": "modification", "reasoning": "Increase 8 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1238", "to_node": "node_1239", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1239", "to_node": "node_1240", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1241", "to_node": "node_1242", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1242", "to_node": "node_1243", "edge_type": "modification", "reasoning": "Increase 10 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1243", "to_node": "node_1244", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1244", "to_node": "node_1245", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1246", "to_node": "node_1247", "edge_type": "modification", "reasoning": "Increase 7 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1247", "to_node": "node_1248", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1248", "to_node": "node_1249", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1249", "to_node": "node_1250", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003969)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1250", "to_node": "node_1251", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003523)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1251", "to_node": "node_1252", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1252", "to_node": "node_1253", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1254", "to_node": "node_1255", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1255", "to_node": "node_1256", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1256", "to_node": "node_1257", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1257", "to_node": "node_1258", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1258", "to_node": "node_1259", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1259", "to_node": "node_1260", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1260", "to_node": "node_1261", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1261", "to_node": "node_1262", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1263", "to_node": "node_1264", "edge_type": "modification", "reasoning": "Increase 7 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.642)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1264", "to_node": "node_1265", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1265", "to_node": "node_1266", "edge_type": "modification", "reasoning": "Increase 12 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1266", "to_node": "node_1267", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1268", "to_node": "node_1269", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1269", "to_node": "node_1270", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1270", "to_node": "node_1271", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003546)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1271", "to_node": "node_1272", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1272", "to_node": "node_1273", "edge_type": "modification", "reasoning": "Increase 1 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.502)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1273", "to_node": "node_1274", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1274", "to_node": "node_1275", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1276", "to_node": "node_1277", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1277", "to_node": "node_1278", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1278", "to_node": "node_1279", "edge_type": "modification", "reasoning": "Increase 14 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.515)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1279", "to_node": "node_1280", "edge_type": "modification", "reasoning": "Increase 7 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1280", "to_node": "node_1281", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1281", "to_node": "node_1282", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1282", "to_node": "node_1283", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1284", "to_node": "node_1285", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1285", "to_node": "node_1286", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.000907)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1286", "to_node": "node_1287", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1287", "to_node": "node_1288", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1288", "to_node": "node_1289", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1289", "to_node": "node_1290", "edge_type": "modification", "reasoning": "Increase 8 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1290", "to_node": "node_1291", "edge_type": "modification", "reasoning": "Increase 8 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.495)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1291", "to_node": "node_1292", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1293", "to_node": "node_1294", "edge_type": "modification", "reasoning": "Increase 5 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.508)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1294", "to_node": "node_1295", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1295", "to_node": "node_1296", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1296", "to_node": "node_1297", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003201)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1297", "to_node": "node_1298", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1298", "to_node": "node_1299", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1300", "to_node": "node_1301", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1301", "to_node": "node_1302", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1302", "to_node": "node_1303", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1303", "to_node": "node_1304", "edge_type": "modification", "reasoning": "Increase 0 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1304", "to_node": "node_1305", "edge_type": "modification", "reasoning": "Increase 2 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1305", "to_node": "node_1306", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1306", "to_node": "node_1307", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1308", "to_node": "node_1309", "edge_type": "modification", "reasoning": "Increase 12 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.456)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1309", "to_node": "node_1310", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1310", "to_node": "node_1311", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1311", "to_node": "node_1312", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1312", "to_node": "node_1313", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1313", "to_node": "node_1314", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1314", "to_node": "node_1315", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1315", "to_node": "node_1316", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1317", "to_node": "node_1318", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003329)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1318", "to_node": "node_1319", "edge_type": "modification", "reasoning": "Increase 9 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.456)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1319", "to_node": "node_1320", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1320", "to_node": "node_1321", "edge_type": "modification", "reasoning": "Increase 4 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1321", "to_node": "node_1322", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1322", "to_node": "node_1323", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1324", "to_node": "node_1325", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1325", "to_node": "node_1326", "edge_type": "modification", "reasoning": "Increase 12 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1326", "to_node": "node_1327", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1327", "to_node": "node_1328", "edge_type": "modification", "reasoning": "Increase 1 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1328", "to_node": "node_1329", "edge_type": "modification", "reasoning": "Increase 10 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1329", "to_node": "node_1330", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1330", "to_node": "node_1331", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1332", "to_node": "node_1333", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001908)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1333", "to_node": "node_1334", "edge_type": "modification", "reasoning": "Increase 9 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1334", "to_node": "node_1335", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1335", "to_node": "node_1336", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1336", "to_node": "node_1337", "edge_type": "modification", "reasoning": "Increase 10 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.376)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1337", "to_node": "node_1338", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1338", "to_node": "node_1339", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1340", "to_node": "node_1341", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1341", "to_node": "node_1342", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1342", "to_node": "node_1343", "edge_type": "modification", "reasoning": "Increase 2 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.316)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1343", "to_node": "node_1344", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1344", "to_node": "node_1345", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003111)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1345", "to_node": "node_1346", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1346", "to_node": "node_1347", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1347", "to_node": "node_1348", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1349", "to_node": "node_1350", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003689)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1350", "to_node": "node_1351", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1351", "to_node": "node_1352", "edge_type": "modification", "reasoning": "Increase 2 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1352", "to_node": "node_1353", "edge_type": "modification", "reasoning": "Increase 6 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.395)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1353", "to_node": "node_1354", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1355", "to_node": "node_1356", "edge_type": "modification", "reasoning": "Increase 3 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.439)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1356", "to_node": "node_1357", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1357", "to_node": "node_1358", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1358", "to_node": "node_1359", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1359", "to_node": "node_1360", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1360", "to_node": "node_1361", "edge_type": "modification", "reasoning": "Increase 10 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.466)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1361", "to_node": "node_1362", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1363", "to_node": "node_1364", "edge_type": "modification", "reasoning": "Increase 6 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.439)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1364", "to_node": "node_1365", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004103)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1365", "to_node": "node_1366", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1366", "to_node": "node_1367", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1367", "to_node": "node_1368", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1369", "to_node": "node_1370", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1370", "to_node": "node_1371", "edge_type": "modification", "reasoning": "Increase 6 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1371", "to_node": "node_1372", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1372", "to_node": "node_1373", "edge_type": "modification", "reasoning": "Increase 8 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1373", "to_node": "node_1374", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1375", "to_node": "node_1376", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003375)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1376", "to_node": "node_1377", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001886)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1377", "to_node": "node_1378", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003922)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1378", "to_node": "node_1379", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004037)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1379", "to_node": "node_1380", "edge_type": "modification", "reasoning": "Increase 3 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.364)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1380", "to_node": "node_1381", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1381", "to_node": "node_1382", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1383", "to_node": "node_1384", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002298)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1384", "to_node": "node_1385", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1385", "to_node": "node_1386", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1386", "to_node": "node_1387", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1388", "to_node": "node_1389", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1389", "to_node": "node_1390", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002680)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1390", "to_node": "node_1391", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003559)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1391", "to_node": "node_1392", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1392", "to_node": "node_1393", "edge_type": "modification", "reasoning": "Increase 14 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1393", "to_node": "node_1394", "edge_type": "modification", "reasoning": "Increase 9 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1394", "to_node": "node_1395", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1396", "to_node": "node_1397", "edge_type": "modification", "reasoning": "Increase 5 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1397", "to_node": "node_1398", "edge_type": "modification", "reasoning": "Increase 12 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.546)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1398", "to_node": "node_1399", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003464)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1399", "to_node": "node_1400", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1400", "to_node": "node_1401", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1401", "to_node": "node_1402", "edge_type": "modification", "reasoning": "Increase 1 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1402", "to_node": "node_1403", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1403", "to_node": "node_1404", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1405", "to_node": "node_1406", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002104)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1406", "to_node": "node_1407", "edge_type": "modification", "reasoning": "Increase 7 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1407", "to_node": "node_1408", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1408", "to_node": "node_1409", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1410", "to_node": "node_1411", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1411", "to_node": "node_1412", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004432)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1412", "to_node": "node_1413", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1413", "to_node": "node_1414", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1415", "to_node": "node_1416", "edge_type": "modification", "reasoning": "Increase 9 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.406)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1416", "to_node": "node_1417", "edge_type": "modification", "reasoning": "Increase 13 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1417", "to_node": "node_1418", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002701)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1418", "to_node": "node_1419", "edge_type": "modification", "reasoning": "Increase 1 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.437)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1419", "to_node": "node_1420", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003586)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1420", "to_node": "node_1421", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1421", "to_node": "node_1422", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1423", "to_node": "node_1424", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1424", "to_node": "node_1425", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1425", "to_node": "node_1426", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003934)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1426", "to_node": "node_1427", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1427", "to_node": "node_1428", "edge_type": "modification", "reasoning": "Increase 7 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.629)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1428", "to_node": "node_1429", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1429", "to_node": "node_1430", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1431", "to_node": "node_1432", "edge_type": "modification", "reasoning": "Increase 3 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1432", "to_node": "node_1433", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1433", "to_node": "node_1434", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1434", "to_node": "node_1435", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1435", "to_node": "node_1436", "edge_type": "modification", "reasoning": "Increase 2 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.412)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1436", "to_node": "node_1437", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1437", "to_node": "node_1438", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1438", "to_node": "node_1439", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1440", "to_node": "node_1441", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1441", "to_node": "node_1442", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1442", "to_node": "node_1443", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003541)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1443", "to_node": "node_1444", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1444", "to_node": "node_1445", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1446", "to_node": "node_1447", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1447", "to_node": "node_1448", "edge_type": "modification", "reasoning": "Increase 3 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1448", "to_node": "node_1449", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003023)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1449", "to_node": "node_1450", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1450", "to_node": "node_1451", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1451", "to_node": "node_1452", "edge_type": "modification", "reasoning": "Increase 12 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.447)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1452", "to_node": "node_1453", "edge_type": "modification", "reasoning": "Increase 11 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.418)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1453", "to_node": "node_1454", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1455", "to_node": "node_1456", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004062)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1456", "to_node": "node_1457", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1457", "to_node": "node_1458", "edge_type": "modification", "reasoning": "Increase 10 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1458", "to_node": "node_1459", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1460", "to_node": "node_1461", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1461", "to_node": "node_1462", "edge_type": "modification", "reasoning": "Increase 4 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1462", "to_node": "node_1463", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1463", "to_node": "node_1464", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1465", "to_node": "node_1466", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1466", "to_node": "node_1467", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1467", "to_node": "node_1468", "edge_type": "modification", "reasoning": "Increase 11 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1468", "to_node": "node_1469", "edge_type": "modification", "reasoning": "Increase 7 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.629)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1469", "to_node": "node_1470", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1470", "to_node": "node_1471", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1472", "to_node": "node_1473", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003851)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1473", "to_node": "node_1474", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001800)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1474", "to_node": "node_1475", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1475", "to_node": "node_1476", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004781)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1476", "to_node": "node_1477", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1477", "to_node": "node_1478", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1479", "to_node": "node_1480", "edge_type": "modification", "reasoning": "Increase 12 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.504)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1480", "to_node": "node_1481", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004105)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1481", "to_node": "node_1482", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1482", "to_node": "node_1483", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003693)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1483", "to_node": "node_1484", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1484", "to_node": "node_1485", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1486", "to_node": "node_1487", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003676)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1487", "to_node": "node_1488", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1488", "to_node": "node_1489", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002972)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1489", "to_node": "node_1490", "edge_type": "modification", "reasoning": "Increase 13 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.449)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1490", "to_node": "node_1491", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1491", "to_node": "node_1492", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1493", "to_node": "node_1494", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1494", "to_node": "node_1495", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002049)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1495", "to_node": "node_1496", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1496", "to_node": "node_1497", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003338)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1497", "to_node": "node_1498", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1498", "to_node": "node_1499", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1500", "to_node": "node_1501", "edge_type": "modification", "reasoning": "Increase 9 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1501", "to_node": "node_1502", "edge_type": "modification", "reasoning": "Increase 10 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1502", "to_node": "node_1503", "edge_type": "modification", "reasoning": "Increase 5 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1503", "to_node": "node_1504", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1504", "to_node": "node_1505", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1506", "to_node": "node_1507", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1507", "to_node": "node_1508", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1508", "to_node": "node_1509", "edge_type": "modification", "reasoning": "Increase 6 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1509", "to_node": "node_1510", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1510", "to_node": "node_1511", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1512", "to_node": "node_1513", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002822)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1513", "to_node": "node_1514", "edge_type": "modification", "reasoning": "Increase 12 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1514", "to_node": "node_1515", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1515", "to_node": "node_1516", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1517", "to_node": "node_1518", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003451)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1518", "to_node": "node_1519", "edge_type": "modification", "reasoning": "Increase 0 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.412)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1519", "to_node": "node_1520", "edge_type": "modification", "reasoning": "Increase 8 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.372)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1520", "to_node": "node_1521", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1521", "to_node": "node_1522", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1522", "to_node": "node_1523", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1524", "to_node": "node_1525", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001581)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1525", "to_node": "node_1526", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1526", "to_node": "node_1527", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1527", "to_node": "node_1528", "edge_type": "modification", "reasoning": "Increase 11 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.414)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1528", "to_node": "node_1529", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1529", "to_node": "node_1530", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1530", "to_node": "node_1531", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1531", "to_node": "node_1532", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1533", "to_node": "node_1534", "edge_type": "modification", "reasoning": "Increase 4 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.506)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1534", "to_node": "node_1535", "edge_type": "modification", "reasoning": "Increase 0 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1535", "to_node": "node_1536", "edge_type": "modification", "reasoning": "Increase 0 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1536", "to_node": "node_1537", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1537", "to_node": "node_1538", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1538", "to_node": "node_1539", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1539", "to_node": "node_1540", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1541", "to_node": "node_1542", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003704)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1542", "to_node": "node_1543", "edge_type": "modification", "reasoning": "Increase 10 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1543", "to_node": "node_1544", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1544", "to_node": "node_1545", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002440)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1545", "to_node": "node_1546", "edge_type": "modification", "reasoning": "Increase 2 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1546", "to_node": "node_1547", "edge_type": "modification", "reasoning": "Increase 12 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.610)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1547", "to_node": "node_1548", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1548", "to_node": "node_1549", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1550", "to_node": "node_1551", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1551", "to_node": "node_1552", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1552", "to_node": "node_1553", "edge_type": "modification", "reasoning": "Increase 12 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1553", "to_node": "node_1554", "edge_type": "modification", "reasoning": "Increase 9 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1554", "to_node": "node_1555", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003135)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1555", "to_node": "node_1556", "edge_type": "modification", "reasoning": "Increase 5 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1556", "to_node": "node_1557", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1558", "to_node": "node_1559", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003585)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1559", "to_node": "node_1560", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001915)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1560", "to_node": "node_1561", "edge_type": "modification", "reasoning": "Increase 10 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.585)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1561", "to_node": "node_1562", "edge_type": "modification", "reasoning": "Increase 12 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.372)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1562", "to_node": "node_1563", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1563", "to_node": "node_1564", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1564", "to_node": "node_1565", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1566", "to_node": "node_1567", "edge_type": "modification", "reasoning": "Increase 10 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1567", "to_node": "node_1568", "edge_type": "modification", "reasoning": "Increase 1 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1568", "to_node": "node_1569", "edge_type": "modification", "reasoning": "Increase 2 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1569", "to_node": "node_1570", "edge_type": "modification", "reasoning": "Increase 5 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1570", "to_node": "node_1571", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1572", "to_node": "node_1573", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003987)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1573", "to_node": "node_1574", "edge_type": "modification", "reasoning": "Increase 6 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.205)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1574", "to_node": "node_1575", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005336)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1575", "to_node": "node_1576", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1576", "to_node": "node_1577", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1578", "to_node": "node_1579", "edge_type": "modification", "reasoning": "Increase 6 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.433)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1579", "to_node": "node_1580", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1580", "to_node": "node_1581", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1581", "to_node": "node_1582", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1583", "to_node": "node_1584", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1584", "to_node": "node_1585", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1585", "to_node": "node_1586", "edge_type": "modification", "reasoning": "Increase 11 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1586", "to_node": "node_1587", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1587", "to_node": "node_1588", "edge_type": "modification", "reasoning": "Increase 6 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1588", "to_node": "node_1589", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1589", "to_node": "node_1590", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1591", "to_node": "node_1592", "edge_type": "modification", "reasoning": "Increase 12 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1592", "to_node": "node_1593", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1593", "to_node": "node_1594", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1594", "to_node": "node_1595", "edge_type": "modification", "reasoning": "Increase 9 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1595", "to_node": "node_1596", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1596", "to_node": "node_1597", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1597", "to_node": "node_1598", "edge_type": "modification", "reasoning": "Increase 5 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.404)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1598", "to_node": "node_1599", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1600", "to_node": "node_1601", "edge_type": "modification", "reasoning": "Increase 4 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1601", "to_node": "node_1602", "edge_type": "modification", "reasoning": "Increase 1 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1602", "to_node": "node_1603", "edge_type": "modification", "reasoning": "Increase 4 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1603", "to_node": "node_1604", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1604", "to_node": "node_1605", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1605", "to_node": "node_1606", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1607", "to_node": "node_1608", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1608", "to_node": "node_1609", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002958)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1609", "to_node": "node_1610", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1610", "to_node": "node_1611", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1611", "to_node": "node_1612", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1613", "to_node": "node_1614", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1614", "to_node": "node_1615", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.002396)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1615", "to_node": "node_1616", "edge_type": "modification", "reasoning": "Increase 10 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.637)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1616", "to_node": "node_1617", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1617", "to_node": "node_1618", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1618", "to_node": "node_1619", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003552)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1619", "to_node": "node_1620", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1620", "to_node": "node_1621", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1622", "to_node": "node_1623", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1623", "to_node": "node_1624", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1624", "to_node": "node_1625", "edge_type": "modification", "reasoning": "Increase 6 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.477)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1625", "to_node": "node_1626", "edge_type": "modification", "reasoning": "Increase 2 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1626", "to_node": "node_1627", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1627", "to_node": "node_1628", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1629", "to_node": "node_1630", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1630", "to_node": "node_1631", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1631", "to_node": "node_1632", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1632", "to_node": "node_1633", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1634", "to_node": "node_1635", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1635", "to_node": "node_1636", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003467)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1636", "to_node": "node_1637", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1637", "to_node": "node_1638", "edge_type": "modification", "reasoning": "Increase 11 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1638", "to_node": "node_1639", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1639", "to_node": "node_1640", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1641", "to_node": "node_1642", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1642", "to_node": "node_1643", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1643", "to_node": "node_1644", "edge_type": "modification", "reasoning": "Increase 5 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.427)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1644", "to_node": "node_1645", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1645", "to_node": "node_1646", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1646", "to_node": "node_1647", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1647", "to_node": "node_1648", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1649", "to_node": "node_1650", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002122)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1650", "to_node": "node_1651", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001473)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1651", "to_node": "node_1652", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1652", "to_node": "node_1653", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1653", "to_node": "node_1654", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1654", "to_node": "node_1655", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1655", "to_node": "node_1656", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1656", "to_node": "node_1657", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1658", "to_node": "node_1659", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1659", "to_node": "node_1660", "edge_type": "modification", "reasoning": "Increase 14 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1660", "to_node": "node_1661", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1661", "to_node": "node_1662", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1663", "to_node": "node_1664", "edge_type": "modification", "reasoning": "Increase 2 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1664", "to_node": "node_1665", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1665", "to_node": "node_1666", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1666", "to_node": "node_1667", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1668", "to_node": "node_1669", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1669", "to_node": "node_1670", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1670", "to_node": "node_1671", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1671", "to_node": "node_1672", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1672", "to_node": "node_1673", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1673", "to_node": "node_1674", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1675", "to_node": "node_1676", "edge_type": "modification", "reasoning": "Increase 7 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.350)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1676", "to_node": "node_1677", "edge_type": "modification", "reasoning": "Increase 13 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.499)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1677", "to_node": "node_1678", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1678", "to_node": "node_1679", "edge_type": "modification", "reasoning": "Increase 15 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.650)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1679", "to_node": "node_1680", "edge_type": "modification", "reasoning": "Increase 5 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.335)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1680", "to_node": "node_1681", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1682", "to_node": "node_1683", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1683", "to_node": "node_1684", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1684", "to_node": "node_1685", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1685", "to_node": "node_1686", "edge_type": "modification", "reasoning": "Increase 10 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.443)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1686", "to_node": "node_1687", "edge_type": "modification", "reasoning": "Increase 13 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.587)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1687", "to_node": "node_1688", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1689", "to_node": "node_1690", "edge_type": "modification", "reasoning": "Increase 13 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1690", "to_node": "node_1691", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1691", "to_node": "node_1692", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001454)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1692", "to_node": "node_1693", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1693", "to_node": "node_1694", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004633)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1694", "to_node": "node_1695", "edge_type": "modification", "reasoning": "Increase 2 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.572)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1695", "to_node": "node_1696", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1696", "to_node": "node_1697", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1698", "to_node": "node_1699", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1699", "to_node": "node_1700", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1700", "to_node": "node_1701", "edge_type": "modification", "reasoning": "Increase 1 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1701", "to_node": "node_1702", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1702", "to_node": "node_1703", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1703", "to_node": "node_1704", "edge_type": "modification", "reasoning": "Increase 5 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.433)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1704", "to_node": "node_1705", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1706", "to_node": "node_1707", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1707", "to_node": "node_1708", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1708", "to_node": "node_1709", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1709", "to_node": "node_1710", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1711", "to_node": "node_1712", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002562)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1712", "to_node": "node_1713", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1713", "to_node": "node_1714", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1714", "to_node": "node_1715", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1715", "to_node": "node_1716", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1717", "to_node": "node_1718", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001918)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1718", "to_node": "node_1719", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003432)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1719", "to_node": "node_1720", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1720", "to_node": "node_1721", "edge_type": "modification", "reasoning": "Increase 10 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.441)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1721", "to_node": "node_1722", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004105)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1722", "to_node": "node_1723", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1723", "to_node": "node_1724", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1725", "to_node": "node_1726", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002093)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1726", "to_node": "node_1727", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1727", "to_node": "node_1728", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1728", "to_node": "node_1729", "edge_type": "modification", "reasoning": "Increase 9 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.486)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1729", "to_node": "node_1730", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1731", "to_node": "node_1732", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1732", "to_node": "node_1733", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1733", "to_node": "node_1734", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1734", "to_node": "node_1735", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1735", "to_node": "node_1736", "edge_type": "modification", "reasoning": "Increase 15 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.460)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1736", "to_node": "node_1737", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1738", "to_node": "node_1739", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003903)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1739", "to_node": "node_1740", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1740", "to_node": "node_1741", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1741", "to_node": "node_1742", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1743", "to_node": "node_1744", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1744", "to_node": "node_1745", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1745", "to_node": "node_1746", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1746", "to_node": "node_1747", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1747", "to_node": "node_1748", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1749", "to_node": "node_1750", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1750", "to_node": "node_1751", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1751", "to_node": "node_1752", "edge_type": "modification", "reasoning": "Increase 4 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.634)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1752", "to_node": "node_1753", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1754", "to_node": "node_1755", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002780)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1755", "to_node": "node_1756", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1756", "to_node": "node_1757", "edge_type": "modification", "reasoning": "Increase 12 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1757", "to_node": "node_1758", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1759", "to_node": "node_1760", "edge_type": "modification", "reasoning": "Increase 8 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1760", "to_node": "node_1761", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004888)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1761", "to_node": "node_1762", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1762", "to_node": "node_1763", "edge_type": "modification", "reasoning": "Increase 14 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1763", "to_node": "node_1764", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1765", "to_node": "node_1766", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1766", "to_node": "node_1767", "edge_type": "modification", "reasoning": "Increase 9 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1767", "to_node": "node_1768", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1768", "to_node": "node_1769", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1769", "to_node": "node_1770", "edge_type": "modification", "reasoning": "Increase 14 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.401)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1770", "to_node": "node_1771", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1772", "to_node": "node_1773", "edge_type": "modification", "reasoning": "Increase 10 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.499)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1773", "to_node": "node_1774", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1774", "to_node": "node_1775", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1775", "to_node": "node_1776", "edge_type": "modification", "reasoning": "Increase 4 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.587)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1776", "to_node": "node_1777", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1777", "to_node": "node_1778", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1778", "to_node": "node_1779", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1780", "to_node": "node_1781", "edge_type": "modification", "reasoning": "Increase 5 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.626)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1781", "to_node": "node_1782", "edge_type": "modification", "reasoning": "Increase 14 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.422)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1782", "to_node": "node_1783", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1783", "to_node": "node_1784", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1785", "to_node": "node_1786", "edge_type": "modification", "reasoning": "Increase 10 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.508)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1786", "to_node": "node_1787", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1787", "to_node": "node_1788", "edge_type": "modification", "reasoning": "Increase 4 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1788", "to_node": "node_1789", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1790", "to_node": "node_1791", "edge_type": "modification", "reasoning": "Increase 13 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1791", "to_node": "node_1792", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1792", "to_node": "node_1793", "edge_type": "modification", "reasoning": "Increase 3 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1793", "to_node": "node_1794", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1795", "to_node": "node_1796", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1796", "to_node": "node_1797", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1797", "to_node": "node_1798", "edge_type": "modification", "reasoning": "Increase 11 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1798", "to_node": "node_1799", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1800", "to_node": "node_1801", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1801", "to_node": "node_1802", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1802", "to_node": "node_1803", "edge_type": "modification", "reasoning": "Increase 0 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1803", "to_node": "node_1804", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1804", "to_node": "node_1805", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1806", "to_node": "node_1807", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002796)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1807", "to_node": "node_1808", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003197)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1808", "to_node": "node_1809", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1809", "to_node": "node_1810", "edge_type": "modification", "reasoning": "Increase 1 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1810", "to_node": "node_1811", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1812", "to_node": "node_1813", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1813", "to_node": "node_1814", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1814", "to_node": "node_1815", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1815", "to_node": "node_1816", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1816", "to_node": "node_1817", "edge_type": "modification", "reasoning": "Increase 14 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1817", "to_node": "node_1818", "edge_type": "modification", "reasoning": "Increase 12 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.529)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1818", "to_node": "node_1819", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1820", "to_node": "node_1821", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002690)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1821", "to_node": "node_1822", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1822", "to_node": "node_1823", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1823", "to_node": "node_1824", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1825", "to_node": "node_1826", "edge_type": "modification", "reasoning": "Increase 14 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1826", "to_node": "node_1827", "edge_type": "modification", "reasoning": "Increase 14 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1827", "to_node": "node_1828", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1828", "to_node": "node_1829", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1829", "to_node": "node_1830", "edge_type": "modification", "reasoning": "Increase 2 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1830", "to_node": "node_1831", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1832", "to_node": "node_1833", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1833", "to_node": "node_1834", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1834", "to_node": "node_1835", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003867)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1835", "to_node": "node_1836", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1836", "to_node": "node_1837", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1838", "to_node": "node_1839", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1839", "to_node": "node_1840", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1840", "to_node": "node_1841", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1841", "to_node": "node_1842", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1842", "to_node": "node_1843", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1844", "to_node": "node_1845", "edge_type": "modification", "reasoning": "Increase 7 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.342)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1845", "to_node": "node_1846", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003980)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1846", "to_node": "node_1847", "edge_type": "modification", "reasoning": "Increase 9 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.493)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1847", "to_node": "node_1848", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1848", "to_node": "node_1849", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1850", "to_node": "node_1851", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002642)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1851", "to_node": "node_1852", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003558)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1852", "to_node": "node_1853", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003895)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1853", "to_node": "node_1854", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1854", "to_node": "node_1855", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1856", "to_node": "node_1857", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1857", "to_node": "node_1858", "edge_type": "modification", "reasoning": "Increase 12 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.348)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1858", "to_node": "node_1859", "edge_type": "modification", "reasoning": "Increase 7 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.495)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1859", "to_node": "node_1860", "edge_type": "modification", "reasoning": "Increase 10 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1860", "to_node": "node_1861", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1862", "to_node": "node_1863", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002544)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1863", "to_node": "node_1864", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1864", "to_node": "node_1865", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1865", "to_node": "node_1866", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1866", "to_node": "node_1867", "edge_type": "modification", "reasoning": "Increase 14 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.385)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1867", "to_node": "node_1868", "edge_type": "modification", "reasoning": "Increase 14 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1868", "to_node": "node_1869", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1869", "to_node": "node_1870", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1871", "to_node": "node_1872", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1872", "to_node": "node_1873", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1873", "to_node": "node_1874", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1874", "to_node": "node_1875", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1875", "to_node": "node_1876", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1877", "to_node": "node_1878", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1878", "to_node": "node_1879", "edge_type": "modification", "reasoning": "Increase 1 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1879", "to_node": "node_1880", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1880", "to_node": "node_1881", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1881", "to_node": "node_1882", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1882", "to_node": "node_1883", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1884", "to_node": "node_1885", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1885", "to_node": "node_1886", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1886", "to_node": "node_1887", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004045)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1887", "to_node": "node_1888", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1888", "to_node": "node_1889", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1890", "to_node": "node_1891", "edge_type": "modification", "reasoning": "Increase 7 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.527)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1891", "to_node": "node_1892", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1892", "to_node": "node_1893", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1893", "to_node": "node_1894", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1894", "to_node": "node_1895", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1895", "to_node": "node_1896", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1897", "to_node": "node_1898", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1898", "to_node": "node_1899", "edge_type": "modification", "reasoning": "Increase 8 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.497)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1899", "to_node": "node_1900", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1900", "to_node": "node_1901", "edge_type": "modification", "reasoning": "Increase 12 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1901", "to_node": "node_1902", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1903", "to_node": "node_1904", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003421)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1904", "to_node": "node_1905", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1905", "to_node": "node_1906", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1906", "to_node": "node_1907", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1908", "to_node": "node_1909", "edge_type": "modification", "reasoning": "Increase 6 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.536)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1909", "to_node": "node_1910", "edge_type": "modification", "reasoning": "Increase 13 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.553)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1910", "to_node": "node_1911", "edge_type": "modification", "reasoning": "Increase 1 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.412)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1911", "to_node": "node_1912", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1912", "to_node": "node_1913", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1914", "to_node": "node_1915", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003743)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1915", "to_node": "node_1916", "edge_type": "modification", "reasoning": "Increase 9 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.335)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1916", "to_node": "node_1917", "edge_type": "modification", "reasoning": "Increase 2 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1917", "to_node": "node_1918", "edge_type": "modification", "reasoning": "Increase 10 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1918", "to_node": "node_1919", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1919", "to_node": "node_1920", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1921", "to_node": "node_1922", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1922", "to_node": "node_1923", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1923", "to_node": "node_1924", "edge_type": "modification", "reasoning": "Increase 9 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1924", "to_node": "node_1925", "edge_type": "modification", "reasoning": "Increase 5 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.560)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1925", "to_node": "node_1926", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1927", "to_node": "node_1928", "edge_type": "modification", "reasoning": "Increase 7 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1928", "to_node": "node_1929", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1929", "to_node": "node_1930", "edge_type": "modification", "reasoning": "Increase 0 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.401)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1930", "to_node": "node_1931", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1931", "to_node": "node_1932", "edge_type": "modification", "reasoning": "Increase 8 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.626)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1932", "to_node": "node_1933", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1933", "to_node": "node_1934", "edge_type": "modification", "reasoning": "Increase 8 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.621)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1934", "to_node": "node_1935", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1936", "to_node": "node_1937", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002994)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1937", "to_node": "node_1938", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1938", "to_node": "node_1939", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004753)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1939", "to_node": "node_1940", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1940", "to_node": "node_1941", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1941", "to_node": "node_1942", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1943", "to_node": "node_1944", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1944", "to_node": "node_1945", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003286)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1945", "to_node": "node_1946", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1946", "to_node": "node_1947", "edge_type": "modification", "reasoning": "Increase 10 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1947", "to_node": "node_1948", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1948", "to_node": "node_1949", "edge_type": "modification", "reasoning": "Increase 8 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1949", "to_node": "node_1950", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1951", "to_node": "node_1952", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004320)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1952", "to_node": "node_1953", "edge_type": "modification", "reasoning": "Increase 2 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1953", "to_node": "node_1954", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1954", "to_node": "node_1955", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1956", "to_node": "node_1957", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1957", "to_node": "node_1958", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1958", "to_node": "node_1959", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1959", "to_node": "node_1960", "edge_type": "modification", "reasoning": "Increase 4 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1960", "to_node": "node_1961", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1961", "to_node": "node_1962", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1963", "to_node": "node_1964", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1964", "to_node": "node_1965", "edge_type": "modification", "reasoning": "Increase 4 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.468)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1965", "to_node": "node_1966", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1966", "to_node": "node_1967", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1967", "to_node": "node_1968", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1968", "to_node": "node_1969", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1970", "to_node": "node_1971", "edge_type": "modification", "reasoning": "Increase 10 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1971", "to_node": "node_1972", "edge_type": "modification", "reasoning": "Increase 8 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1972", "to_node": "node_1973", "edge_type": "modification", "reasoning": "Increase 0 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.572)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1973", "to_node": "node_1974", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1974", "to_node": "node_1975", "edge_type": "modification", "reasoning": "Increase 1 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1975", "to_node": "node_1976", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1976", "to_node": "node_1977", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1977", "to_node": "node_1978", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1979", "to_node": "node_1980", "edge_type": "modification", "reasoning": "Increase 10 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1980", "to_node": "node_1981", "edge_type": "modification", "reasoning": "Increase 9 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1981", "to_node": "node_1982", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1982", "to_node": "node_1983", "edge_type": "modification", "reasoning": "Increase 15 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1983", "to_node": "node_1984", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1985", "to_node": "node_1986", "edge_type": "modification", "reasoning": "Increase 2 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1986", "to_node": "node_1987", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1987", "to_node": "node_1988", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003838)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1988", "to_node": "node_1989", "edge_type": "modification", "reasoning": "Increase 9 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.391)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1989", "to_node": "node_1990", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1990", "to_node": "node_1991", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1992", "to_node": "node_1993", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003677)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1993", "to_node": "node_1994", "edge_type": "modification", "reasoning": "Increase 0 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.453)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1994", "to_node": "node_1995", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003008)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1995", "to_node": "node_1996", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1996", "to_node": "node_1997", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1997", "to_node": "node_1998", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1998", "to_node": "node_1999", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2000", "to_node": "node_2001", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2001", "to_node": "node_2002", "edge_type": "modification", "reasoning": "Increase 10 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2002", "to_node": "node_2003", "edge_type": "modification", "reasoning": "Increase 1 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.603)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2003", "to_node": "node_2004", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2004", "to_node": "node_2005", "edge_type": "modification", "reasoning": "Increase 13 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.399)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2005", "to_node": "node_2006", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2007", "to_node": "node_2008", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2008", "to_node": "node_2009", "edge_type": "modification", "reasoning": "Increase 7 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.441)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2009", "to_node": "node_2010", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004668)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2010", "to_node": "node_2011", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2011", "to_node": "node_2012", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003930)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2012", "to_node": "node_2013", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2013", "to_node": "node_2014", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2015", "to_node": "node_2016", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2016", "to_node": "node_2017", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2017", "to_node": "node_2018", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2018", "to_node": "node_2019", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2020", "to_node": "node_2021", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2021", "to_node": "node_2022", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2022", "to_node": "node_2023", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2023", "to_node": "node_2024", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2025", "to_node": "node_2026", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003086)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2026", "to_node": "node_2027", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2027", "to_node": "node_2028", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2028", "to_node": "node_2029", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2029", "to_node": "node_2030", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2031", "to_node": "node_2032", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2032", "to_node": "node_2033", "edge_type": "modification", "reasoning": "Increase 13 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2033", "to_node": "node_2034", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2034", "to_node": "node_2035", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2036", "to_node": "node_2037", "edge_type": "modification", "reasoning": "Increase 0 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.464)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2037", "to_node": "node_2038", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2038", "to_node": "node_2039", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2039", "to_node": "node_2040", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003623)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2040", "to_node": "node_2041", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003709)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2041", "to_node": "node_2042", "edge_type": "modification", "reasoning": "Increase 1 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2042", "to_node": "node_2043", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2043", "to_node": "node_2044", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2045", "to_node": "node_2046", "edge_type": "modification", "reasoning": "Increase 8 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.355)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2046", "to_node": "node_2047", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2047", "to_node": "node_2048", "edge_type": "modification", "reasoning": "Increase 4 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.580)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2048", "to_node": "node_2049", "edge_type": "modification", "reasoning": "Increase 12 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.527)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2049", "to_node": "node_2050", "edge_type": "modification", "reasoning": "Increase 5 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2050", "to_node": "node_2051", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2052", "to_node": "node_2053", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003855)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2053", "to_node": "node_2054", "edge_type": "modification", "reasoning": "Increase 0 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2054", "to_node": "node_2055", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2055", "to_node": "node_2056", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2056", "to_node": "node_2057", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2058", "to_node": "node_2059", "edge_type": "modification", "reasoning": "Increase 6 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2059", "to_node": "node_2060", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001156)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2060", "to_node": "node_2061", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002672)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2061", "to_node": "node_2062", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2062", "to_node": "node_2063", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2063", "to_node": "node_2064", "edge_type": "modification", "reasoning": "Increase 8 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2064", "to_node": "node_2065", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2065", "to_node": "node_2066", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2067", "to_node": "node_2068", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003697)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2068", "to_node": "node_2069", "edge_type": "modification", "reasoning": "Increase 0 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2069", "to_node": "node_2070", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004110)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2070", "to_node": "node_2071", "edge_type": "modification", "reasoning": "Increase 0 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2071", "to_node": "node_2072", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2072", "to_node": "node_2073", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2073", "to_node": "node_2074", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2074", "to_node": "node_2075", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2076", "to_node": "node_2077", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2077", "to_node": "node_2078", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2078", "to_node": "node_2079", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2079", "to_node": "node_2080", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2081", "to_node": "node_2082", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003002)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2082", "to_node": "node_2083", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2083", "to_node": "node_2084", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2084", "to_node": "node_2085", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2085", "to_node": "node_2086", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2087", "to_node": "node_2088", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003916)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2088", "to_node": "node_2089", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004349)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2089", "to_node": "node_2090", "edge_type": "modification", "reasoning": "Increase 6 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2090", "to_node": "node_2091", "edge_type": "modification", "reasoning": "Increase 8 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2091", "to_node": "node_2092", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2092", "to_node": "node_2093", "edge_type": "modification", "reasoning": "Increase 12 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.580)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2093", "to_node": "node_2094", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2095", "to_node": "node_2096", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2096", "to_node": "node_2097", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2097", "to_node": "node_2098", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2098", "to_node": "node_2099", "edge_type": "modification", "reasoning": "Increase 12 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2099", "to_node": "node_2100", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2100", "to_node": "node_2101", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2102", "to_node": "node_2103", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2103", "to_node": "node_2104", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2104", "to_node": "node_2105", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2106", "to_node": "node_2107", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2107", "to_node": "node_2108", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2108", "to_node": "node_2109", "edge_type": "modification", "reasoning": "Increase 10 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2109", "to_node": "node_2110", "edge_type": "modification", "reasoning": "Increase 3 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2110", "to_node": "node_2111", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2112", "to_node": "node_2113", "edge_type": "modification", "reasoning": "Increase 11 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2113", "to_node": "node_2114", "edge_type": "modification", "reasoning": "Increase 4 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.439)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2114", "to_node": "node_2115", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2115", "to_node": "node_2116", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003169)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2116", "to_node": "node_2117", "edge_type": "modification", "reasoning": "Increase 9 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2117", "to_node": "node_2118", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2118", "to_node": "node_2119", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2120", "to_node": "node_2121", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003841)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2121", "to_node": "node_2122", "edge_type": "modification", "reasoning": "Increase 1 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.397)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2122", "to_node": "node_2123", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003897)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2123", "to_node": "node_2124", "edge_type": "modification", "reasoning": "Increase 0 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.468)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2124", "to_node": "node_2125", "edge_type": "modification", "reasoning": "Increase 1 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2125", "to_node": "node_2126", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2126", "to_node": "node_2127", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2128", "to_node": "node_2129", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2129", "to_node": "node_2130", "edge_type": "modification", "reasoning": "Increase 13 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.538)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2130", "to_node": "node_2131", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2131", "to_node": "node_2132", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2133", "to_node": "node_2134", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003805)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2134", "to_node": "node_2135", "edge_type": "modification", "reasoning": "Increase 2 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.575)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2135", "to_node": "node_2136", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2136", "to_node": "node_2137", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2137", "to_node": "node_2138", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2139", "to_node": "node_2140", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2140", "to_node": "node_2141", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2141", "to_node": "node_2142", "edge_type": "modification", "reasoning": "Increase 11 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.650)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2142", "to_node": "node_2143", "edge_type": "modification", "reasoning": "Increase 6 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2143", "to_node": "node_2144", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2145", "to_node": "node_2146", "edge_type": "modification", "reasoning": "Increase 7 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2146", "to_node": "node_2147", "edge_type": "modification", "reasoning": "Increase 0 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.381)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2147", "to_node": "node_2148", "edge_type": "modification", "reasoning": "Increase 2 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2148", "to_node": "node_2149", "edge_type": "modification", "reasoning": "Increase 7 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2149", "to_node": "node_2150", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2151", "to_node": "node_2152", "edge_type": "modification", "reasoning": "Increase 0 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.506)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2152", "to_node": "node_2153", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2153", "to_node": "node_2154", "edge_type": "modification", "reasoning": "Increase 13 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2154", "to_node": "node_2155", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2156", "to_node": "node_2157", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2157", "to_node": "node_2158", "edge_type": "modification", "reasoning": "Increase 1 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2158", "to_node": "node_2159", "edge_type": "modification", "reasoning": "Increase 5 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.520)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2159", "to_node": "node_2160", "edge_type": "modification", "reasoning": "Increase 3 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2160", "to_node": "node_2161", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2162", "to_node": "node_2163", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003846)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2163", "to_node": "node_2164", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2164", "to_node": "node_2165", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003498)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2165", "to_node": "node_2166", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2166", "to_node": "node_2167", "edge_type": "modification", "reasoning": "Increase 9 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2167", "to_node": "node_2168", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2168", "to_node": "node_2169", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2170", "to_node": "node_2171", "edge_type": "modification", "reasoning": "Increase 10 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.439)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2171", "to_node": "node_2172", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003442)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2172", "to_node": "node_2173", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003344)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2173", "to_node": "node_2174", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2174", "to_node": "node_2175", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2175", "to_node": "node_2176", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2177", "to_node": "node_2178", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2178", "to_node": "node_2179", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2179", "to_node": "node_2180", "edge_type": "modification", "reasoning": "Increase 3 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2180", "to_node": "node_2181", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2182", "to_node": "node_2183", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003669)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2183", "to_node": "node_2184", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2184", "to_node": "node_2185", "edge_type": "modification", "reasoning": "Increase 5 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2185", "to_node": "node_2186", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2186", "to_node": "node_2187", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2188", "to_node": "node_2189", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2189", "to_node": "node_2190", "edge_type": "modification", "reasoning": "Increase 10 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2190", "to_node": "node_2191", "edge_type": "modification", "reasoning": "Increase 10 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2191", "to_node": "node_2192", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2193", "to_node": "node_2194", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2194", "to_node": "node_2195", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2195", "to_node": "node_2196", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2196", "to_node": "node_2197", "edge_type": "modification", "reasoning": "Increase 2 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.333)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2197", "to_node": "node_2198", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2199", "to_node": "node_2200", "edge_type": "modification", "reasoning": "Increase 4 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2200", "to_node": "node_2201", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2201", "to_node": "node_2202", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002045)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2202", "to_node": "node_2203", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2203", "to_node": "node_2204", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2204", "to_node": "node_2205", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2206", "to_node": "node_2207", "edge_type": "modification", "reasoning": "Increase 12 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2207", "to_node": "node_2208", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002774)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2208", "to_node": "node_2209", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2209", "to_node": "node_2210", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2211", "to_node": "node_2212", "edge_type": "modification", "reasoning": "Increase 12 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.372)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2212", "to_node": "node_2213", "edge_type": "modification", "reasoning": "Increase 13 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2213", "to_node": "node_2214", "edge_type": "modification", "reasoning": "Increase 7 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.575)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2214", "to_node": "node_2215", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004466)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2215", "to_node": "node_2216", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2216", "to_node": "node_2217", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2217", "to_node": "node_2218", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2218", "to_node": "node_2219", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2220", "to_node": "node_2221", "edge_type": "modification", "reasoning": "Increase 3 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2221", "to_node": "node_2222", "edge_type": "modification", "reasoning": "Increase 4 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.456)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2222", "to_node": "node_2223", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2223", "to_node": "node_2224", "edge_type": "modification", "reasoning": "Increase 1 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.658)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2224", "to_node": "node_2225", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2225", "to_node": "node_2226", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2226", "to_node": "node_2227", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2228", "to_node": "node_2229", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001016)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2229", "to_node": "node_2230", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002795)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2230", "to_node": "node_2231", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2231", "to_node": "node_2232", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2232", "to_node": "node_2233", "edge_type": "modification", "reasoning": "Increase 8 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2233", "to_node": "node_2234", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2234", "to_node": "node_2235", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2236", "to_node": "node_2237", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2237", "to_node": "node_2238", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2238", "to_node": "node_2239", "edge_type": "modification", "reasoning": "Increase 5 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.466)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2239", "to_node": "node_2240", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2240", "to_node": "node_2241", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2241", "to_node": "node_2242", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2242", "to_node": "node_2243", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2244", "to_node": "node_2245", "edge_type": "modification", "reasoning": "Increase 13 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2245", "to_node": "node_2246", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2246", "to_node": "node_2247", "edge_type": "modification", "reasoning": "Increase 0 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2247", "to_node": "node_2248", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2248", "to_node": "node_2249", "edge_type": "modification", "reasoning": "Increase 4 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.645)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2249", "to_node": "node_2250", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2251", "to_node": "node_2252", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2252", "to_node": "node_2253", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2253", "to_node": "node_2254", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2254", "to_node": "node_2255", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2255", "to_node": "node_2256", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005340)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2256", "to_node": "node_2257", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2257", "to_node": "node_2258", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2259", "to_node": "node_2260", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003807)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2260", "to_node": "node_2261", "edge_type": "modification", "reasoning": "Increase 10 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2261", "to_node": "node_2262", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002867)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2262", "to_node": "node_2263", "edge_type": "modification", "reasoning": "Increase 12 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.464)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2263", "to_node": "node_2264", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002033)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2264", "to_node": "node_2265", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2265", "to_node": "node_2266", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2267", "to_node": "node_2268", "edge_type": "modification", "reasoning": "Increase 13 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2268", "to_node": "node_2269", "edge_type": "modification", "reasoning": "Increase 6 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2269", "to_node": "node_2270", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2270", "to_node": "node_2271", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2271", "to_node": "node_2272", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003596)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2272", "to_node": "node_2273", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2273", "to_node": "node_2274", "edge_type": "modification", "reasoning": "Increase 7 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2274", "to_node": "node_2275", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2276", "to_node": "node_2277", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2277", "to_node": "node_2278", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2278", "to_node": "node_2279", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2279", "to_node": "node_2280", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2280", "to_node": "node_2281", "edge_type": "modification", "reasoning": "Increase 5 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2281", "to_node": "node_2282", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2282", "to_node": "node_2283", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2284", "to_node": "node_2285", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2285", "to_node": "node_2286", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2286", "to_node": "node_2287", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2287", "to_node": "node_2288", "edge_type": "modification", "reasoning": "Increase 1 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.504)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2288", "to_node": "node_2289", "edge_type": "modification", "reasoning": "Increase 12 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2289", "to_node": "node_2290", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2290", "to_node": "node_2291", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2292", "to_node": "node_2293", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2293", "to_node": "node_2294", "edge_type": "modification", "reasoning": "Increase 10 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2294", "to_node": "node_2295", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003869)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2295", "to_node": "node_2296", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2296", "to_node": "node_2297", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2298", "to_node": "node_2299", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002982)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2299", "to_node": "node_2300", "edge_type": "modification", "reasoning": "Increase 10 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2300", "to_node": "node_2301", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2301", "to_node": "node_2302", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003785)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2302", "to_node": "node_2303", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004017)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2303", "to_node": "node_2304", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2304", "to_node": "node_2305", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2305", "to_node": "node_2306", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2307", "to_node": "node_2308", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2308", "to_node": "node_2309", "edge_type": "modification", "reasoning": "Increase 10 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2309", "to_node": "node_2310", "edge_type": "modification", "reasoning": "Increase 10 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2310", "to_node": "node_2311", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2311", "to_node": "node_2312", "edge_type": "modification", "reasoning": "Increase 4 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2312", "to_node": "node_2313", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2314", "to_node": "node_2315", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002808)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2315", "to_node": "node_2316", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003210)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2316", "to_node": "node_2317", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001500)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2317", "to_node": "node_2318", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2318", "to_node": "node_2319", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2319", "to_node": "node_2320", "edge_type": "modification", "reasoning": "Increase 8 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2320", "to_node": "node_2321", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2321", "to_node": "node_2322", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2323", "to_node": "node_2324", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2324", "to_node": "node_2325", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2325", "to_node": "node_2326", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2326", "to_node": "node_2327", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2327", "to_node": "node_2328", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2328", "to_node": "node_2329", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2330", "to_node": "node_2331", "edge_type": "modification", "reasoning": "Increase 5 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.366)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2331", "to_node": "node_2332", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003624)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2332", "to_node": "node_2333", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2333", "to_node": "node_2334", "edge_type": "modification", "reasoning": "Increase 1 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2334", "to_node": "node_2335", "edge_type": "modification", "reasoning": "Increase 1 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2335", "to_node": "node_2336", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2336", "to_node": "node_2337", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2338", "to_node": "node_2339", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003644)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2339", "to_node": "node_2340", "edge_type": "modification", "reasoning": "Increase 11 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.404)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2340", "to_node": "node_2341", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003283)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2341", "to_node": "node_2342", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2342", "to_node": "node_2343", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2344", "to_node": "node_2345", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2345", "to_node": "node_2346", "edge_type": "modification", "reasoning": "Increase 6 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2346", "to_node": "node_2347", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2347", "to_node": "node_2348", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2348", "to_node": "node_2349", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2350", "to_node": "node_2351", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003407)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2351", "to_node": "node_2352", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2352", "to_node": "node_2353", "edge_type": "modification", "reasoning": "Increase 12 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.605)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2353", "to_node": "node_2354", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2355", "to_node": "node_2356", "edge_type": "modification", "reasoning": "Increase 9 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2356", "to_node": "node_2357", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2357", "to_node": "node_2358", "edge_type": "modification", "reasoning": "Increase 3 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2358", "to_node": "node_2359", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2359", "to_node": "node_2360", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2360", "to_node": "node_2361", "edge_type": "modification", "reasoning": "Increase 8 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.653)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2361", "to_node": "node_2362", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2362", "to_node": "node_2363", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2364", "to_node": "node_2365", "edge_type": "modification", "reasoning": "Increase 9 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.637)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2365", "to_node": "node_2366", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2366", "to_node": "node_2367", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2367", "to_node": "node_2368", "edge_type": "modification", "reasoning": "Increase 6 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2368", "to_node": "node_2369", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2369", "to_node": "node_2370", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2370", "to_node": "node_2371", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2372", "to_node": "node_2373", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2373", "to_node": "node_2374", "edge_type": "modification", "reasoning": "Increase 7 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2374", "to_node": "node_2375", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002067)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2375", "to_node": "node_2376", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2376", "to_node": "node_2377", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2377", "to_node": "node_2378", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2379", "to_node": "node_2380", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2380", "to_node": "node_2381", "edge_type": "modification", "reasoning": "Increase 3 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.479)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2381", "to_node": "node_2382", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2382", "to_node": "node_2383", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2383", "to_node": "node_2384", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2385", "to_node": "node_2386", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002722)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2386", "to_node": "node_2387", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002761)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2387", "to_node": "node_2388", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2388", "to_node": "node_2389", "edge_type": "modification", "reasoning": "Increase 0 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2389", "to_node": "node_2390", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2390", "to_node": "node_2391", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2392", "to_node": "node_2393", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2393", "to_node": "node_2394", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2394", "to_node": "node_2395", "edge_type": "modification", "reasoning": "Increase 8 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2395", "to_node": "node_2396", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003501)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2396", "to_node": "node_2397", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2397", "to_node": "node_2398", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2398", "to_node": "node_2399", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2400", "to_node": "node_2401", "edge_type": "modification", "reasoning": "Increase 5 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.634)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2401", "to_node": "node_2402", "edge_type": "modification", "reasoning": "Increase 4 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2402", "to_node": "node_2403", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004016)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2403", "to_node": "node_2404", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2404", "to_node": "node_2405", "edge_type": "modification", "reasoning": "Increase 7 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2405", "to_node": "node_2406", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2407", "to_node": "node_2408", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2408", "to_node": "node_2409", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2409", "to_node": "node_2410", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2410", "to_node": "node_2411", "edge_type": "modification", "reasoning": "Increase 0 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.439)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2411", "to_node": "node_2412", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2412", "to_node": "node_2413", "edge_type": "modification", "reasoning": "Increase 5 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.658)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2413", "to_node": "node_2414", "edge_type": "modification", "reasoning": "Increase 3 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.462)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2414", "to_node": "node_2415", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2416", "to_node": "node_2417", "edge_type": "modification", "reasoning": "Increase 12 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2417", "to_node": "node_2418", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2418", "to_node": "node_2419", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2419", "to_node": "node_2420", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2420", "to_node": "node_2421", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2421", "to_node": "node_2422", "edge_type": "modification", "reasoning": "Increase 2 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.536)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2422", "to_node": "node_2423", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2423", "to_node": "node_2424", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2425", "to_node": "node_2426", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2426", "to_node": "node_2427", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2427", "to_node": "node_2428", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2428", "to_node": "node_2429", "edge_type": "modification", "reasoning": "Increase 6 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2429", "to_node": "node_2430", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2430", "to_node": "node_2431", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2431", "to_node": "node_2432", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2433", "to_node": "node_2434", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003729)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2434", "to_node": "node_2435", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2435", "to_node": "node_2436", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002808)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2436", "to_node": "node_2437", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004603)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2437", "to_node": "node_2438", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2438", "to_node": "node_2439", "edge_type": "modification", "reasoning": "Increase 13 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2439", "to_node": "node_2440", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2441", "to_node": "node_2442", "edge_type": "modification", "reasoning": "Increase 12 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.565)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2442", "to_node": "node_2443", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003779)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2443", "to_node": "node_2444", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2444", "to_node": "node_2445", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2445", "to_node": "node_2446", "edge_type": "modification", "reasoning": "Increase 7 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.318)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2446", "to_node": "node_2447", "edge_type": "modification", "reasoning": "Increase 4 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2447", "to_node": "node_2448", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2449", "to_node": "node_2450", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2450", "to_node": "node_2451", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2451", "to_node": "node_2452", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2452", "to_node": "node_2453", "edge_type": "modification", "reasoning": "Increase 10 thickness by 39%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.395)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2453", "to_node": "node_2454", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2454", "to_node": "node_2455", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2456", "to_node": "node_2457", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2457", "to_node": "node_2458", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003210)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2458", "to_node": "node_2459", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2459", "to_node": "node_2460", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2460", "to_node": "node_2461", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2461", "to_node": "node_2462", "edge_type": "modification", "reasoning": "Increase 14 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2462", "to_node": "node_2463", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2464", "to_node": "node_2465", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003567)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2465", "to_node": "node_2466", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002762)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2466", "to_node": "node_2467", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2467", "to_node": "node_2468", "edge_type": "modification", "reasoning": "Increase 15 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2468", "to_node": "node_2469", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2469", "to_node": "node_2470", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2471", "to_node": "node_2472", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2472", "to_node": "node_2473", "edge_type": "modification", "reasoning": "Increase 0 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2473", "to_node": "node_2474", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004575)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2474", "to_node": "node_2475", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002791)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2475", "to_node": "node_2476", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2476", "to_node": "node_2477", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2477", "to_node": "node_2478", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2479", "to_node": "node_2480", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003469)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2480", "to_node": "node_2481", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2481", "to_node": "node_2482", "edge_type": "modification", "reasoning": "Increase 7 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2482", "to_node": "node_2483", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2483", "to_node": "node_2484", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2484", "to_node": "node_2485", "edge_type": "modification", "reasoning": "Increase 2 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.355)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2485", "to_node": "node_2486", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2486", "to_node": "node_2487", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2488", "to_node": "node_2489", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003781)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2489", "to_node": "node_2490", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005061)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2490", "to_node": "node_2491", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004261)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2491", "to_node": "node_2492", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2492", "to_node": "node_2493", "edge_type": "modification", "reasoning": "Increase 2 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.592)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2493", "to_node": "node_2494", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2495", "to_node": "node_2496", "edge_type": "modification", "reasoning": "Increase 9 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.435)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2496", "to_node": "node_2497", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2497", "to_node": "node_2498", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2498", "to_node": "node_2499", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2500", "to_node": "node_2501", "edge_type": "modification", "reasoning": "Increase 11 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2501", "to_node": "node_2502", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2502", "to_node": "node_2503", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2503", "to_node": "node_2504", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2504", "to_node": "node_2505", "edge_type": "modification", "reasoning": "Increase 8 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.517)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2505", "to_node": "node_2506", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2506", "to_node": "node_2507", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2508", "to_node": "node_2509", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2509", "to_node": "node_2510", "edge_type": "modification", "reasoning": "Increase 3 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.433)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2510", "to_node": "node_2511", "edge_type": "modification", "reasoning": "Increase 14 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.372)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2511", "to_node": "node_2512", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2513", "to_node": "node_2514", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002109)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2514", "to_node": "node_2515", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2515", "to_node": "node_2516", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2516", "to_node": "node_2517", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2518", "to_node": "node_2519", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2519", "to_node": "node_2520", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2520", "to_node": "node_2521", "edge_type": "modification", "reasoning": "Increase 6 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2521", "to_node": "node_2522", "edge_type": "modification", "reasoning": "Increase 5 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2522", "to_node": "node_2523", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2524", "to_node": "node_2525", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2525", "to_node": "node_2526", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001475)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2526", "to_node": "node_2527", "edge_type": "modification", "reasoning": "Increase 12 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.513)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2527", "to_node": "node_2528", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2528", "to_node": "node_2529", "edge_type": "modification", "reasoning": "Increase 8 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.600)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2529", "to_node": "node_2530", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2530", "to_node": "node_2531", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2532", "to_node": "node_2533", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002659)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2533", "to_node": "node_2534", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2534", "to_node": "node_2535", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2535", "to_node": "node_2536", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2536", "to_node": "node_2537", "edge_type": "modification", "reasoning": "Increase 7 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.481)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2537", "to_node": "node_2538", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2538", "to_node": "node_2539", "edge_type": "modification", "reasoning": "Increase 3 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2539", "to_node": "node_2540", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2541", "to_node": "node_2542", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2542", "to_node": "node_2543", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2543", "to_node": "node_2544", "edge_type": "modification", "reasoning": "Increase 0 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.335)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2544", "to_node": "node_2545", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2546", "to_node": "node_2547", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2547", "to_node": "node_2548", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2548", "to_node": "node_2549", "edge_type": "modification", "reasoning": "Increase 7 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.502)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2549", "to_node": "node_2550", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2551", "to_node": "node_2552", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2552", "to_node": "node_2553", "edge_type": "modification", "reasoning": "Increase 15 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.427)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2553", "to_node": "node_2554", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2554", "to_node": "node_2555", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2555", "to_node": "node_2556", "edge_type": "modification", "reasoning": "Increase 2 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.623)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2556", "to_node": "node_2557", "edge_type": "modification", "reasoning": "Increase 6 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2557", "to_node": "node_2558", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2559", "to_node": "node_2560", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002977)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2560", "to_node": "node_2561", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2561", "to_node": "node_2562", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2562", "to_node": "node_2563", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2563", "to_node": "node_2564", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2565", "to_node": "node_2566", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.256)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2566", "to_node": "node_2567", "edge_type": "modification", "reasoning": "Increase 2 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2567", "to_node": "node_2568", "edge_type": "modification", "reasoning": "Increase 14 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2568", "to_node": "node_2569", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2569", "to_node": "node_2570", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2570", "to_node": "node_2571", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2571", "to_node": "node_2572", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2572", "to_node": "node_2573", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2574", "to_node": "node_2575", "edge_type": "modification", "reasoning": "Increase 2 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2575", "to_node": "node_2576", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003005)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2576", "to_node": "node_2577", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2577", "to_node": "node_2578", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2578", "to_node": "node_2579", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2579", "to_node": "node_2580", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2580", "to_node": "node_2581", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2581", "to_node": "node_2582", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2583", "to_node": "node_2584", "edge_type": "modification", "reasoning": "Increase 7 thickness by 42%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2584", "to_node": "node_2585", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2585", "to_node": "node_2586", "edge_type": "modification", "reasoning": "Increase 10 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.538)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2586", "to_node": "node_2587", "edge_type": "modification", "reasoning": "Increase 6 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2587", "to_node": "node_2588", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2589", "to_node": "node_2590", "edge_type": "modification", "reasoning": "Increase 10 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2590", "to_node": "node_2591", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2591", "to_node": "node_2592", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002127)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2592", "to_node": "node_2593", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2593", "to_node": "node_2594", "edge_type": "modification", "reasoning": "Increase 7 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.340)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2594", "to_node": "node_2595", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2596", "to_node": "node_2597", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2597", "to_node": "node_2598", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003389)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2598", "to_node": "node_2599", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2599", "to_node": "node_2600", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004354)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2600", "to_node": "node_2601", "edge_type": "modification", "reasoning": "Increase 2 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.605)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2601", "to_node": "node_2602", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2602", "to_node": "node_2603", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2604", "to_node": "node_2605", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2605", "to_node": "node_2606", "edge_type": "modification", "reasoning": "Increase 10 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2606", "to_node": "node_2607", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002825)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2607", "to_node": "node_2608", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003649)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2608", "to_node": "node_2609", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2609", "to_node": "node_2610", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2610", "to_node": "node_2611", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2612", "to_node": "node_2613", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2613", "to_node": "node_2614", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001421)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2614", "to_node": "node_2615", "edge_type": "modification", "reasoning": "Increase 8 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2615", "to_node": "node_2616", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2617", "to_node": "node_2618", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2618", "to_node": "node_2619", "edge_type": "modification", "reasoning": "Increase 15 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2619", "to_node": "node_2620", "edge_type": "modification", "reasoning": "Increase 0 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2620", "to_node": "node_2621", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2622", "to_node": "node_2623", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2623", "to_node": "node_2624", "edge_type": "modification", "reasoning": "Increase 10 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2624", "to_node": "node_2625", "edge_type": "modification", "reasoning": "Increase 13 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.610)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2625", "to_node": "node_2626", "edge_type": "modification", "reasoning": "Increase 9 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.538)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2626", "to_node": "node_2627", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2627", "to_node": "node_2628", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2628", "to_node": "node_2629", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2630", "to_node": "node_2631", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002175)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2631", "to_node": "node_2632", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2632", "to_node": "node_2633", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2633", "to_node": "node_2634", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2634", "to_node": "node_2635", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2635", "to_node": "node_2636", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2637", "to_node": "node_2638", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2638", "to_node": "node_2639", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2639", "to_node": "node_2640", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003609)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2640", "to_node": "node_2641", "edge_type": "modification", "reasoning": "Increase 10 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.600)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2641", "to_node": "node_2642", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2642", "to_node": "node_2643", "edge_type": "modification", "reasoning": "Increase 7 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2643", "to_node": "node_2644", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2644", "to_node": "node_2645", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2646", "to_node": "node_2647", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2647", "to_node": "node_2648", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2648", "to_node": "node_2649", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2649", "to_node": "node_2650", "edge_type": "modification", "reasoning": "Increase 13 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.592)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2650", "to_node": "node_2651", "edge_type": "modification", "reasoning": "Increase 7 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2651", "to_node": "node_2652", "edge_type": "modification", "reasoning": "Increase 0 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2652", "to_node": "node_2653", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2654", "to_node": "node_2655", "edge_type": "modification", "reasoning": "Increase 10 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.529)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2655", "to_node": "node_2656", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2656", "to_node": "node_2657", "edge_type": "modification", "reasoning": "Increase 15 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2657", "to_node": "node_2658", "edge_type": "modification", "reasoning": "Increase 10 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2658", "to_node": "node_2659", "edge_type": "modification", "reasoning": "Increase 10 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2659", "to_node": "node_2660", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2661", "to_node": "node_2662", "edge_type": "modification", "reasoning": "Increase 6 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.458)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2662", "to_node": "node_2663", "edge_type": "modification", "reasoning": "Increase 11 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.658)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2663", "to_node": "node_2664", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2664", "to_node": "node_2665", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2666", "to_node": "node_2667", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003396)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2667", "to_node": "node_2668", "edge_type": "modification", "reasoning": "Increase 14 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.486)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2668", "to_node": "node_2669", "edge_type": "modification", "reasoning": "Increase 8 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2669", "to_node": "node_2670", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2670", "to_node": "node_2671", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2672", "to_node": "node_2673", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2673", "to_node": "node_2674", "edge_type": "modification", "reasoning": "Increase 3 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2674", "to_node": "node_2675", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2675", "to_node": "node_2676", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2676", "to_node": "node_2677", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2677", "to_node": "node_2678", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2678", "to_node": "node_2679", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2679", "to_node": "node_2680", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2681", "to_node": "node_2682", "edge_type": "modification", "reasoning": "Increase 5 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2682", "to_node": "node_2683", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2683", "to_node": "node_2684", "edge_type": "modification", "reasoning": "Increase 11 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2684", "to_node": "node_2685", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2685", "to_node": "node_2686", "edge_type": "modification", "reasoning": "Increase 7 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.473)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2686", "to_node": "node_2687", "edge_type": "modification", "reasoning": "Increase 8 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.502)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2687", "to_node": "node_2688", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2688", "to_node": "node_2689", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2690", "to_node": "node_2691", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2691", "to_node": "node_2692", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2692", "to_node": "node_2693", "edge_type": "modification", "reasoning": "Increase 12 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2693", "to_node": "node_2694", "edge_type": "modification", "reasoning": "Increase 13 thickness by 50%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.499)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2694", "to_node": "node_2695", "edge_type": "modification", "reasoning": "Increase 15 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2695", "to_node": "node_2696", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2697", "to_node": "node_2698", "edge_type": "modification", "reasoning": "Increase 15 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.447)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2698", "to_node": "node_2699", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2699", "to_node": "node_2700", "edge_type": "modification", "reasoning": "Increase 11 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.493)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2700", "to_node": "node_2701", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2701", "to_node": "node_2702", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2702", "to_node": "node_2703", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2703", "to_node": "node_2704", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2705", "to_node": "node_2706", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003016)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2706", "to_node": "node_2707", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2707", "to_node": "node_2708", "edge_type": "modification", "reasoning": "Increase 14 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.206)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2708", "to_node": "node_2709", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003072)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2709", "to_node": "node_2710", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2710", "to_node": "node_2711", "edge_type": "modification", "reasoning": "Increase 9 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.541)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2711", "to_node": "node_2712", "edge_type": "modification", "reasoning": "Increase 6 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.637)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2712", "to_node": "node_2713", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2714", "to_node": "node_2715", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2715", "to_node": "node_2716", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2716", "to_node": "node_2717", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2717", "to_node": "node_2718", "edge_type": "modification", "reasoning": "Increase 5 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.192)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2718", "to_node": "node_2719", "edge_type": "modification", "reasoning": "Increase 13 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.637)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2719", "to_node": "node_2720", "edge_type": "modification", "reasoning": "Increase 2 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.534)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2720", "to_node": "node_2721", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2721", "to_node": "node_2722", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2723", "to_node": "node_2724", "edge_type": "modification", "reasoning": "Increase 1 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.513)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2724", "to_node": "node_2725", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2725", "to_node": "node_2726", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2726", "to_node": "node_2727", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003236)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2727", "to_node": "node_2728", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2728", "to_node": "node_2729", "edge_type": "modification", "reasoning": "Increase 3 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.252)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2729", "to_node": "node_2730", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2730", "to_node": "node_2731", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2732", "to_node": "node_2733", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2733", "to_node": "node_2734", "edge_type": "modification", "reasoning": "Increase 9 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2734", "to_node": "node_2735", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2735", "to_node": "node_2736", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2737", "to_node": "node_2738", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2738", "to_node": "node_2739", "edge_type": "modification", "reasoning": "Increase 5 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2739", "to_node": "node_2740", "edge_type": "modification", "reasoning": "Increase 12 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.600)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2740", "to_node": "node_2741", "edge_type": "modification", "reasoning": "Increase 12 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2741", "to_node": "node_2742", "edge_type": "modification", "reasoning": "Increase 13 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2742", "to_node": "node_2743", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2743", "to_node": "node_2744", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2744", "to_node": "node_2745", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2746", "to_node": "node_2747", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2747", "to_node": "node_2748", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2748", "to_node": "node_2749", "edge_type": "modification", "reasoning": "Increase 13 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2749", "to_node": "node_2750", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2751", "to_node": "node_2752", "edge_type": "modification", "reasoning": "Increase 7 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.550)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2752", "to_node": "node_2753", "edge_type": "modification", "reasoning": "Increase 13 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.202)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2753", "to_node": "node_2754", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2754", "to_node": "node_2755", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2756", "to_node": "node_2757", "edge_type": "modification", "reasoning": "Increase 7 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.431)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2757", "to_node": "node_2758", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2758", "to_node": "node_2759", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2759", "to_node": "node_2760", "edge_type": "modification", "reasoning": "Increase 9 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.570)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2760", "to_node": "node_2761", "edge_type": "modification", "reasoning": "Increase 15 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2761", "to_node": "node_2762", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2763", "to_node": "node_2764", "edge_type": "modification", "reasoning": "Increase 0 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.332)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2764", "to_node": "node_2765", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2765", "to_node": "node_2766", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2766", "to_node": "node_2767", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2768", "to_node": "node_2769", "edge_type": "modification", "reasoning": "Increase 10 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2769", "to_node": "node_2770", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2770", "to_node": "node_2771", "edge_type": "modification", "reasoning": "Increase 4 thickness by 54%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.541)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2771", "to_node": "node_2772", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2772", "to_node": "node_2773", "edge_type": "modification", "reasoning": "Increase 3 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2773", "to_node": "node_2774", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002938)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2774", "to_node": "node_2775", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2775", "to_node": "node_2776", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2777", "to_node": "node_2778", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2778", "to_node": "node_2779", "edge_type": "modification", "reasoning": "Increase 0 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2779", "to_node": "node_2780", "edge_type": "modification", "reasoning": "Increase 1 thickness by 67%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.667)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2780", "to_node": "node_2781", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2781", "to_node": "node_2782", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2782", "to_node": "node_2783", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2783", "to_node": "node_2784", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2785", "to_node": "node_2786", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2786", "to_node": "node_2787", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2787", "to_node": "node_2788", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2788", "to_node": "node_2789", "edge_type": "modification", "reasoning": "Increase 8 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.639)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2789", "to_node": "node_2790", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2790", "to_node": "node_2791", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2792", "to_node": "node_2793", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005067)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2793", "to_node": "node_2794", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2794", "to_node": "node_2795", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2795", "to_node": "node_2796", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2796", "to_node": "node_2797", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2798", "to_node": "node_2799", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003960)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2799", "to_node": "node_2800", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2800", "to_node": "node_2801", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2801", "to_node": "node_2802", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2802", "to_node": "node_2803", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2803", "to_node": "node_2804", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2805", "to_node": "node_2806", "edge_type": "modification", "reasoning": "Increase 0 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2806", "to_node": "node_2807", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2807", "to_node": "node_2808", "edge_type": "modification", "reasoning": "Increase 2 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2808", "to_node": "node_2809", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2810", "to_node": "node_2811", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002731)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2811", "to_node": "node_2812", "edge_type": "modification", "reasoning": "Increase 9 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.618)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2812", "to_node": "node_2813", "edge_type": "modification", "reasoning": "Increase 5 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.445)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2813", "to_node": "node_2814", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2814", "to_node": "node_2815", "edge_type": "modification", "reasoning": "Increase 3 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2815", "to_node": "node_2816", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2817", "to_node": "node_2818", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004715)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2818", "to_node": "node_2819", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004143)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2819", "to_node": "node_2820", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2820", "to_node": "node_2821", "edge_type": "modification", "reasoning": "Increase 0 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2821", "to_node": "node_2822", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2823", "to_node": "node_2824", "edge_type": "modification", "reasoning": "Increase 8 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.437)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2824", "to_node": "node_2825", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2825", "to_node": "node_2826", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2826", "to_node": "node_2827", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2828", "to_node": "node_2829", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2829", "to_node": "node_2830", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2830", "to_node": "node_2831", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2831", "to_node": "node_2832", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2833", "to_node": "node_2834", "edge_type": "modification", "reasoning": "Increase 4 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.335)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2834", "to_node": "node_2835", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2835", "to_node": "node_2836", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005095)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2836", "to_node": "node_2837", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003474)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2837", "to_node": "node_2838", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2838", "to_node": "node_2839", "edge_type": "modification", "reasoning": "Increase 15 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2839", "to_node": "node_2840", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2841", "to_node": "node_2842", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003708)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2842", "to_node": "node_2843", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2843", "to_node": "node_2844", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2844", "to_node": "node_2845", "edge_type": "modification", "reasoning": "Increase 2 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2845", "to_node": "node_2846", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2846", "to_node": "node_2847", "edge_type": "modification", "reasoning": "Increase 7 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.553)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2847", "to_node": "node_2848", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2849", "to_node": "node_2850", "edge_type": "modification", "reasoning": "Increase 14 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.337)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2850", "to_node": "node_2851", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2851", "to_node": "node_2852", "edge_type": "modification", "reasoning": "Increase 13 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2852", "to_node": "node_2853", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2854", "to_node": "node_2855", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002750)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2855", "to_node": "node_2856", "edge_type": "modification", "reasoning": "Increase 13 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2856", "to_node": "node_2857", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2857", "to_node": "node_2858", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003677)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2858", "to_node": "node_2859", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001936)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2859", "to_node": "node_2860", "edge_type": "modification", "reasoning": "Increase 4 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.305)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2860", "to_node": "node_2861", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2861", "to_node": "node_2862", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2863", "to_node": "node_2864", "edge_type": "modification", "reasoning": "Increase 12 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.182)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2864", "to_node": "node_2865", "edge_type": "modification", "reasoning": "Increase 1 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2865", "to_node": "node_2866", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2866", "to_node": "node_2867", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2867", "to_node": "node_2868", "edge_type": "modification", "reasoning": "Increase 4 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2868", "to_node": "node_2869", "edge_type": "modification", "reasoning": "Increase 4 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2869", "to_node": "node_2870", "edge_type": "modification", "reasoning": "Increase 5 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2870", "to_node": "node_2871", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2872", "to_node": "node_2873", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002911)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2873", "to_node": "node_2874", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2874", "to_node": "node_2875", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004467)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2875", "to_node": "node_2876", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2876", "to_node": "node_2877", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2878", "to_node": "node_2879", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2879", "to_node": "node_2880", "edge_type": "modification", "reasoning": "Increase 11 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.642)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2880", "to_node": "node_2881", "edge_type": "modification", "reasoning": "Increase 0 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.484)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2881", "to_node": "node_2882", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2882", "to_node": "node_2883", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2884", "to_node": "node_2885", "edge_type": "modification", "reasoning": "Increase 3 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.462)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2885", "to_node": "node_2886", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2886", "to_node": "node_2887", "edge_type": "modification", "reasoning": "Increase 11 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2887", "to_node": "node_2888", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2888", "to_node": "node_2889", "edge_type": "modification", "reasoning": "Increase 8 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.383)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2889", "to_node": "node_2890", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003751)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2890", "to_node": "node_2891", "edge_type": "modification", "reasoning": "Increase 12 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2891", "to_node": "node_2892", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2893", "to_node": "node_2894", "edge_type": "modification", "reasoning": "Increase 6 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.664)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2894", "to_node": "node_2895", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2895", "to_node": "node_2896", "edge_type": "modification", "reasoning": "Increase 3 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2896", "to_node": "node_2897", "edge_type": "modification", "reasoning": "Increase 6 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2897", "to_node": "node_2898", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2898", "to_node": "node_2899", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2900", "to_node": "node_2901", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2901", "to_node": "node_2902", "edge_type": "modification", "reasoning": "Increase 5 thickness by 38%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.379)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2902", "to_node": "node_2903", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2903", "to_node": "node_2904", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2904", "to_node": "node_2905", "edge_type": "modification", "reasoning": "Increase 9 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.560)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2905", "to_node": "node_2906", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2907", "to_node": "node_2908", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2908", "to_node": "node_2909", "edge_type": "modification", "reasoning": "Increase 3 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2909", "to_node": "node_2910", "edge_type": "modification", "reasoning": "Increase 7 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.340)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2910", "to_node": "node_2911", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2912", "to_node": "node_2913", "edge_type": "modification", "reasoning": "Increase 3 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.605)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2913", "to_node": "node_2914", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001513)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2914", "to_node": "node_2915", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2915", "to_node": "node_2916", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2916", "to_node": "node_2917", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2917", "to_node": "node_2918", "edge_type": "modification", "reasoning": "Increase 0 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2918", "to_node": "node_2919", "edge_type": "modification", "reasoning": "Increase 12 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2919", "to_node": "node_2920", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2921", "to_node": "node_2922", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.252)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2922", "to_node": "node_2923", "edge_type": "modification", "reasoning": "Increase 11 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2923", "to_node": "node_2924", "edge_type": "modification", "reasoning": "Increase 6 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2924", "to_node": "node_2925", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.302)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2925", "to_node": "node_2926", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2927", "to_node": "node_2928", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003365)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2928", "to_node": "node_2929", "edge_type": "modification", "reasoning": "Increase 7 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.517)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2929", "to_node": "node_2930", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2930", "to_node": "node_2931", "edge_type": "modification", "reasoning": "Increase 13 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2931", "to_node": "node_2932", "edge_type": "modification", "reasoning": "Increase 10 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.490)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2932", "to_node": "node_2933", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2934", "to_node": "node_2935", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2935", "to_node": "node_2936", "edge_type": "modification", "reasoning": "Increase 6 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2936", "to_node": "node_2937", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2937", "to_node": "node_2938", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2938", "to_node": "node_2939", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2940", "to_node": "node_2941", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2941", "to_node": "node_2942", "edge_type": "modification", "reasoning": "Increase 4 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.616)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2942", "to_node": "node_2943", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2943", "to_node": "node_2944", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004702)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2944", "to_node": "node_2945", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003846)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2945", "to_node": "node_2946", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002609)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2946", "to_node": "node_2947", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2947", "to_node": "node_2948", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2949", "to_node": "node_2950", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2950", "to_node": "node_2951", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002846)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2951", "to_node": "node_2952", "edge_type": "modification", "reasoning": "Increase 4 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.277)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2952", "to_node": "node_2953", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002451)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2953", "to_node": "node_2954", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2954", "to_node": "node_2955", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2955", "to_node": "node_2956", "edge_type": "modification", "reasoning": "Increase 9 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.242)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2956", "to_node": "node_2957", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2958", "to_node": "node_2959", "edge_type": "modification", "reasoning": "Increase 9 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.269)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2959", "to_node": "node_2960", "edge_type": "modification", "reasoning": "Increase 10 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.560)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2960", "to_node": "node_2961", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2961", "to_node": "node_2962", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2962", "to_node": "node_2963", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2964", "to_node": "node_2965", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2965", "to_node": "node_2966", "edge_type": "modification", "reasoning": "Increase 6 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2966", "to_node": "node_2967", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2967", "to_node": "node_2968", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2968", "to_node": "node_2969", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2970", "to_node": "node_2971", "edge_type": "modification", "reasoning": "Increase 10 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.475)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2971", "to_node": "node_2972", "edge_type": "modification", "reasoning": "Increase 5 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2972", "to_node": "node_2973", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002887)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2973", "to_node": "node_2974", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2974", "to_node": "node_2975", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2975", "to_node": "node_2976", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2977", "to_node": "node_2978", "edge_type": "modification", "reasoning": "Increase 10 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2978", "to_node": "node_2979", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004842)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2979", "to_node": "node_2980", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002686)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2980", "to_node": "node_2981", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2981", "to_node": "node_2982", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2983", "to_node": "node_2984", "edge_type": "modification", "reasoning": "Increase 3 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.600)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2984", "to_node": "node_2985", "edge_type": "modification", "reasoning": "Increase 5 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.362)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2985", "to_node": "node_2986", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2986", "to_node": "node_2987", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2987", "to_node": "node_2988", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004611)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2988", "to_node": "node_2989", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2989", "to_node": "node_2990", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2990", "to_node": "node_2991", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2992", "to_node": "node_2993", "edge_type": "modification", "reasoning": "Increase 9 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.323)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2993", "to_node": "node_2994", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2994", "to_node": "node_2995", "edge_type": "modification", "reasoning": "Increase 4 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.562)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2995", "to_node": "node_2996", "edge_type": "modification", "reasoning": "Increase 4 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.364)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2996", "to_node": "node_2997", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2997", "to_node": "node_2998", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2998", "to_node": "node_2999", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_2999", "to_node": "node_3000", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3001", "to_node": "node_3002", "edge_type": "modification", "reasoning": "Increase 8 thickness by 61%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.605)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3002", "to_node": "node_3003", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002772)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3003", "to_node": "node_3004", "edge_type": "modification", "reasoning": "Increase 1 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.330)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3004", "to_node": "node_3005", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3005", "to_node": "node_3006", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3006", "to_node": "node_3007", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3008", "to_node": "node_3009", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3009", "to_node": "node_3010", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3010", "to_node": "node_3011", "edge_type": "modification", "reasoning": "Increase 3 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3011", "to_node": "node_3012", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3012", "to_node": "node_3013", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3013", "to_node": "node_3014", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3015", "to_node": "node_3016", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3016", "to_node": "node_3017", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3017", "to_node": "node_3018", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3018", "to_node": "node_3019", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3020", "to_node": "node_3021", "edge_type": "modification", "reasoning": "Increase 10 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3021", "to_node": "node_3022", "edge_type": "modification", "reasoning": "Increase 12 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3022", "to_node": "node_3023", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3023", "to_node": "node_3024", "edge_type": "modification", "reasoning": "Increase 9 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3024", "to_node": "node_3025", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3025", "to_node": "node_3026", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3027", "to_node": "node_3028", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3028", "to_node": "node_3029", "edge_type": "modification", "reasoning": "Increase 9 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.271)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3029", "to_node": "node_3030", "edge_type": "modification", "reasoning": "Increase 6 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3030", "to_node": "node_3031", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3031", "to_node": "node_3032", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3033", "to_node": "node_3034", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3034", "to_node": "node_3035", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003021)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3035", "to_node": "node_3036", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3036", "to_node": "node_3037", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3037", "to_node": "node_3038", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003710)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3038", "to_node": "node_3039", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3039", "to_node": "node_3040", "edge_type": "modification", "reasoning": "Increase 4 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.471)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3040", "to_node": "node_3041", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3042", "to_node": "node_3043", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3043", "to_node": "node_3044", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3044", "to_node": "node_3045", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3045", "to_node": "node_3046", "edge_type": "modification", "reasoning": "Increase 0 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3046", "to_node": "node_3047", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3047", "to_node": "node_3048", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3049", "to_node": "node_3050", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3050", "to_node": "node_3051", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3051", "to_node": "node_3052", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3052", "to_node": "node_3053", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3054", "to_node": "node_3055", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3055", "to_node": "node_3056", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3056", "to_node": "node_3057", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3057", "to_node": "node_3058", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3058", "to_node": "node_3059", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3059", "to_node": "node_3060", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3061", "to_node": "node_3062", "edge_type": "modification", "reasoning": "Increase 7 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.203)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3062", "to_node": "node_3063", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.214)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3063", "to_node": "node_3064", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3064", "to_node": "node_3065", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3065", "to_node": "node_3066", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3066", "to_node": "node_3067", "edge_type": "modification", "reasoning": "Increase 13 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.351)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3067", "to_node": "node_3068", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3069", "to_node": "node_3070", "edge_type": "modification", "reasoning": "Increase 2 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.321)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3070", "to_node": "node_3071", "edge_type": "modification", "reasoning": "Increase 6 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3071", "to_node": "node_3072", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3072", "to_node": "node_3073", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3074", "to_node": "node_3075", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3075", "to_node": "node_3076", "edge_type": "modification", "reasoning": "Increase 10 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3076", "to_node": "node_3077", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3077", "to_node": "node_3078", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3078", "to_node": "node_3079", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3080", "to_node": "node_3081", "edge_type": "modification", "reasoning": "Increase 11 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.437)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3081", "to_node": "node_3082", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003516)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3082", "to_node": "node_3083", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3083", "to_node": "node_3084", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3084", "to_node": "node_3085", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3086", "to_node": "node_3087", "edge_type": "modification", "reasoning": "Increase 15 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.577)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3087", "to_node": "node_3088", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3088", "to_node": "node_3089", "edge_type": "modification", "reasoning": "Increase 2 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.404)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3089", "to_node": "node_3090", "edge_type": "modification", "reasoning": "Increase 1 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.353)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3090", "to_node": "node_3091", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3092", "to_node": "node_3093", "edge_type": "modification", "reasoning": "Increase 7 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.451)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3093", "to_node": "node_3094", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3094", "to_node": "node_3095", "edge_type": "modification", "reasoning": "Increase 1 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.311)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3095", "to_node": "node_3096", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3097", "to_node": "node_3098", "edge_type": "modification", "reasoning": "Increase 11 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.555)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3098", "to_node": "node_3099", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3099", "to_node": "node_3100", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3100", "to_node": "node_3101", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3102", "to_node": "node_3103", "edge_type": "modification", "reasoning": "Increase 13 thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.280)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3103", "to_node": "node_3104", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001411)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3104", "to_node": "node_3105", "edge_type": "modification", "reasoning": "Increase 10 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3105", "to_node": "node_3106", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3106", "to_node": "node_3107", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3107", "to_node": "node_3108", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3108", "to_node": "node_3109", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3110", "to_node": "node_3111", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001665)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3111", "to_node": "node_3112", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3112", "to_node": "node_3113", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3113", "to_node": "node_3114", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3114", "to_node": "node_3115", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3115", "to_node": "node_3116", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3116", "to_node": "node_3117", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3118", "to_node": "node_3119", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003339)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3119", "to_node": "node_3120", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003707)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3120", "to_node": "node_3121", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3121", "to_node": "node_3122", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3123", "to_node": "node_3124", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003698)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3124", "to_node": "node_3125", "edge_type": "modification", "reasoning": "Increase all_members thickness by 17%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3125", "to_node": "node_3126", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3126", "to_node": "node_3127", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3127", "to_node": "node_3128", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3129", "to_node": "node_3130", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001822)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3130", "to_node": "node_3131", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.295)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3131", "to_node": "node_3132", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3132", "to_node": "node_3133", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3134", "to_node": "node_3135", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3135", "to_node": "node_3136", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3136", "to_node": "node_3137", "edge_type": "modification", "reasoning": "Increase 0 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.524)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3137", "to_node": "node_3138", "edge_type": "modification", "reasoning": "Increase 13 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.520)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3138", "to_node": "node_3139", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3140", "to_node": "node_3141", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.220)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3141", "to_node": "node_3142", "edge_type": "modification", "reasoning": "Increase 4 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3142", "to_node": "node_3143", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003654)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3143", "to_node": "node_3144", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3144", "to_node": "node_3145", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3146", "to_node": "node_3147", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3147", "to_node": "node_3148", "edge_type": "modification", "reasoning": "Increase 2 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.451)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3148", "to_node": "node_3149", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3149", "to_node": "node_3150", "edge_type": "modification", "reasoning": "Increase 1 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.248)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3150", "to_node": "node_3151", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001930)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3151", "to_node": "node_3152", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3152", "to_node": "node_3153", "edge_type": "modification", "reasoning": "Increase 11 thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3153", "to_node": "node_3154", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3155", "to_node": "node_3156", "edge_type": "modification", "reasoning": "Increase 3 thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3156", "to_node": "node_3157", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3157", "to_node": "node_3158", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3158", "to_node": "node_3159", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002396)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3159", "to_node": "node_3160", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3160", "to_node": "node_3161", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3161", "to_node": "node_3162", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3162", "to_node": "node_3163", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3164", "to_node": "node_3165", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002980)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3165", "to_node": "node_3166", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3166", "to_node": "node_3167", "edge_type": "modification", "reasoning": "Increase 12 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.468)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3167", "to_node": "node_3168", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3168", "to_node": "node_3169", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3169", "to_node": "node_3170", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3170", "to_node": "node_3171", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3172", "to_node": "node_3173", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001690)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3173", "to_node": "node_3174", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3174", "to_node": "node_3175", "edge_type": "modification", "reasoning": "Increase 3 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.479)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3175", "to_node": "node_3176", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3176", "to_node": "node_3177", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3177", "to_node": "node_3178", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3179", "to_node": "node_3180", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3180", "to_node": "node_3181", "edge_type": "modification", "reasoning": "Increase 9 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3181", "to_node": "node_3182", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3182", "to_node": "node_3183", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3184", "to_node": "node_3185", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3185", "to_node": "node_3186", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3186", "to_node": "node_3187", "edge_type": "modification", "reasoning": "Increase 9 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.304)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3187", "to_node": "node_3188", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3188", "to_node": "node_3189", "edge_type": "modification", "reasoning": "Increase 4 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.403)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3189", "to_node": "node_3190", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3191", "to_node": "node_3192", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3192", "to_node": "node_3193", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3193", "to_node": "node_3194", "edge_type": "modification", "reasoning": "Increase 1 thickness by 63%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.629)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3194", "to_node": "node_3195", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3195", "to_node": "node_3196", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3196", "to_node": "node_3197", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3198", "to_node": "node_3199", "edge_type": "modification", "reasoning": "Increase 1 thickness by 62%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.621)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3199", "to_node": "node_3200", "edge_type": "modification", "reasoning": "Increase 4 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3200", "to_node": "node_3201", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3201", "to_node": "node_3202", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3202", "to_node": "node_3203", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3204", "to_node": "node_3205", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3205", "to_node": "node_3206", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3206", "to_node": "node_3207", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3207", "to_node": "node_3208", "edge_type": "modification", "reasoning": "Increase 4 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.366)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3208", "to_node": "node_3209", "edge_type": "modification", "reasoning": "Increase 1 thickness by 46%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.464)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3209", "to_node": "node_3210", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3210", "to_node": "node_3211", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3211", "to_node": "node_3212", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3213", "to_node": "node_3214", "edge_type": "modification", "reasoning": "Increase 8 thickness by 55%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.548)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3214", "to_node": "node_3215", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003576)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3215", "to_node": "node_3216", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3216", "to_node": "node_3217", "edge_type": "modification", "reasoning": "Increase 4 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3217", "to_node": "node_3218", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003384)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3218", "to_node": "node_3219", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3219", "to_node": "node_3220", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3221", "to_node": "node_3222", "edge_type": "modification", "reasoning": "Increase 7 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.429)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3222", "to_node": "node_3223", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3223", "to_node": "node_3224", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3224", "to_node": "node_3225", "edge_type": "modification", "reasoning": "Increase 7 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3225", "to_node": "node_3226", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3226", "to_node": "node_3227", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3228", "to_node": "node_3229", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3229", "to_node": "node_3230", "edge_type": "modification", "reasoning": "Increase 5 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.466)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3230", "to_node": "node_3231", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3231", "to_node": "node_3232", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3232", "to_node": "node_3233", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3233", "to_node": "node_3234", "edge_type": "modification", "reasoning": "Increase 1 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.653)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3234", "to_node": "node_3235", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3236", "to_node": "node_3237", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003632)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3237", "to_node": "node_3238", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003827)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3238", "to_node": "node_3239", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3239", "to_node": "node_3240", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3240", "to_node": "node_3241", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3241", "to_node": "node_3242", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3243", "to_node": "node_3244", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3244", "to_node": "node_3245", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004000)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3245", "to_node": "node_3246", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003907)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3246", "to_node": "node_3247", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3247", "to_node": "node_3248", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3249", "to_node": "node_3250", "edge_type": "modification", "reasoning": "Increase 2 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.572)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3250", "to_node": "node_3251", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3251", "to_node": "node_3252", "edge_type": "modification", "reasoning": "Increase 13 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.351)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3252", "to_node": "node_3253", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3254", "to_node": "node_3255", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003732)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3255", "to_node": "node_3256", "edge_type": "modification", "reasoning": "Increase 3 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.661)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3256", "to_node": "node_3257", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3257", "to_node": "node_3258", "edge_type": "modification", "reasoning": "Increase 5 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.250)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3258", "to_node": "node_3259", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3259", "to_node": "node_3260", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3260", "to_node": "node_3261", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3262", "to_node": "node_3263", "edge_type": "modification", "reasoning": "Increase 7 thickness by 44%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.441)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3263", "to_node": "node_3264", "edge_type": "modification", "reasoning": "Increase 12 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3264", "to_node": "node_3265", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003223)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3265", "to_node": "node_3266", "edge_type": "modification", "reasoning": "Increase 11 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3266", "to_node": "node_3267", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3267", "to_node": "node_3268", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3269", "to_node": "node_3270", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003532)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3270", "to_node": "node_3271", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3271", "to_node": "node_3272", "edge_type": "modification", "reasoning": "Increase 15 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(15, thickness, 1.366)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3272", "to_node": "node_3273", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3273", "to_node": "node_3274", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3275", "to_node": "node_3276", "edge_type": "modification", "reasoning": "Increase 1 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.230)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3276", "to_node": "node_3277", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.297)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3277", "to_node": "node_3278", "edge_type": "modification", "reasoning": "Increase 12 thickness by 47%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.473)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3278", "to_node": "node_3279", "edge_type": "modification", "reasoning": "Increase 9 thickness by 45%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.453)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3279", "to_node": "node_3280", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3281", "to_node": "node_3282", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3282", "to_node": "node_3283", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004155)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3283", "to_node": "node_3284", "edge_type": "modification", "reasoning": "Increase 10 thickness by 35%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.348)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3284", "to_node": "node_3285", "edge_type": "modification", "reasoning": "Increase 6 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.524)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3285", "to_node": "node_3286", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3286", "to_node": "node_3287", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3288", "to_node": "node_3289", "edge_type": "modification", "reasoning": "Increase 10 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.435)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3289", "to_node": "node_3290", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3290", "to_node": "node_3291", "edge_type": "modification", "reasoning": "Increase 4 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3291", "to_node": "node_3292", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3292", "to_node": "node_3293", "edge_type": "modification", "reasoning": "Increase all_members thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3293", "to_node": "node_3294", "edge_type": "modification", "reasoning": "Increase 3 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3294", "to_node": "node_3295", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3296", "to_node": "node_3297", "edge_type": "modification", "reasoning": "Increase 10 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.185)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3297", "to_node": "node_3298", "edge_type": "modification", "reasoning": "Increase all_members thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3298", "to_node": "node_3299", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004665)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3299", "to_node": "node_3300", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003928)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3300", "to_node": "node_3301", "edge_type": "modification", "reasoning": "Increase all_members thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3301", "to_node": "node_3302", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3302", "to_node": "node_3303", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3303", "to_node": "node_3304", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3305", "to_node": "node_3306", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3306", "to_node": "node_3307", "edge_type": "modification", "reasoning": "Increase 12 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3307", "to_node": "node_3308", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3308", "to_node": "node_3309", "edge_type": "modification", "reasoning": "Increase 10 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.182)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3309", "to_node": "node_3310", "edge_type": "modification", "reasoning": "Increase 13 thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.307)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3310", "to_node": "node_3311", "edge_type": "modification", "reasoning": "Increase 2 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.199)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3311", "to_node": "node_3312", "edge_type": "modification", "reasoning": "Increase 7 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.245)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3312", "to_node": "node_3313", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3314", "to_node": "node_3315", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3315", "to_node": "node_3316", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3316", "to_node": "node_3317", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004543)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3317", "to_node": "node_3318", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003168)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3318", "to_node": "node_3319", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3319", "to_node": "node_3320", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3320", "to_node": "node_3321", "edge_type": "modification", "reasoning": "Increase 7 thickness by 40%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.401)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3321", "to_node": "node_3322", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3323", "to_node": "node_3324", "edge_type": "modification", "reasoning": "Increase 7 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.488)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3324", "to_node": "node_3325", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004445)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3325", "to_node": "node_3326", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.135)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3326", "to_node": "node_3327", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3327", "to_node": "node_3328", "edge_type": "modification", "reasoning": "Increase 12 thickness by 49%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.493)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3328", "to_node": "node_3329", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3329", "to_node": "node_3330", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3331", "to_node": "node_3332", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003425)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3332", "to_node": "node_3333", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002542)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3333", "to_node": "node_3334", "edge_type": "modification", "reasoning": "Increase 6 thickness by 60%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3334", "to_node": "node_3335", "edge_type": "modification", "reasoning": "Increase 3 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.344)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3335", "to_node": "node_3336", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3336", "to_node": "node_3337", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3338", "to_node": "node_3339", "edge_type": "modification", "reasoning": "Increase 6 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.406)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3339", "to_node": "node_3340", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3340", "to_node": "node_3341", "edge_type": "modification", "reasoning": "Increase 3 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.368)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3341", "to_node": "node_3342", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002106)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3342", "to_node": "node_3343", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004276)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3343", "to_node": "node_3344", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3344", "to_node": "node_3345", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3346", "to_node": "node_3347", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3347", "to_node": "node_3348", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3348", "to_node": "node_3349", "edge_type": "modification", "reasoning": "Increase 0 thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.241)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3349", "to_node": "node_3350", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3350", "to_node": "node_3351", "edge_type": "modification", "reasoning": "Increase 5 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.366)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3351", "to_node": "node_3352", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3353", "to_node": "node_3354", "edge_type": "modification", "reasoning": "Increase 2 thickness by 36%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.357)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3354", "to_node": "node_3355", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.126)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3355", "to_node": "node_3356", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3356", "to_node": "node_3357", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3358", "to_node": "node_3359", "edge_type": "modification", "reasoning": "Increase 4 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(4, thickness, 1.229)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3359", "to_node": "node_3360", "edge_type": "modification", "reasoning": "Increase 10 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3360", "to_node": "node_3361", "edge_type": "modification", "reasoning": "Increase 0 thickness by 64%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.645)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3361", "to_node": "node_3362", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001839)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3362", "to_node": "node_3363", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3363", "to_node": "node_3364", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3365", "to_node": "node_3366", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3366", "to_node": "node_3367", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3367", "to_node": "node_3368", "edge_type": "modification", "reasoning": "Increase 10 thickness by 57%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.567)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3368", "to_node": "node_3369", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3370", "to_node": "node_3371", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.145)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3371", "to_node": "node_3372", "edge_type": "modification", "reasoning": "Increase 6 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.186)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3372", "to_node": "node_3373", "edge_type": "modification", "reasoning": "Increase 5 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3373", "to_node": "node_3374", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3374", "to_node": "node_3375", "edge_type": "modification", "reasoning": "Increase 7 thickness by 43%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.433)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3375", "to_node": "node_3376", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3377", "to_node": "node_3378", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001312)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3378", "to_node": "node_3379", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3379", "to_node": "node_3380", "edge_type": "modification", "reasoning": "Increase all_members thickness by 12%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3380", "to_node": "node_3381", "edge_type": "modification", "reasoning": "Increase 9 thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3381", "to_node": "node_3382", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3382", "to_node": "node_3383", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3384", "to_node": "node_3385", "edge_type": "modification", "reasoning": "Increase 5 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3385", "to_node": "node_3386", "edge_type": "modification", "reasoning": "Increase 6 thickness by 66%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.656)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3386", "to_node": "node_3387", "edge_type": "modification", "reasoning": "Increase all_members thickness by 13%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3387", "to_node": "node_3388", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3388", "to_node": "node_3389", "edge_type": "modification", "reasoning": "Increase 3 thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.182)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3389", "to_node": "node_3390", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3391", "to_node": "node_3392", "edge_type": "modification", "reasoning": "Add member connecting joints 6 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3392", "to_node": "node_3393", "edge_type": "modification", "reasoning": "Increase 2 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(2, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3393", "to_node": "node_3394", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3394", "to_node": "node_3395", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3395", "to_node": "node_3396", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3397", "to_node": "node_3398", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3398", "to_node": "node_3399", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.147)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3399", "to_node": "node_3400", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002694)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3400", "to_node": "node_3401", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003578)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3401", "to_node": "node_3402", "edge_type": "modification", "reasoning": "Increase 9 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(9, thickness, 1.227)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3402", "to_node": "node_3403", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3403", "to_node": "node_3404", "edge_type": "modification", "reasoning": "Increase 0 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.344)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3404", "to_node": "node_3405", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3406", "to_node": "node_3407", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", "metadata": null, "grammar_action": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3407", "to_node": "node_3408", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3408", "to_node": "node_3409", "edge_type": "modification", "reasoning": "Increase 7 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.515)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3409", "to_node": "node_3410", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3411", "to_node": "node_3412", "edge_type": "modification", "reasoning": "Increase 13 thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.217)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3412", "to_node": "node_3413", "edge_type": "modification", "reasoning": "Increase 14 thickness by 65%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.647)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3413", "to_node": "node_3414", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3414", "to_node": "node_3415", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3416", "to_node": "node_3417", "edge_type": "modification", "reasoning": "Increase 8 thickness by 48%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.477)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3417", "to_node": "node_3418", "edge_type": "modification", "reasoning": "Increase 5 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.289)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3418", "to_node": "node_3419", "edge_type": "modification", "reasoning": "Increase 0 thickness by 51%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.513)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3419", "to_node": "node_3420", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3421", "to_node": "node_3422", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3422", "to_node": "node_3423", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002597)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3423", "to_node": "node_3424", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002947)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3424", "to_node": "node_3425", "edge_type": "modification", "reasoning": "Increase all_members thickness by 27%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3425", "to_node": "node_3426", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3426", "to_node": "node_3427", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3428", "to_node": "node_3429", "edge_type": "modification", "reasoning": "Increase 13 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.529)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3429", "to_node": "node_3430", "edge_type": "modification", "reasoning": "Increase 10 thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(10, thickness, 1.200)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3430", "to_node": "node_3431", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004632)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3431", "to_node": "node_3432", "edge_type": "modification", "reasoning": "Increase 12 thickness by 33%", "metadata": null, "grammar_action": "SCALE_PARAM(12, thickness, 1.328)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3432", "to_node": "node_3433", "edge_type": "modification", "reasoning": "Increase 13 thickness by 37%", "metadata": null, "grammar_action": "SCALE_PARAM(13, thickness, 1.374)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3433", "to_node": "node_3434", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3434", "to_node": "node_3435", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3436", "to_node": "node_3437", "edge_type": "modification", "reasoning": "Increase 8 thickness by 29%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.290)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3437", "to_node": "node_3438", "edge_type": "modification", "reasoning": "Increase 0 thickness by 25%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.255)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3438", "to_node": "node_3439", "edge_type": "modification", "reasoning": "Increase 11 thickness by 56%", "metadata": null, "grammar_action": "SCALE_PARAM(11, thickness, 1.558)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3439", "to_node": "node_3440", "edge_type": "modification", "reasoning": "Increase 1 thickness by 59%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.587)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3440", "to_node": "node_3441", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3441", "to_node": "node_3442", "edge_type": "modification", "reasoning": "Add member connecting joints 3 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3442", "to_node": "node_3443", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3444", "to_node": "node_3445", "edge_type": "modification", "reasoning": "Increase all_members thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3445", "to_node": "node_3446", "edge_type": "modification", "reasoning": "Increase all_members thickness by 15%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3446", "to_node": "node_3447", "edge_type": "modification", "reasoning": "Increase all_members thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3447", "to_node": "node_3448", "edge_type": "modification", "reasoning": "Increase 7 thickness by 41%", "metadata": null, "grammar_action": "SCALE_PARAM(7, thickness, 1.408)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3448", "to_node": "node_3449", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3450", "to_node": "node_3451", "edge_type": "modification", "reasoning": "Increase all_members thickness by 14%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3451", "to_node": "node_3452", "edge_type": "modification", "reasoning": "Increase 6 thickness by 34%", "metadata": null, "grammar_action": "SCALE_PARAM(6, thickness, 1.340)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3452", "to_node": "node_3453", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3453", "to_node": "node_3454", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3455", "to_node": "node_3456", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3456", "to_node": "node_3457", "edge_type": "modification", "reasoning": "Increase 1 thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(1, thickness, 1.258)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3457", "to_node": "node_3458", "edge_type": "modification", "reasoning": "Increase 0 thickness by 58%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.585)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3458", "to_node": "node_3459", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3459", "to_node": "node_3460", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3461", "to_node": "node_3462", "edge_type": "modification", "reasoning": "Increase all_members thickness by 11%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3462", "to_node": "node_3463", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004583)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3463", "to_node": "node_3464", "edge_type": "modification", "reasoning": "Increase all_members thickness by 31%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3464", "to_node": "node_3465", "edge_type": "modification", "reasoning": "Increase 3 thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(3, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3465", "to_node": "node_3466", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3467", "to_node": "node_3468", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001343)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3468", "to_node": "node_3469", "edge_type": "modification", "reasoning": "Increase all_members thickness by 28%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3469", "to_node": "node_3470", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002187)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3470", "to_node": "node_3471", "edge_type": "modification", "reasoning": "Add member connecting joints 5 and 6", "metadata": null, "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002825)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3471", "to_node": "node_3472", "edge_type": "modification", "reasoning": "Increase all_members thickness by 18%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3472", "to_node": "node_3473", "edge_type": "modification", "reasoning": "Increase all_members thickness by 26%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.259)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3473", "to_node": "node_3474", "edge_type": "modification", "reasoning": "Increase all_members thickness by 30%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3474", "to_node": "node_3475", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3476", "to_node": "node_3477", "edge_type": "modification", "reasoning": "Add member connecting joints 2 and 7", "metadata": null, "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003525)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3477", "to_node": "node_3478", "edge_type": "modification", "reasoning": "Increase all_members thickness by 20%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3478", "to_node": "node_3479", "edge_type": "modification", "reasoning": "Increase 5 thickness by 23%", "metadata": null, "grammar_action": "SCALE_PARAM(5, thickness, 1.233)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3479", "to_node": "node_3480", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3481", "to_node": "node_3482", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3482", "to_node": "node_3483", "edge_type": "modification", "reasoning": "Increase all_members thickness by 22%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3483", "to_node": "node_3484", "edge_type": "modification", "reasoning": "Increase 14 thickness by 52%", "metadata": null, "grammar_action": "SCALE_PARAM(14, thickness, 1.524)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_3484", "to_node": "node_3485", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null } ] }